On the problem of relativistic particles motion in strong magnetic field and dense matter

TL;DR

This paper investigates the quantum behavior of electrons in strong magnetic fields within dense media, deriving exact solutions relevant for astrophysical phenomena like neutron stars.

Contribution

It provides new exact solutions for electron motion in magnetic fields considering dense matter, with implications for astrophysics.

Findings

Electron energies are quantized in a nonmoving medium with a uniform magnetic field.

Derived exact solutions for electron eigenstates in rotating neutron star environments.

Discussed the potential astrophysical applications of these quantum solutions.

Abstract

We consider a problem of electron motion in different media and magnetic field. It is shown that in case of nonmoving medium and constant homogenious magnetic field the electron energies are quantized. We also discuss the general problem of eigenvectors and eigenvalues of a given class of Hamiltonians. We examine obtained exact solutions for the particular case of the electron motion in a rotating neutron star with account for matter and magnetic field effects. We argue that all of these considerations can be usefull for astrophysical applications.