Hamiltonian’s functions

All interactions present in the EPR hamiltonian are described with matricial functions. Here are their definitions and the auxiliary functions for their construction.

Interaction’s functions

Name	Description
epraya.Hze	Function for the Zeeman interaction.
epraya.Nhze	Function for the nuclear Zeeman interaction.
epraya.Hfi	Function for the hiperfine interaction.
epraya.Qii	Function for the nuclear quadrupolar interaction.
epraya.Iee	Function for the electron-electron interaction.
epraya.Lorbit	Function for the spin orbit interaction.
epraya.StevensO	Function for the expanded Stevens operators.

Auxiliary functions

Name	Description
epraya.Kronecker	Function for the Kronecker delta.
epraya.Pauli	Calculates the Pauli matrices for the spin system.
epraya.chaframe	Rotates the hamiltonian parameters to the right reference frame using the Euler angles.
epraya.Rotationmat	Creates the rotation matrix for the Lab to sample frame transformation.
epraya.Rotmatrix	Creates the rotation matrix using the Euler angles.
epraya.Convtarray	Makes sure hamiltonian parameters have the right dimensions.
epraya.Msmi	Finds the quantum numbers of the operators and the possibles energy levels transitions.
epraya.Assingstatestobasis	Relates the eigenvectors of the hamiltonian in the basis of s and i with it’s quantum numbers.
epraya.PMsmi	Determinates the quantum numbers for the spin, nuclear spin and angular momentum.
epraya.MMsmi	Determinates the quantum numbers of the operators and classify the transitions between energy levels for multisystems.