Dirac particle in gravitation field

TL;DR

This paper investigates the behavior of a Dirac particle in a Kerr gravitational field, demonstrating that its wave function evolution is governed by a Hermitian Hamiltonian when using a specific reference frame.

Contribution

It proves that the Dirac particle's wave function evolution in Kerr spacetime is described by a Hermitian Hamiltonian in a concomitant reference frame, clarifying quantum behavior in curved spacetime.

Findings

Wave function evolution is governed by a Hermitian Hamiltonian.

The result applies specifically to the Kerr gravitational field.

Use of a concomitant reference frame is essential for the Hermitian property.

Abstract

Being considered is the motion of Dirac particle in gravitational field, described by Kerr solution. It is proved, that evolution of the wave function is determined by Hermitian Hamiltonian, if the concomitant reference frame is involved.