[GfReTime] Retarded Green’s function in real time

Reference

class triqs.gf.GfReTime(**kw)[source]

mesh: MeshReTime, optional: The mesh of the Green function If not present, it will be constructed from the parameters beta, indices, [n_points], [statistic]
data: numpy.array, optional: The data of the Gf. Must be of dimension mesh.rank + target_rank. Incompatible with target_shape
target_shape: list of int, optional: Shape of the target space. Incompatible with data
is_real: bool: Is the Green function real valued ? If true, and target_shape is set, the data will be real. No effect with the parameter data.
indices: GfIndices or list of str or list of list of str, Optional: Optional string indices for the target space, to allow e.g g[‘eg’, ‘eg’] list of list of str: the list of indices for each dimension. list of str: all indices are assumed to be the same for all dimensions.
name: str: The name of the Green function. For plotting.

conjugate()

Conjugate of the Greens function.

Returns:	G – Conjugate of the Greens function.
Return type:	Gf (copy)

set_from_fourier(*args, **kw)

Fills self with the Fourier transform of g_in

Signature(gf_view<imtime,scalar_valued> g_out, gf_view<imfreq,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imtime,scalar_valued> g_out, block_gf_view<imfreq,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imtime,scalar_valued> g_out, block2_gf_view<imfreq,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imtime,scalar_valued> g_out, gf_view<imfreq,scalar_valued> g_in, array_const_view<dcomplex,1+scalar_valued::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<imfreq,scalar_valued> g_out, gf_view<imtime,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imfreq,scalar_valued> g_out, gf_view<imtime,typename scalar_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imfreq,scalar_valued> g_out, block_gf_view<imtime,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imfreq,scalar_valued> g_out, block_gf_view<imtime,typename scalar_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imfreq,scalar_valued> g_out, block2_gf_view<imtime,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imfreq,scalar_valued> g_out, block2_gf_view<imtime,typename scalar_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imfreq,scalar_valued> g_out, gf_view<imtime,scalar_valued> g_in, array_const_view<dcomplex,1+scalar_valued::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<retime,scalar_valued> g_out, gf_view<refreq,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<retime,scalar_valued> g_out, block_gf_view<refreq,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<retime,scalar_valued> g_out, block2_gf_view<refreq,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<retime,scalar_valued> g_out, gf_view<refreq,scalar_valued> g_in, array_const_view<dcomplex,1+scalar_valued::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<refreq,scalar_valued> g_out, gf_view<retime,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<refreq,scalar_valued> g_out, gf_view<retime,typename scalar_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<refreq,scalar_valued> g_out, block_gf_view<retime,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<refreq,scalar_valued> g_out, block_gf_view<retime,typename scalar_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<refreq,scalar_valued> g_out, block2_gf_view<retime,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<refreq,scalar_valued> g_out, block2_gf_view<retime,typename scalar_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<refreq,scalar_valued> g_out, gf_view<retime,scalar_valued> g_in, array_const_view<dcomplex,1+scalar_valued::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<cyclat,scalar_valued> g_out, gf_view<brzone,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<cyclat,scalar_valued> g_out, block_gf_view<brzone,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<cyclat,scalar_valued> g_out, block2_gf_view<brzone,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<brzone,scalar_valued> g_out, gf_view<cyclat,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<brzone,scalar_valued> g_out, block_gf_view<cyclat,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<brzone,scalar_valued> g_out, block2_gf_view<cyclat,scalar_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imtime,matrix_valued> g_out, gf_view<imfreq,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imtime,matrix_valued> g_out, block_gf_view<imfreq,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imtime,matrix_valued> g_out, block2_gf_view<imfreq,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imtime,matrix_valued> g_out, gf_view<imfreq,matrix_valued> g_in, array_const_view<dcomplex,1+matrix_valued::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<imfreq,matrix_valued> g_out, gf_view<imtime,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imfreq,matrix_valued> g_out, gf_view<imtime,typename matrix_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imfreq,matrix_valued> g_out, block_gf_view<imtime,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imfreq,matrix_valued> g_out, block_gf_view<imtime,typename matrix_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imfreq,matrix_valued> g_out, block2_gf_view<imtime,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imfreq,matrix_valued> g_out, block2_gf_view<imtime,typename matrix_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imfreq,matrix_valued> g_out, gf_view<imtime,matrix_valued> g_in, array_const_view<dcomplex,1+matrix_valued::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<retime,matrix_valued> g_out, gf_view<refreq,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<retime,matrix_valued> g_out, block_gf_view<refreq,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<retime,matrix_valued> g_out, block2_gf_view<refreq,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<retime,matrix_valued> g_out, gf_view<refreq,matrix_valued> g_in, array_const_view<dcomplex,1+matrix_valued::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<refreq,matrix_valued> g_out, gf_view<retime,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<refreq,matrix_valued> g_out, gf_view<retime,typename matrix_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<refreq,matrix_valued> g_out, block_gf_view<retime,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<refreq,matrix_valued> g_out, block_gf_view<retime,typename matrix_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<refreq,matrix_valued> g_out, block2_gf_view<retime,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<refreq,matrix_valued> g_out, block2_gf_view<retime,typename matrix_valued::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<refreq,matrix_valued> g_out, gf_view<retime,matrix_valued> g_in, array_const_view<dcomplex,1+matrix_valued::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<cyclat,matrix_valued> g_out, gf_view<brzone,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<cyclat,matrix_valued> g_out, block_gf_view<brzone,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<cyclat,matrix_valued> g_out, block2_gf_view<brzone,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<brzone,matrix_valued> g_out, gf_view<cyclat,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<brzone,matrix_valued> g_out, block_gf_view<cyclat,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<brzone,matrix_valued> g_out, block2_gf_view<cyclat,matrix_valued> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imtime,tensor_valued<3>> g_out, gf_view<imfreq,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imtime,tensor_valued<3>> g_out, block_gf_view<imfreq,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imtime,tensor_valued<3>> g_out, block2_gf_view<imfreq,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imtime,tensor_valued<3>> g_out, gf_view<imfreq,tensor_valued<3>> g_in, array_const_view<dcomplex,1+tensor_valued<3>::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<imfreq,tensor_valued<3>> g_out, gf_view<imtime,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imfreq,tensor_valued<3>> g_out, gf_view<imtime,typename tensor_valued<3>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imfreq,tensor_valued<3>> g_out, block_gf_view<imtime,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imfreq,tensor_valued<3>> g_out, block_gf_view<imtime,typename tensor_valued<3>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imfreq,tensor_valued<3>> g_out, block2_gf_view<imtime,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imfreq,tensor_valued<3>> g_out, block2_gf_view<imtime,typename tensor_valued<3>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imfreq,tensor_valued<3>> g_out, gf_view<imtime,tensor_valued<3>> g_in, array_const_view<dcomplex,1+tensor_valued<3>::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<retime,tensor_valued<3>> g_out, gf_view<refreq,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<retime,tensor_valued<3>> g_out, block_gf_view<refreq,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<retime,tensor_valued<3>> g_out, block2_gf_view<refreq,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<retime,tensor_valued<3>> g_out, gf_view<refreq,tensor_valued<3>> g_in, array_const_view<dcomplex,1+tensor_valued<3>::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<refreq,tensor_valued<3>> g_out, gf_view<retime,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<refreq,tensor_valued<3>> g_out, gf_view<retime,typename tensor_valued<3>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<refreq,tensor_valued<3>> g_out, block_gf_view<retime,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<refreq,tensor_valued<3>> g_out, block_gf_view<retime,typename tensor_valued<3>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<refreq,tensor_valued<3>> g_out, block2_gf_view<retime,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<refreq,tensor_valued<3>> g_out, block2_gf_view<retime,typename tensor_valued<3>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<refreq,tensor_valued<3>> g_out, gf_view<retime,tensor_valued<3>> g_in, array_const_view<dcomplex,1+tensor_valued<3>::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<cyclat,tensor_valued<3>> g_out, gf_view<brzone,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<cyclat,tensor_valued<3>> g_out, block_gf_view<brzone,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<cyclat,tensor_valued<3>> g_out, block2_gf_view<brzone,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<brzone,tensor_valued<3>> g_out, gf_view<cyclat,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<brzone,tensor_valued<3>> g_out, block_gf_view<cyclat,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<brzone,tensor_valued<3>> g_out, block2_gf_view<cyclat,tensor_valued<3>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imtime,tensor_valued<4>> g_out, gf_view<imfreq,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imtime,tensor_valued<4>> g_out, block_gf_view<imfreq,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imtime,tensor_valued<4>> g_out, block2_gf_view<imfreq,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imtime,tensor_valued<4>> g_out, gf_view<imfreq,tensor_valued<4>> g_in, array_const_view<dcomplex,1+tensor_valued<4>::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<imfreq,tensor_valued<4>> g_out, gf_view<imtime,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imfreq,tensor_valued<4>> g_out, gf_view<imtime,typename tensor_valued<4>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imfreq,tensor_valued<4>> g_out, block_gf_view<imtime,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<imfreq,tensor_valued<4>> g_out, block_gf_view<imtime,typename tensor_valued<4>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imfreq,tensor_valued<4>> g_out, block2_gf_view<imtime,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<imfreq,tensor_valued<4>> g_out, block2_gf_view<imtime,typename tensor_valued<4>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<imfreq,tensor_valued<4>> g_out, gf_view<imtime,tensor_valued<4>> g_in, array_const_view<dcomplex,1+tensor_valued<4>::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<retime,tensor_valued<4>> g_out, gf_view<refreq,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<retime,tensor_valued<4>> g_out, block_gf_view<refreq,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<retime,tensor_valued<4>> g_out, block2_gf_view<refreq,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<retime,tensor_valued<4>> g_out, gf_view<refreq,tensor_valued<4>> g_in, array_const_view<dcomplex,1+tensor_valued<4>::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<refreq,tensor_valued<4>> g_out, gf_view<retime,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<refreq,tensor_valued<4>> g_out, gf_view<retime,typename tensor_valued<4>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<refreq,tensor_valued<4>> g_out, block_gf_view<retime,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<refreq,tensor_valued<4>> g_out, block_gf_view<retime,typename tensor_valued<4>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<refreq,tensor_valued<4>> g_out, block2_gf_view<retime,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<refreq,tensor_valued<4>> g_out, block2_gf_view<retime,typename tensor_valued<4>::real_t> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<refreq,tensor_valued<4>> g_out, gf_view<retime,tensor_valued<4>> g_in, array_const_view<dcomplex,1+tensor_valued<4>::rank> known_moments) -> None: Fills self with the Fourier transform of g_in with known high-frequency moments
Signature(gf_view<cyclat,tensor_valued<4>> g_out, gf_view<brzone,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<cyclat,tensor_valued<4>> g_out, block_gf_view<brzone,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<cyclat,tensor_valued<4>> g_out, block2_gf_view<brzone,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(gf_view<brzone,tensor_valued<4>> g_out, gf_view<cyclat,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block_gf_view<brzone,tensor_valued<4>> g_out, block_gf_view<cyclat,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in
Signature(block2_gf_view<brzone,tensor_valued<4>> g_out, block2_gf_view<cyclat,tensor_valued<4>> g_in) -> None: Fills self with the Fourier transform of g_in

transpose()

Take the transpose of a matrix valued Greens function.

Returns:	G – The transpose of the Greens function.
Return type:	Gf (copy)

Notes

Only implemented for single mesh matrix valued Greens functions.

Warning

Arguments of __init__() must be documented.

HDF5 data scheme

The GfReTime (Format = “GfReTime”) is decomposed in the following objects:

Name	Type	Meaning
Mesh	MeshGf	The mesh
Data	3d numpy of complex	Data[n,i1,i2] is the element of the Green function where: n is the index of the time slice i1, i2 are the indices
IndicesL,IndicesR	string	The Python repr of the indices, e.g. (1,2), or (1,) repr(this_string) reproduces the indices
Name	string	Name of the Green function block
Note	string	Note

Example

from math import pi
from triqs.gf import *

gw = GfReFreq(indices = [1], window = (-5, 5), n_points = 1001, name = "egBlock")
gw << SemiCircular(2.0)

gt = GfReTime(indices = [1], mesh = make_adjoint_mesh(gw.mesh), name = "egBlock")
gt << Fourier(gw)

from triqs.plot.mpl_interface import oplot
oplot(gt.imag, '-o')

(Source code, png, hires.png, pdf)

../../../../../../_images/green_retime.png