Spin-1/2 Particles in Non-Inertial Reference Frames: Low- and High-Energy Approximations

TL;DR

This paper derives Hamiltonians and quantum phases for spin-1/2 particles in non-inertial frames, covering low- and high-energy regimes, revealing known and new effects involving spin, gravity, and electromagnetic fields.

Contribution

It provides a unified derivation of inertial and gravitational effects on spin-1/2 particles in both energy regimes, including novel spin-related phenomena.

Findings

Re-derivation of known acceleration and rotation effects

Introduction of new effects involving spin and fields

High-energy approximation offers a consistent mass treatment

Abstract

Spin-1/2 particles can be used to study inertial and gravitational effects by means of interferometers, particle accelerators, and ultimately quantum systems. These studies require, in general, knowledge of the Hamiltonian and of the inertial and gravitational quantum phases. The procedure followed gives both in the low- and high-energy approximations. The latter affords a more consistent treatment of mass at high energies. The procedure is based on general relativity and on a solution of the Dirac equation that is exact to first-order in the metric deviation. Several previously known acceleration and rotation induced effects are re-derived in a comprehensive, unified way. Several new effects involve spin, electromagnetic and inertial/gravitational fields in different combinations.