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3.2.0
  • Welcome
    • TRIQS applications
    • Python & C++
    • Where to start?
  • Installation
    • Packaged Versions of TRIQS
      • Ubuntu Debian packages
      • Anaconda
      • Docker
      • Apptainer
      • Binder
    • Compiling TRIQS from source using EasyBuild
    • Compiling TRIQS from source (Advanced)
      • Prerequisites
        • A complete list of requirements
          • C++ compilers
          • Tools and Libraries
          • Building the TRIQS documentation
        • Installing required libraries on Ubuntu
          • Issues
        • Prerequisites for the TRIQS Compilation on Mac OS X
          • Disclaimer
          • Installation of the dependencies
      • Installation steps
      • Environment setup
      • Further reading
        • Customizing your installation
          • cmake options
        • Unix environment variables
          • Common environment variables
          • Environment variables for software developement
          • Environment variables affecting OpenMP
        • Python Virtual Environments
          • Usage
          • Compiling a package from source
        • Using the clang compiler
          • Get and install clang on linux
          • Usage
          • libclang
  • Documentation
    • Manual
      • [triqs/atom_diag] Lightweight exact diagonalization solver and tools
        • [atom_diag] Exact diagonalization of an atomic problem
          • Template parameters
          • Member types
          • Member functions
        • [atom_diag_functions] Utility functions for atom_diag
          • triqs::atom_diag::partition_function
          • triqs::atom_diag::atomic_density_matrix
          • triqs::atom_diag::trace_rho_op
          • triqs::atom_diag::act
          • triqs::atom_diag::quantum_number_eigenvalues
          • triqs::atom_diag::quantum_number_eigenvalues_checked
          • triqs::atom_diag::atomic_g_iw
          • triqs::atom_diag::atomic_g_l
          • triqs::atom_diag::atomic_g_lehmann
          • triqs::atom_diag::atomic_g_tau
          • triqs::atom_diag::atomic_g_w
        • Example of use: Python
        • Example of use: C++
      • [triqs/clef] Clef: Compile-time lazy expressions and functions
        • Motivation: a little tour of CLEF
        • Forming CLEF expressions
          • Placeholders
          • Forming an expression
          • Storage of expressions [advanced]
        • Evaluating CLEF expressions
          • Complete evaluation
          • Partial evaluation
        • Automatic assignment of containers
        • Overloading functions and methods for CLEF arguments
          • Overloading functions
          • Overloading operator() and other methods
        • Transform CLEF expressions into functions
          • make_function
          • clef::function
          • Examples
        • More complex examples
          • A lazy sum
      • Manipulations of determinants
        • The det_manip class
          • Parameter & construction
          • Public types
          • Public member functions
          • Synopsis
          • Under the hood …
          • Full documentation/manual/triqs
          • Example
        • How does it work ?
          • Cofactors
          • The Sherman-Morrison formula
          • Addition of a line and a column, or more
          • Removal of a line and a column, or more
          • Change of a column
          • Change of a line
          • Change of a line and a column
      • Green’s functions
        • Concepts
          • Domain
          • PureFunctionOnDomain
          • Mesh
          • MeshPoint
        • Basic notions
          • Types of Green’s functions
          • Fourier and Legendre transforms
          • High-frequency tail
        • c++
          • gf and views
          • Specializations
          • Interaction with CLEF expressions
          • Fourier transforms
          • High-Frequency moments of the Green’s function
          • Concepts
          • Implementation notes
        • py
          • The blocks: matrix-valued Green’s functions
          • BlockGf: The complete Green’s function
          • Fourier and Legendre to Matsubara transforms
          • High-Frequency moments of the Green’s function
          • Tools for GFs
      • [triqs/hilbert_space] Many-body states and Hilbert spaces
        • [fundamental_operator_set] Fundamental operator set
          • Member types
          • Member functions
          • Non Member functions
        • [hilbert_space] Full Hilbert space
          • Member functions
          • Non Member functions
        • [sub_hilbert_space] Hilbert subspace
          • Member functions
          • Non Member functions
        • [state] Many-body state
          • Template parameters
        • [imperative_operator] Imperative operator
          • Template parameters
          • Member functions
        • [autopartition] Automatic partitioning algorithm
          • Template parameters
          • Member types
          • Member functions
          • Non Member functions
        • Example of use
      • [triqs/lattice] Lattice tools
        • Introductory example
        • Reference documentation/manual
          • Bravais Lattice
          • The BravaisLattice and TightBinding classes: definitions and example
          • Density of state and related tools
          • Hilbert Transform
          • Sums over Brillouin zone
      • Tools for Monte Carlo
        • Introduction
          • The Monte Carlo loop
          • C++ variable names
          • Monte Carlo loop and connection with moves and measures
        • Tutorial
          • The C++ code for this problem
          • Initializing the MPI
          • Constructing the Monte Carlo simulation
          • Moves and measures
          • The move
          • The measure
          • Starting the Monte Carlo simulation
          • End of the simulation - gathering results
          • Writing your own Monte Carlo simulation
        • Concepts
          • Introduction & Motivations
          • The Move concept
          • The Measure concept
        • Full documentation/manual/triqs
        • Random number generator
          • Generic use
          • Getting a list of random number generators
          • Accessing the random number generator from the Monte Carlo class
        • Example: the Ising chain in a magnetic field
          • The configuration
          • The move
          • Measure
          • Main program
      • [triqs/operators] Second-quantization operators and many-body Hamiltonians
        • Second-quantization operators
          • Template parameters
          • Construction/factories
          • Overloaded operations
          • Member types
          • Methods
          • Free functions
          • Iteration over monomials
          • Serialization & HDF5
          • Python
        • Hamiltonians
        • U matrix construction
        • Observables
        • Helper functions
        • Coefficient extraction
          • C++
          • Python
      • Plotting protocols
        • Plotting TRIQS objects
          • A thin layer above matplotlib
          • Multiple panels figures
          • Plot protocol [Advanced]
        • Fitting data
          • A simple example
          • Reference
      • Reproducibility, provenance
        • TRIQS code version
        • Saving the script in the data archive
        • From the data to the figures
      • Random number generators
        • Usage
        • Example
        • Complete documentation/manual/triqs
          • random_generator_names_list()
      • [triqs/stat] Statistical Analysis
        • Introduction
        • Processing Correlated Data
        • Averages and Standard Errors
      • [triqs/utility] Utilities: exceptions, tuple-tools, etc.
        • 1. Exceptions
        • 2. Tuple tools
          • 2.1. apply
          • 2.2. for_each
          • 2.3. for_each_zip
          • 2.4. map
          • 2.5. fold
          • 2.6. reverse
          • 2.7. called_on_tuple
        • 3. Python include warnings
      • Notations and documentation conventions
        • Notation
        • Documentation conventions for C++ code
          • add
        • Template parameters
        • Parameters
        • Return value
      • [triqs/h5] The HDF5 format
        • Reference documentation/manual
          • HDFArchive
          • HDFArchiveGroup
          • HDFArchiveInert
          • Hdf-compliant objects
        • Green’s function and HDF5 files
        • HDF5 Archives
        • Writing to an archive
          • Reading from an archive
      • triqs/MPI
        • Introduction
        • MPI documentation/manual/triqs
        • Supported functions and types
        • Basic usage
        • Headers
        • MPI example
      • Cpp2Py: a C++/Python interfacing tool
        • Convertion vs wrapping
          • Wrapping classes from C++ to Python
          • Convertion
        • General Principle
        • Python API of the desc file
          • The module_ class
          • The cfunction class
          • The class_ class
    • C++ API
      • triqs::gfs
        • Type aliases
        • Classes
          • triqs::gfs::gf
          • triqs::gfs::gf_view
          • triqs::gfs::gf_const_view
          • triqs::gfs::impl_tag
          • triqs::gfs::block_gf
        • Functions
          • triqs::gfs::get_mesh
          • triqs::gfs::h5_read_gf_struct
          • triqs::gfs::mpi_reduce
          • triqs::gfs::make_block_gf
          • triqs::gfs::make_block_gf_view
          • triqs::gfs::make_block2_gf
          • triqs::gfs::inverse
          • triqs::gfs::reinterpret_scalar_valued_gf_as_matrix_valued
          • triqs::gfs::make_gf_from_fourier
          • triqs::gfs::make_gf_from_inverse_fourier
          • triqs::gfs::fit_tail
          • triqs::gfs::fit_hermitian_tail
          • triqs::gfs::make_zero_tail
          • triqs::gfs::is_gf_real
          • triqs::gfs::real
          • triqs::gfs::imag
          • triqs::gfs::make_gf_from_real_gf
          • triqs::gfs::positive_freq_view
          • triqs::gfs::is_gf_hermitian
          • triqs::gfs::is_gf_real_in_tau
          • triqs::gfs::make_hermitian
          • triqs::gfs::make_real_in_tau
          • triqs::gfs::density
          • triqs::gfs::make_gf_dlr
          • triqs::gfs::fit_gf_dlr
          • triqs::gfs::make_gf_dlr_imtime
          • triqs::gfs::make_gf_dlr_imfreq
          • triqs::gfs::make_gf_imtime
          • triqs::gfs::make_gf_imfreq
          • triqs::gfs::flatten_2d
          • triqs::gfs::unflatten_2d
          • triqs::gfs::flatten_gf_2d
          • triqs::gfs::unflatten_gf_2d
      • triqs::det_manip
        • Classes
          • triqs::det_manip::det_manip
      • triqs::mc_tools
        • Classes
          • triqs::mc_tools::random_generator
          • triqs::mc_tools::move_set
          • triqs::mc_tools::mc_generic
        • Functions
          • triqs::mc_tools::random_generator_names
      • triqs::hilbert_space
        • Type aliases
        • Classes
          • triqs::hilbert_space::fundamental_operator_set
          • triqs::hilbert_space::hilbert_space
          • triqs::hilbert_space::sub_hilbert_space
          • triqs::hilbert_space::state
          • triqs::hilbert_space::state<HilbertSpace,ScalarType,true>
          • triqs::hilbert_space::state<HilbertSpace,ScalarType,false>
          • triqs::hilbert_space::imperative_operator
          • triqs::hilbert_space::space_partition
        • Functions
          • triqs::hilbert_space::make_zero_state
      • triqs::atom_diag
        • Type aliases
        • Classes
          • triqs::atom_diag::atom_diag
        • Functions
          • triqs::atom_diag::partition_function
          • triqs::atom_diag::atomic_density_matrix
          • triqs::atom_diag::trace_rho_op
          • triqs::atom_diag::act
          • triqs::atom_diag::quantum_number_eigenvalues
          • triqs::atom_diag::quantum_number_eigenvalues_checked
          • triqs::atom_diag::atomic_g_lehmann
          • triqs::atom_diag::atomic_g_tau
          • triqs::atom_diag::atomic_g_iw
          • triqs::atom_diag::atomic_g_l
          • triqs::atom_diag::atomic_g_w
      • triqs::stat
        • Classes
          • triqs::stat::accumulator
          • triqs::stat::histogram
        • Functions
          • triqs::stat::mean
          • triqs::stat::mean_mpi
          • triqs::stat::mean_and_err
          • triqs::stat::mean_and_err_mpi
          • triqs::stat::tau_estimate_from_errors
          • triqs::stat::jackknife
          • triqs::stat::jackknife_mpi
          • triqs::stat::pdf
          • triqs::stat::cdf
      • mpi
        • Classes
          • mpi::environment
          • mpi::communicator
          • mpi::monitor
        • Functions
          • mpi::is_initialized
          • mpi::broadcast
          • mpi::map_C_function
          • mpi::map_add
          • mpi::chunk
      • itertools
        • Classes
          • itertools::range
        • Functions
          • itertools::transform
          • itertools::enumerate
          • itertools::zip
          • itertools::zip_with
          • itertools::product
          • itertools::slice
          • itertools::stride
          • itertools::product_range
          • itertools::chunk_range
          • itertools::foreach
    • Python API
      • triqs.atom_diag
        • triqs.atom_diag.AtomDiag
          • AtomDiag()
        • triqs.atom_diag.atom_diag
          • triqs.atom_diag.atom_diag.act
          • triqs.atom_diag.atom_diag.atomic_density_matrix
          • triqs.atom_diag.atom_diag.atomic_g_iw
          • triqs.atom_diag.atom_diag.atomic_g_l
          • triqs.atom_diag.atom_diag.atomic_g_tau
          • triqs.atom_diag.atom_diag.atomic_g_w
          • triqs.atom_diag.atom_diag.partition_function
          • triqs.atom_diag.atom_diag.quantum_number_eigenvalues
          • triqs.atom_diag.atom_diag.quantum_number_eigenvalues_checked
          • triqs.atom_diag.atom_diag.trace_rho_op
          • triqs.atom_diag.atom_diag.AtomDiagComplex
          • triqs.atom_diag.atom_diag.AtomDiagReal
        • triqs.atom_diag.atom_diag_desc
      • triqs.dos
        • triqs.dos.dos
          • triqs.dos.dos.dos_from_file
          • triqs.dos.dos.DOS
          • triqs.dos.dos.DOSFromFunction
        • triqs.dos.hilbert_transform
          • triqs.dos.hilbert_transform.HilbertTransform
      • triqs.fit
        • triqs.fit.fit
          • triqs.fit.fit.Fit
      • triqs.gf
        • triqs.gf.backwd_compat
          • triqs.gf.backwd_compat.gf_imfreq
          • triqs.gf.backwd_compat.gf_imtime
          • triqs.gf.backwd_compat.gf_legendre
          • triqs.gf.backwd_compat.gf_refreq
          • triqs.gf.backwd_compat.gf_retime
        • triqs.gf.block2_gf
          • triqs.gf.block2_gf.Block2Gf
        • triqs.gf.block_gf
          • triqs.gf.block_gf.call_factory_from_dict
          • triqs.gf.block_gf.fix_gf_struct_type
          • triqs.gf.block_gf.BlockGf
        • triqs.gf.descriptor_base
          • triqs.gf.descriptor_base.convert_scalar_to_const
          • triqs.gf.descriptor_base.is_lazy
          • triqs.gf.descriptor_base.is_scalar
          • triqs.gf.descriptor_base.Base
          • triqs.gf.descriptor_base.BaseBlock
          • triqs.gf.descriptor_base.Const
          • triqs.gf.descriptor_base.Function
          • triqs.gf.descriptor_base.LazyCTX
          • triqs.gf.descriptor_base.Omega_
        • triqs.gf.descriptors
          • triqs.gf.descriptors.semi
          • triqs.gf.descriptors.Flat
          • triqs.gf.descriptors.Fourier
          • triqs.gf.descriptors.LegendreToMatsubara
          • triqs.gf.descriptors.MatsubaraToLegendre
          • triqs.gf.descriptors.OneFermionInTime
          • triqs.gf.descriptors.SemiCircular
          • triqs.gf.descriptors.Wilson
        • triqs.gf.gf
          • triqs.gf.gf.add_method_helper
          • triqs.gf.gf.bckwd
          • triqs.gf.gf.call_factory_from_dict
          • triqs.gf.gf.AddMethod
          • triqs.gf.gf.CallProxyNone
          • triqs.gf.gf.Gf
          • triqs.gf.gf.Idx
        • triqs.gf.gf_factories
          • triqs.gf.gf_factories.fit_gf_dlr
          • triqs.gf.gf_factories.make_gf_dlr
          • triqs.gf.gf_factories.make_gf_dlr_imfreq
          • triqs.gf.gf_factories.make_gf_dlr_imtime
          • triqs.gf.gf_factories.make_gf_from_fourier
          • triqs.gf.gf_factories.make_gf_imfreq
          • triqs.gf.gf_factories.make_gf_imtime
          • triqs.gf.gf_factories.make_hermitian
          • triqs.gf.gf_factories.make_real_in_tau
        • triqs.gf.gf_factories_desc
        • triqs.gf.gf_fnt
          • triqs.gf.gf_fnt.density
          • triqs.gf.gf_fnt.enforce_discontinuity
          • triqs.gf.gf_fnt.fit_hermitian_tail
          • triqs.gf.gf_fnt.fit_hermitian_tail_on_window
          • triqs.gf.gf_fnt.fit_tail
          • triqs.gf.gf_fnt.fit_tail_on_window
          • triqs.gf.gf_fnt.is_gf_hermitian
          • triqs.gf.gf_fnt.is_gf_real_in_tau
          • triqs.gf.gf_fnt.rebinning_tau
          • triqs.gf.gf_fnt.replace_by_tail
          • triqs.gf.gf_fnt.replace_by_tail_in_fit_window
          • triqs.gf.gf_fnt.set_from_fourier
          • triqs.gf.gf_fnt.set_from_imfreq
          • triqs.gf.gf_fnt.set_from_imtime
          • triqs.gf.gf_fnt.set_from_legendre
          • triqs.gf.gf_fnt.set_from_pade
        • triqs.gf.gf_fnt_desc
        • triqs.gf.lazy_expressions
          • triqs.gf.lazy_expressions.all_terminals
          • triqs.gf.lazy_expressions.eval_expr
          • triqs.gf.lazy_expressions.eval_expr_with_context
          • triqs.gf.lazy_expressions.lazy_function
          • triqs.gf.lazy_expressions.make_lazy
          • triqs.gf.lazy_expressions.transform
          • triqs.gf.lazy_expressions.LazyExpr
          • triqs.gf.lazy_expressions.LazyExprTerminal
        • triqs.gf.map_block
        • triqs.gf.matsubara_freq
          • triqs.gf.matsubara_freq.MatsubaraFreq
        • triqs.gf.mesh_point
          • triqs.gf.mesh_point.MeshPoint
          • triqs.gf.mesh_point.MeshValueGenerator
        • triqs.gf.mesh_product
          • triqs.gf.mesh_product.call_factory_from_dict
          • triqs.gf.mesh_product.MeshProduct
        • triqs.gf.meshes
          • triqs.gf.meshes.make_adjoint_mesh
          • triqs.gf.meshes.MeshBrZone
          • triqs.gf.meshes.MeshCycLat
          • triqs.gf.meshes.MeshDLR
          • triqs.gf.meshes.MeshDLRImFreq
          • triqs.gf.meshes.MeshDLRImTime
          • triqs.gf.meshes.MeshImFreq
          • triqs.gf.meshes.MeshImTime
          • triqs.gf.meshes.MeshLegendre
          • triqs.gf.meshes.MeshReFreq
          • triqs.gf.meshes.MeshReTime
        • triqs.gf.meshes_desc
          • triqs.gf.meshes_desc.make_mesh
        • triqs.gf.plot
          • triqs.gf.plot.dispatcher
          • triqs.gf.plot.bz
          • triqs.gf.plot.bz_x_x
          • triqs.gf.plot.one_var
          • triqs.gf.plot.plot_base
          • triqs.gf.plot.select_indices
        • triqs.gf.tools
          • triqs.gf.tools.conjugate
          • triqs.gf.tools.delta
          • triqs.gf.tools.discretize_bath
          • triqs.gf.tools.dyson
          • triqs.gf.tools.fit_legendre
          • triqs.gf.tools.inverse
          • triqs.gf.tools.make_delta
          • triqs.gf.tools.make_zero_tail
          • triqs.gf.tools.read_gf_from_txt
          • triqs.gf.tools.transpose
          • triqs.gf.tools.write_gf_to_txt
        • triqs.gf.wrapped_aux
          • triqs.gf.wrapped_aux.set_from_gf_data_mul_LR
          • triqs.gf.wrapped_aux.CallProxyBrZone_0
          • triqs.gf.wrapped_aux.CallProxyBrZone_1
          • triqs.gf.wrapped_aux.CallProxyBrZone_2
          • triqs.gf.wrapped_aux.CallProxyBrZone_3
          • triqs.gf.wrapped_aux.CallProxyBrZone_4
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_DLR_0
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_DLR_1
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_DLR_2
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_DLR_3
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_DLR_4
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImFreq_0
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImFreq_1
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImFreq_2
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImFreq_3
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImFreq_4
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_0
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_0_R
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_1
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_1_R
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_2
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_2_R
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_3
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_3_R
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_4
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ImTime_4_R
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReFreq_0
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReFreq_1
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReFreq_2
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReFreq_3
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReFreq_4
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReTime_0
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReTime_1
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReTime_2
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReTime_3
          • triqs.gf.wrapped_aux.CallProxyBrZone_x_ReTime_4
          • triqs.gf.wrapped_aux.CallProxyCycLat_0
          • triqs.gf.wrapped_aux.CallProxyCycLat_1
          • triqs.gf.wrapped_aux.CallProxyCycLat_2
          • triqs.gf.wrapped_aux.CallProxyCycLat_3
          • triqs.gf.wrapped_aux.CallProxyCycLat_4
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_DLR_0
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_DLR_1
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_DLR_2
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_DLR_3
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_DLR_4
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImFreq_0
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImFreq_1
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImFreq_2
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImFreq_3
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImFreq_4
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_0
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_0_R
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_1
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_1_R
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_2
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_2_R
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_3
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_3_R
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_4
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ImTime_4_R
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReFreq_0
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReFreq_1
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReFreq_2
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReFreq_3
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReFreq_4
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReTime_0
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReTime_1
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReTime_2
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReTime_3
          • triqs.gf.wrapped_aux.CallProxyCycLat_x_ReTime_4
          • triqs.gf.wrapped_aux.CallProxyDLR_0
          • triqs.gf.wrapped_aux.CallProxyDLR_1
          • triqs.gf.wrapped_aux.CallProxyDLR_2
          • triqs.gf.wrapped_aux.CallProxyDLR_3
          • triqs.gf.wrapped_aux.CallProxyDLR_4
          • triqs.gf.wrapped_aux.CallProxyDLR_x_BrZone_0
          • triqs.gf.wrapped_aux.CallProxyDLR_x_BrZone_1
          • triqs.gf.wrapped_aux.CallProxyDLR_x_BrZone_2
          • triqs.gf.wrapped_aux.CallProxyDLR_x_BrZone_3
          • triqs.gf.wrapped_aux.CallProxyDLR_x_BrZone_4
          • triqs.gf.wrapped_aux.CallProxyDLR_x_CycLat_0
          • triqs.gf.wrapped_aux.CallProxyDLR_x_CycLat_1
          • triqs.gf.wrapped_aux.CallProxyDLR_x_CycLat_2
          • triqs.gf.wrapped_aux.CallProxyDLR_x_CycLat_3
          • triqs.gf.wrapped_aux.CallProxyDLR_x_CycLat_4
          • triqs.gf.wrapped_aux.CallProxyImFreq_0
          • triqs.gf.wrapped_aux.CallProxyImFreq_1
          • triqs.gf.wrapped_aux.CallProxyImFreq_2
          • triqs.gf.wrapped_aux.CallProxyImFreq_3
          • triqs.gf.wrapped_aux.CallProxyImFreq_4
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_BrZone_0
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_BrZone_1
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_BrZone_2
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_BrZone_3
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_BrZone_4
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_CycLat_0
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_CycLat_1
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_CycLat_2
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_CycLat_3
          • triqs.gf.wrapped_aux.CallProxyImFreq_x_CycLat_4
          • triqs.gf.wrapped_aux.CallProxyImTime_0
          • triqs.gf.wrapped_aux.CallProxyImTime_0_R
          • triqs.gf.wrapped_aux.CallProxyImTime_1
          • triqs.gf.wrapped_aux.CallProxyImTime_1_R
          • triqs.gf.wrapped_aux.CallProxyImTime_2
          • triqs.gf.wrapped_aux.CallProxyImTime_2_R
          • triqs.gf.wrapped_aux.CallProxyImTime_3
          • triqs.gf.wrapped_aux.CallProxyImTime_3_R
          • triqs.gf.wrapped_aux.CallProxyImTime_4
          • triqs.gf.wrapped_aux.CallProxyImTime_4_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_0
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_0_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_1
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_1_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_2
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_2_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_3
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_3_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_4
          • triqs.gf.wrapped_aux.CallProxyImTime_x_BrZone_4_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_0
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_0_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_1
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_1_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_2
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_2_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_3
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_3_R
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_4
          • triqs.gf.wrapped_aux.CallProxyImTime_x_CycLat_4_R
          • triqs.gf.wrapped_aux.CallProxyReFreq_0
          • triqs.gf.wrapped_aux.CallProxyReFreq_1
          • triqs.gf.wrapped_aux.CallProxyReFreq_2
          • triqs.gf.wrapped_aux.CallProxyReFreq_3
          • triqs.gf.wrapped_aux.CallProxyReFreq_4
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_BrZone_0
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_BrZone_1
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_BrZone_2
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_BrZone_3
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_BrZone_4
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_CycLat_0
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_CycLat_1
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_CycLat_2
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_CycLat_3
          • triqs.gf.wrapped_aux.CallProxyReFreq_x_CycLat_4
          • triqs.gf.wrapped_aux.CallProxyReTime_0
          • triqs.gf.wrapped_aux.CallProxyReTime_1
          • triqs.gf.wrapped_aux.CallProxyReTime_2
          • triqs.gf.wrapped_aux.CallProxyReTime_3
          • triqs.gf.wrapped_aux.CallProxyReTime_4
          • triqs.gf.wrapped_aux.CallProxyReTime_x_BrZone_0
          • triqs.gf.wrapped_aux.CallProxyReTime_x_BrZone_1
          • triqs.gf.wrapped_aux.CallProxyReTime_x_BrZone_2
          • triqs.gf.wrapped_aux.CallProxyReTime_x_BrZone_3
          • triqs.gf.wrapped_aux.CallProxyReTime_x_BrZone_4
          • triqs.gf.wrapped_aux.CallProxyReTime_x_CycLat_0
          • triqs.gf.wrapped_aux.CallProxyReTime_x_CycLat_1
          • triqs.gf.wrapped_aux.CallProxyReTime_x_CycLat_2
          • triqs.gf.wrapped_aux.CallProxyReTime_x_CycLat_3
          • triqs.gf.wrapped_aux.CallProxyReTime_x_CycLat_4
        • triqs.gf.wrapped_aux_desc
          • triqs.gf.wrapped_aux_desc.all_calls
      • triqs.lattice
        • triqs.lattice.bz_patch
          • triqs.lattice.bz_patch.BZPatch
        • triqs.lattice.lattice_tools
          • triqs.lattice.lattice_tools.dos
          • triqs.lattice.lattice_tools.dos_patch
          • triqs.lattice.lattice_tools.BravaisLattice
          • triqs.lattice.lattice_tools.BrillouinZone
          • triqs.lattice.lattice_tools.TightBinding
        • triqs.lattice.lattice_tools_desc
        • triqs.lattice.point
          • triqs.lattice.point.LatticePoint
        • triqs.lattice.super_lattice
          • triqs.lattice.super_lattice.TBSuperLattice
        • triqs.lattice.tight_binding
          • triqs.lattice.tight_binding.dos
          • triqs.lattice.tight_binding.dos_patch
          • triqs.lattice.tight_binding.TBLattice
        • triqs.lattice.utils
          • triqs.lattice.utils.TB_from_pythTB
          • triqs.lattice.utils.TB_from_wannier90
          • triqs.lattice.utils.TB_to_sympy
          • triqs.lattice.utils.extend_wannier90_to_spin
          • triqs.lattice.utils.k_space_path
          • triqs.lattice.utils.parse_hopping_from_wannier90_hr_dat
          • triqs.lattice.utils.parse_lattice_vectors_from_wannier90_wout
      • triqs.operators
        • triqs.operators.operators
          • triqs.operators.operators.c
          • triqs.operators.operators.c_dag
          • triqs.operators.operators.dagger
          • triqs.operators.operators.is_op_hermitian
          • triqs.operators.operators.n
          • triqs.operators.operators.Operator
        • triqs.operators.operators_desc
        • triqs.operators.util
          • triqs.operators.util.U_matrix
          • triqs.operators.util.extractors
          • triqs.operators.util.extractors_desc
          • triqs.operators.util.hamiltonians
          • triqs.operators.util.observables
          • triqs.operators.util.op_struct
      • triqs.plot
        • triqs.plot.mpl_interface
          • triqs.plot.mpl_interface.oplot
          • triqs.plot.mpl_interface.oploti
          • triqs.plot.mpl_interface.oplotr
          • triqs.plot.mpl_interface.use_amsmath
        • triqs.plot.protocol
          • triqs.plot.protocol.clip_array
          • triqs.plot.protocol.plot_protocol_apply
      • triqs.random_generator
        • triqs.random_generator.RandomGenerator
          • RandomGenerator
          • triqs.random_generator.RandomGenerator.__init__
        • triqs.random_generator.random_generator
          • triqs.random_generator.random_generator.random_generator_names_list
        • triqs.random_generator.random_generator_desc
      • triqs.stat
        • triqs.stat.histogram
          • triqs.stat.histogram.plot
        • triqs.stat.histograms
          • triqs.stat.histograms.cdf
          • triqs.stat.histograms.pdf
          • triqs.stat.histograms.Histogram
        • triqs.stat.histograms_desc
      • triqs.sumk
        • triqs.sumk.sumk_discrete
          • triqs.sumk.sumk_discrete.SumkDiscrete
        • triqs.sumk.sumk_discrete_from_lattice
          • triqs.sumk.sumk_discrete_from_lattice.SumkDiscreteFromLattice
      • triqs.utility
        • triqs.utility.bound_and_bisect
          • triqs.utility.bound_and_bisect.bound_and_bisect
          • triqs.utility.bound_and_bisect.determine_bounds
        • triqs.utility.capture_stdout
        • triqs.utility.comparison_tests
          • triqs.utility.comparison_tests.assert_array_close_to_scalar
          • triqs.utility.comparison_tests.assert_arrays_are_close
          • triqs.utility.comparison_tests.assert_block2_gfs_are_close
          • triqs.utility.comparison_tests.assert_block_gfs_are_close
          • triqs.utility.comparison_tests.assert_gfs_are_close
        • triqs.utility.dichotomy
          • triqs.utility.dichotomy.dichotomy
        • triqs.utility.dist_on_nodes
          • triqs.utility.dist_on_nodes.DistributionOnNodes
          • triqs.utility.dist_on_nodes.DistributionOnNodesOneStack
          • triqs.utility.dist_on_nodes.DistributionOnNodesTest
        • triqs.utility.h5diff
          • triqs.utility.h5diff.compare
          • triqs.utility.h5diff.h5diff
        • triqs.utility.mpi
          • triqs.utility.mpi.check_for_mpi
        • triqs.utility.mpi_mpi4py
          • triqs.utility.mpi_mpi4py.all_reduce
          • triqs.utility.mpi_mpi4py.barrier
          • triqs.utility.mpi_mpi4py.bcast
          • triqs.utility.mpi_mpi4py.is_master_node
          • triqs.utility.mpi_mpi4py.master_gets_host_names
          • triqs.utility.mpi_mpi4py.myprint_err
          • triqs.utility.mpi_mpi4py.myprint_out
          • triqs.utility.mpi_mpi4py.recv
          • triqs.utility.mpi_mpi4py.report
          • triqs.utility.mpi_mpi4py.send
          • triqs.utility.mpi_mpi4py.slice_array
          • triqs.utility.mpi_mpi4py.slice_inf
          • triqs.utility.mpi_mpi4py.slice_sup
        • triqs.utility.mpi_nompi
          • triqs.utility.mpi_nompi.all_reduce
          • triqs.utility.mpi_nompi.barrier
          • triqs.utility.mpi_nompi.bcast
          • triqs.utility.mpi_nompi.is_master_node
          • triqs.utility.mpi_nompi.master_gets_host_names
          • triqs.utility.mpi_nompi.myprint_err
          • triqs.utility.mpi_nompi.myprint_out
          • triqs.utility.mpi_nompi.recv
          • triqs.utility.mpi_nompi.report
          • triqs.utility.mpi_nompi.send
          • triqs.utility.mpi_nompi.slice_array
        • triqs.utility.redirect
          • triqs.utility.redirect.start_redirect
          • triqs.utility.redirect.stop_redirect
          • triqs.utility.redirect.T
  • User guide
    • Why use TRIQS?
      • Dynamical mean-field theory on a Bethe lattice
    • Python Tutorials
      • Basics
        • Introducing python and the ipython notebook
          • Script mode
          • Interactive shell mode
          • The ipython notebook
        • A very short introduction to python
          • Calculating
          • Simple loops / indentation
          • If statements
          • Defining a function
          • Importing modules
          • Lists
          • The numpy library
          • Defining a new class
          • Getting help
        • Matplotlib Examples
          • Goal of this tutorial
          • Inline plots
          • Making the plot prettier
          • Subplots
          • Histograms and text
          • Python-like approach to matplotlib
          • More examples
        • TRIQS Green’s functions
          • Matrix-Valued Green’s functions
          • Block Green’s functions
          • Additional Initialization Descriptors
          • Imaginary-frequency Green’s functions
          • Arithmetic Operations
          • Obtaining the density
          • Fourier transforms
          • Compact meshes for imaginary time / frequency: DLR Green’s function
          • Pade analytical continuation
          • Exercises
        • HDF5 Archives
        • Writing to an archive
          • Reading from an archive
        • Manipulating fermionic operators
          • Fundamental operators
          • Number operator
          • Operations with operators
          • Exact Diagonalization
        • Introduction to multivariable Green’s functions
          • Imports and parameters
          • Constructing and Initializing a Lattice Green’s function
          • Numpy Broadcasting
          • Evaluate the Green function
          • Partial evaluation
          • Defining a Tight-Binding Hamiltonian
      • Model DMFT
        • A first DMFT calculation
          • The iterated perturbation theory
          • Dynamical mean-field theory
          • Bethe lattice DMFT
          • Visualizing the Mott transition
          • Comparison with the literature
        • General reminder: Anderson impurity model and CTHYB solver
        • The TRIQS/CTHYB impurity solver
          • Setting up the impurity solver
          • Visualizing the imaginary time sampled \(G(\tau)\)
          • Visualizing the Matsubara-frequency results
        • Single-orbital Hubbard model
          • Solution 1
          • Solution 2
          • Solution 3
          • Solution 4
          • Solution 5
          • Solution 6
        • Two-orbital Hubbard model
          • Solution 1
          • Solution 2
          • Solution of exercise 3
        • Valence-Bond DMFT solution of the Hubbard model
          • Analyzing the precomputed results
      • Two-particle Response
        • Fermions on the square lattice & perfect nesting
          • Square lattice with nearest-neighbour hopping
          • Non-interacting lattice Green’s function
          • Fermi surface nesting
        • Susceptibility \(\chi_0\) of non-interacting fermions
          • Theory
          • Fast calculation using Fourier transform
          • Goals and questions
          • Compute the susceptibility \(\chi_0(\mathbf{q}, i\omega_n)\)
          • Static susceptibility \(\chi_0(\mathbf{q}, \omega=0)\) and perfect nesting
        • The random phase approximation (RPA)
          • RPA solver
        • Two-particle self consistency (TPSC)
          • Theory
          • Behaviour of \(U_{sp}\) and \(U_{ch}\) vs. \(U\)
        • Finite temperature antiferromagnetism in two dimensional systems
          • Mermin-Wagner theorem
          • TPSC and the Mermin-Wagner theorem
          • Code from previous notebooks
          • \(\chi_0\) calculator for arbitrary \(\beta\)
          • RPA spin structure factor \(S_{RPA}\) as a function of temperature \(T\)
          • TPSC spin structure factor \(S_{TPSC}\) as a function of temperature
          • Questions
          • Remarks
      • Learn more about Python, ipython and the notebook
    • A quick tour in C++
      • Green’s functions
        • Matsubara Green’s functions
          • Creation of a simple Green’s function \(G(i\omega)\)
          • Two-frequency Green’s function \(G(i\omega,i\nu)\)
        • Imaginary-time Green’s functions \(G(\tau)\)
        • Real-time Green’s functions \(G(t)\)
          • Creation of a two real time GF \(G(t,t')\)
          • How to fill a GF with placeholders
          • How to interpolate the GF value at a point of the domain
      • Multidimensional arrays
        • Declaring and printing an array
        • Simple operations
        • HDF5 Archiving
        • Views: ranges and slices
        • Matrices and vectors
        • Defining through a lazy expression
        • Linear algebra
        • Map and fold
      • det_manip: Determinant manipulations for CTQMC
        • Creation of an empty det_manip class
        • Creation of a non empty det_manip class
        • Get information about a det_manip class
        • Add a line and a column
        • Remove a line and a column
        • Add two lines and two columns
        • Remove two lines and two columns
        • Remove/add the one/two last lines and columns
        • Replace one line and column
      • Green’s function and HDF5 files
      • Using TRIQS in your own C++ project
        • Writing you own C++ code with TRIQS
        • A simple C++ project, with its tests and documentation
        • A mixed C++/Python project
        • Conventions for TRIQS applications
          • Source structure
          • Install structure
          • Build structure
  • Applications based on TRIQS
    • Impurity Solvers
      • Hybridization-expansion solver
      • Hubbard I solver
      • Hartree Fock solver
      • PYED - Exact diagonalization for finite quantum systems (external)
      • Interface to the pomerol exact diagonalization solver (external)
      • Interface to the w2dynamics impurity solver
      • Interface to the NRG Ljubljana impurity solver
    • Ab-Initio Tools
      • DFT tools - Toolbox for ab initio calculations of correlated materials
      • solid_dmft - Python wrapper to perform DFT+DMFT calculations using TRIQS
    • Analytic Continuation
      • Maxent
      • Nevanlinna Analytic Continuation
      • SOM - Stochastic Optimization Method for Analytic Continuation (external)
      • Interface to Omegamaxent
    • Other Applications
      • TPRF - The Two-Particle Response Function tool box
      • TRIQS Solver benchmarks
      • App4Triqs Application Skeleton
      • Cpp2Py
  • Version compatibility
    • TRIQS version numbering
    • TRIQS applications version numbering
    • How to determine the version of the installed TRIQS library
  • Changelog
    • Version 3.2.0
      • Porting Script
      • API Changes
      • General
      • Gf
      • Meshes
      • DLR
      • Lattice
      • det_manip
      • mc_generic
      • MPI
      • Fixes
      • doc
      • cmake
      • jenkins
    • Version 3.1.1
      • cmake
      • doc
      • gf
      • Meshes
    • Version 3.1.0
      • Porting Script
      • Deprecate use of string indices for Green functions
      • Change in gf_struct objects
      • Green function meshes (C++)
      • Move multi-array into TRIQS/nda library
      • triqs::stat Rework
      • Bath discretization function
      • Jenkins Sanitizer Checks
      • New website theme
      • TightBinding and TBLattice improvements
      • Require C++20 capable compiler
      • General
      • atom_diag
      • cmake
      • cpp2py
      • doc
      • gf
      • jenkins
      • lattice
      • mc_generic
      • mesh
      • mpi
      • nda
    • Version 3.0.2
      • atom_diag
      • gf
      • cmake
      • Python 3.10
      • c++20
    • Version 3.0.1
      • Issue 819 - Atom Diag
      • General
      • array
      • Gf
      • cmake
      • jenkins
      • doc
    • Version 3.0.0
      • Renamings
      • Dependency Management
      • h5py dependency
      • Removal of deprecated API
      • General
      • atom_diag
      • cmake
      • detmanip
      • doc
      • gf
      • jenkins
      • operators
      • packaging
    • Version 2.2.3
      • General
      • cmake
      • cpp2py
      • gf
      • jenkins
    • Version 2.2.2
      • doc
      • gf
      • cmake
      • General
    • Version 2.2.1
      • doc
      • cmake
      • General
    • Version 2.2.0
      • Make range and itertools functionality standalone
      • Make mpi functionality standalone and change namespace
      • Non-owning views (C++)
      • Dynamic Analyzer Checks (ASAN, UBSAN)
      • No longer install googletest
      • app4triqs
      • arrays
      • cmake
      • doc
      • fourier
      • gf
      • h5
      • itertools
      • jenkins
      • mc_generic
      • mpi
      • lattice
      • operators
      • packaging
      • pytriqs
      • General
    • Version 2.1.1
      • jenkins
      • doc
      • cmake
      • General
    • Version 2.1.0
      • gf
      • array
      • clef
      • BlockGf
      • cmake
      • lapack
      • lattice
      • tail
      • det_manip
      • atom_diag
      • mc_tools
      • doc
      • General
      • pytriqs
      • fourier
    • Version 2.0.0
      • fourier,tail
      • cmake
      • hdf5
      • arrays
      • doc
      • gf/py
      • py
      • General
      • travis
      • gf
      • tail
      • pytriqs
      • pytriqs/gf
      • test
      • tail,fourier
    • Version 1.5
      • API changes
    • Version 1.4
      • Documentation
      • Installation
      • Many-body operators
      • Green’s functions
      • Tests
    • Version 1.3
      • Installation
      • Green functions
      • Many-body operators
      • Monte-Carlo tools
      • Determinant manipulation
      • HDF5
      • c++2py
      • Tests
      • Miscellaneous
    • Version 1.2
      • C++
      • Python
      • Green Functions
      • Version 1.1
      • Version 1.0
      • Python classes
      • Archives
  • Contributing
    • Issues and feature requests
    • Contributing to code and documentation
      • How to make a pull request?
        • Setting up your fork repository
        • Making your pull request
      • How to contribute to documentation?
        • Who should write documentation?
        • Building the documentation
        • Editing the documentation
    • Github discussions
  • About TRIQS
    • Authors & contributors
    • Citation
    • License
    • Disclaimer
    • Logo files
  • Frequently-asked questions
    • Q: How do I write my GF data to text files, e.g. to plot using other plotting tools?
    • Q: How do I save the triqs hash and script for debugging purposes?
TRIQS
  • Documentation
  • <no title>
  • triqs::hilbert_space
  • View page source

triqs::hilbert_space

Type aliases

Classes

fundamental_operator_set  
hilbert_space  
sub_hilbert_space  
state  
state<HilbertSpace,ScalarType,true>  
state<HilbertSpace,ScalarType,false>  
imperative_operator  
space_partition  

Functions

make_zero_state  
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