arc.alkali_atom_functions.AlkaliAtom.getQuadrupoleMatrixElement#
- AlkaliAtom.getQuadrupoleMatrixElement(n1: int, l1: int, j1: float, n2: int, l2: int, j2: float, s=0.5)[source]#
Radial part of the quadrupole matrix element
Calculates \(\int \mathbf{d}r~R_{n_1,l_1,j_1}(r)\cdot R_{n_1,l_1,j_1}(r) \cdot r^4\). See Quadrupole calculation example snippet .
- Parameters
n1 (int) – principal quantum number of state 1
l1 (int) – orbital angular momentum of state 1
j1 (float) – total angular momentum of state 1
n2 (int) – principal quantum number of state 2
l2 (int) – orbital angular momentum of state 2
j2 (float) – total angular momentum of state 2
s (float) – optional, total spin angular momentum of state. By default 0.5 for Alkali atoms.
- Returns
quadrupole matrix element (\(a_0^2 e\)).
- Return type