qspec.hyper_zeeman_ij  (  mi0 ,  mj0 ,  mi1 ,  mj1 ,  i ,  j ,  hyper_const = 0.0 ,  gi = 0.0 ,  gj = 0.0 ,  b_field = 0.0 ,  as_freq = True  )[source]

The matrix element $$ \langle m_{i, 0} m_{j, 0}| H_\mathrm{hfs} + H_\mathrm{Zeeman} |m_{i, 1} m_{j, 1}\rangle, $$, with the Hamiltonian $$ H = \sum\limits_{k=1}^{3} \left[\mathbf{T}_I^{(k)}\otimes\mathbf{T}_J^{(k)}\right]^{(0)} - \vec{\mu}_F\cdot\vec{\mathcal{B}}. $$

Parameters:

mi0quant_like

The first magnetic quantum number $m_{i, 0}$ of the nuclear spin $I$.

mj0quant_like

The first magnetic quantum number $m_{j, 0}$ of the total electronic angular momentum $J$.

mi1quant_like

The second magnetic quantum number $m_{i, 1}$ of the nuclear spin $I$.

mj1quant_like

The second magnetic quantum number $m_{j, 1}$ of the total electronic angular momentum $J$.

iquant_like

The nuclear spin quantum number $I$.

jquant_like

The electronic total angular momentum quantum number $J$.

hyper_constarray_like

The hyperfine structure constants $A = \mu_I \mathcal{B}_J / (IJ)$, $B = eQ_I (\partial^2 V_J / \partial z^2)$ and $C = \Omega_I T_J^{(3)}$ of the magnetic dipole, electric quadrupole and magnetic octupole order, respectively. If a scalar is given, only the $A$ constant is used (MHz if as_freq else eV).

giarray_like

The nuclear g-factor $g_I$ or the gyromagnetic ratio $\gamma_I$ if g_n_as_gyro == True.

gjarray_like

The electronic g-factor $g_J$.

b_fieldarray_like

The B-field $\mathcal{B}$ (T).

as_freqbool

The matrix element can be returned in energy (False, eV) or frequency units (True, MHz). The default is True

Returns:

h_ijndarray

One matrix element of the hyperfine-structure + Zeeman-effect hamiltonian.