triqs.atom_diag.atom_diag.atomic_g_tau

triqs.atom_diag.atom_diag.atomic_g_tau()

Dispatched C++ function(s).

[1] (atom: AtomDiagReal,
     beta: float,
     gf_struct: [tuple[str, int]],
     n_tau: int,
     excluded_states: [tuple[int, int]] = <unprintable>)
  -> BlockGf[MeshImTime, 2]

[2] (atom: AtomDiagComplex,
     beta: float,
     gf_struct: [tuple[str, int]],
     n_tau: int,
     excluded_states: [tuple[int, int]] = <unprintable>)
  -> BlockGf[MeshImTime, 2]

Build the atomic imaginary-time Green’s function directly from a solved diagonalization problem.

Internally builds the Lehmann representation and evaluates it on the requested mesh,

\[G(\tau) = \sum_p r_p \, \frac{-e^{-\tau p}}{1 + e^{-\beta p}}, \quad \tau \in [0, \beta].\]

Parameters:

atomAtomDiagReal, AtomDiagComplex

Solved diagonalization problem.

betafloat

Inverse temperature \(\beta > 0\).

gf_struct[tuple[str, int]]

Block structure of the Green’s function: block name -> list of inner indices.

n_tauint

Number of imaginary-time points.

excluded_states[tuple[int, int]]

Eigenstates to exclude from the Lehmann sum, as \((B, i)\) pairs.

Returns:

BlockGf[MeshImTime, 2]

Atomic Green’s function \(G_{ab}(\tau)\).