triqs.atom_diag.atom_diag.atomic_g_w

triqs.atom_diag.atom_diag.atomic_g_w()

Dispatched C++ function(s).

[1] (atom: AtomDiagReal,
     beta: float,
     gf_struct: [tuple[str, int]],
     energy_window: tuple[float, float],
     n_w: int,
     broadening: float = 0,
     excluded_states: [tuple[int, int]] = <unprintable>)
  -> BlockGf[MeshReFreq, 2]

[2] (atom: AtomDiagComplex,
     beta: float,
     gf_struct: [tuple[str, int]],
     energy_window: tuple[float, float],
     n_w: int,
     broadening: float = 0,
     excluded_states: [tuple[int, int]] = <unprintable>)
  -> BlockGf[MeshReFreq, 2]

Build the atomic retarded Green’s function on a real-frequency mesh directly from a solved diagonalization problem.

Internally builds the Lehmann representation, constructs a real-frequency mesh from the requested energy window and number of frequency points, and evaluates

\[G(\omega) = \sum_p \frac{r_p}{\omega + i\eta - p} \; ,\]

with the broadening \(\eta\).

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.

energy_windowtuple[float, float]

Energy window \((\omega_{\text{min}}, \omega_{\text{max}})\) of the real-frequency mesh.

n_wint

Number of frequency points.

broadeningfloat

Lorentzian broadening \(\eta\) of the spectrum (small positive imaginary-frequency shift).

excluded_states[tuple[int, int]]

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

Returns:

BlockGf[MeshReFreq, 2]

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