spin_like_matrix_element

ryd_numerov.angular.spin_like_matrix_element(x1, x2, kappa)

Calculate the reduced spin-like matrix element $(x2||hat{x}_{10}||x1)$ for a spin-like operator.

The matrix elements of the spin-like operators $x in {l, s}$ are given by

\[(x2||\hat{x}_{10}||x1) = \delta_{x2, x1} \sqrt{x1 (x1 + 1) (2 * x1 + 1)}\]

Parameters:

• x1 (float) – The spin-like quantum number of the initial state.

• x2 (float) – The spin-like quantum number of the final state.

• kappa (int) – The quantum number $kappa$ of the spin-like operator.

Return type:

float

Returns:

The reduced matrix element $(x2||hat{x}_{10}||x1)$.