.. _operators:

====================================
Available Operators
====================================

Identity
-------------------------
:class:`~py4mulas.operators.Identity`

Velocity
-------------------------
:class:`~py4mulas.operators.Velocity`

HamDiff
-------------------------
:class:`~py4mulas.operators.HamDiff`

Spin Density
-------------------------
:class:`~py4mulas.operators.SpinDensity`

Spin Current
-------------------------
:class:`~py4mulas.operators.SpinCurrent`

Orbital Density
-------------------------
:class:`~py4mulas.operators.OrbitalDensity`

Orbital Current
-------------------------
:class:`~py4mulas.operators.OrbitalCurrent`

Quadripole Density
-------------------------
:class:`~py4mulas.operators.QuadripoleDensity`

:math:`Q_{ab}=\{L_a,L_b\}`
with :math:`L_a` being the orbital operator polarized along :math:`a`

Quadripole Current
-------------------------
:class:`~py4mulas.operators.QuadripoleCurrent`

:math:`\frac{1}{2}\{v, Q_{ab}\}`

Magnetic Octupole Density
-------------------------
:class:`~py4mulas.operators.MagneticOctupoleDensity`


Defined as 
:math:`O_{ab}^c=\{L_a, L_b\} S_c`.

Magnetic Octupole Current
--------------------------
:class:`~py4mulas.operators.MagneticOctupoleCurrent`
:math:`\frac{1}{2}\{v, O_{ab}^c\}`