arc.alkali_atom_functions.AlkaliAtom.getHFSEnergyShift#

AlkaliAtom.getHFSEnergyShift(j: float, f: float, A: float, B: float = 0, s: float = 0.5) → float[source]#

Energy shift of HFS from centre of mass \(\Delta E_\mathrm{hfs}\)

\(\Delta E_\mathrm{hfs} = \frac{A}{2}K+B\frac{\frac{3}{2}K(K+1)-2I(I+1)J(J+1)}{2I(2I-1)2J(2J-1)}\)

where \(K=F(F+1)-I(I+1)-J(J+1)\)

Parameters:

  • j (float) – total orbital angular momentum

  • f (float) – total atomic angular momentum

  • A (float) – HFS magnetic dipole constant

  • B (float) – HFS magnetic quadrupole constant

  • s (float) – optional, total spin angular momentum of state. By default 0.5 for Alkali atoms.

Returns:

Energy shift ( \(\Delta E_\mathrm{hfs}\))

Return type:

float