Neutrino motion and spin oscillations in magnetic field and matter currents

TL;DR

This paper reviews neutrino oscillations influenced by magnetic fields and matter currents, introduces a new spin operator, and derives exact wave functions and energy spectra for ultra-relativistic neutrinos in moving media.

Contribution

It presents a novel spin operator that commutes with the Hamiltonian and provides exact solutions for neutrino behavior in external magnetic fields and matter currents.

Findings

Introduction of a new spin operator commuting with the Hamiltonian

Derivation of exact wave functions for neutrinos in external fields

Analysis of neutrino energy spectrum in moving media

Abstract

A brief review of a neutrino oscillations effect in an external magnetic field and matter currents is given. An ultra-relativistic neutrino propagation in moving external media is investigated. We have found a new spin operator which commutes with the corresponding Hamiltonian, exact wave functions and energy spectrum are obtained.