Quantum states in rotating electromagnetic fields

TL;DR

This paper introduces a new class of exact solutions to the Pauli and Dirac equations in rotating electromagnetic fields, using coordinate transformations, with potential for experimental validation.

Contribution

It presents novel exact solutions for quantum equations in rotating fields, including non-Galilean transformations, expanding the understanding of quantum states in such environments.

Findings

Solutions are valid for arbitrary parameters.

Solutions can be tested experimentally.

Includes both Galilean and non-Galilean transformations.

Abstract

We describe a new class of exact square integrable solutions of the Pauli and Dirac equation in rotating electromagnetic fields. Solutions obtained by putting equations in the stationary form with help of a coordinate transformation corresponding to the transition into a rotating frame. The transformation is assumed to be Galilean one however a non-Galilean transformation is of particular interest for such solutions. Obtained solutions, especially of Dirac's equation, are valid for arbitrary values of parameters and may be tested experimentally.