triqs.operators.util.U_matrix

Functions to construct Coulomb tensors.

Functions

U_J_to_radial_integrals(l, U_int, J_hund)	Compute the radial Slater integrals \(F_k\) from U_int and J_hund.
U_matrix_kanamori(n_orb, U_int, J_hund[, ...])	Calculate the Kanamori interaction matrix (or full four-index tensor).
U_matrix_slater(l[, radial_integrals, ...])	Calculate the full four-index Slater interaction tensor.
angular_matrix_element(l, k, m1, m2, m3, m4)	Calculate the angular Racah-Wigner matrix element.
clebsch_gordan(jm1, jm2, jm3)	Calculate the Clebsch-Gordan coefficient.
cubic_names(l)	Get the names of the cubic harmonics for the given shell.
eg_submatrix(U[, convention])	Extract the eg submatrix of the full d-manifold two- or four-index U matrix.
radial_integrals_to_U_J(l, F)	Compute U_int and J_hund from the radial Slater integrals.
reduce_4index_to_2index(U_4index)	Reduce the four-index U matrix to two-index matrices for parallel and anti-parallel spins.
spherical_to_cubic(l[, convention])	Get the spherical-to-cubic harmonics transformation matrix.
subarray(a, idxlist[, n])	Extract a subarray from a matrix-like object.
t2g_submatrix(U[, convention])	Extract the t2g submatrix of the full d-manifold two- or four-index U matrix.
three_j_symbol(jm1, jm2, jm3)	Calculate the Wigner 3-j symbol.
transform_U_matrix(U_matrix, T)	Transform a four-index interaction matrix into another basis.