# 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

float