arc.alkali_atom_functions.AlkaliAtom.breitRabi#
- AlkaliAtom.breitRabi(n, l, j, B)[source]#
Returns exact Zeeman energies math:E_z for states \(\vert F,m_f\rangle\) in the \(\ell,j\) manifold via exact diagonalisation of the Zeeman interaction \(\mathcal{H}_z\) and the hyperfine interaction \(\mathcal{H}_\mathrm{hfs}\) given by equations
\(\mathcal{H}_Z=\frac{\mu_B}{\hbar}(g_J J_z+g_I I_z)B_z\)
and
\(\mathcal{H}_\mathrm{hfs}=A_\mathrm{hfs}I\cdot J + B_\mathrm{hfs}\frac{3(I\cdot J)^2+3/2 I\cdot J -I^2J^2}{2I(2I-1)2J(2J-1)}\).
- Parameters
n – principal,orbital, total orbital quantum numbers
l – principal,orbital, total orbital quantum numbers
j – principal,orbital, total orbital quantum numbers
B – Magnetic Field (units T)
- Returns
State energy \(E_z\) in SI units (Hz), state f, state mf
- Return type