arc.alkali_atom_functions.AlkaliAtom.getSphericalMatrixElementHFStoFS#
- AlkaliAtom.getSphericalMatrixElementHFStoFS(j1, f1, mf1, j2, mj2, q)[source]#
Spherical matrix element for transition from hyperfine resolved state to unresolved fine-structure state \(\langle f,m_f \vert\mu_q\vert j',m_j'\rangle\) in units of \(\langle j\vert\vert\mu\vert\vert j'\rangle\)
- Parameters
j1 – total orbital, fine basis (total atomic) angular momentum, and projection of total angular momentum for state 1
f1 – total orbital, fine basis (total atomic) angular momentum, and projection of total angular momentum for state 1
mf1 – total orbital, fine basis (total atomic) angular momentum, and projection of total angular momentum for state 1
j2 – total orbital, fine basis (total atomic) angular momentum, and projection of total orbital angular momentum for state 2
mj2 – total orbital, fine basis (total atomic) angular momentum, and projection of total orbital angular momentum for state 2
q (int) – specifies transition that the driving field couples to, +1, 0 or -1 corresponding to driving \(\sigma^+\), \(\pi\) and \(\sigma^-\) transitions respectively.
s (float) – optional, total spin angular momentum of state. By default 0.5 for Alkali atoms.
- Returns
spherical dipole matrix element( \(\langle j\vert\vert\mu\vert\vert j'\rangle\))
- Return type