Spacetime rotation-induced Landau quantization

TL;DR

This paper explores how spacetime rotation and gravitational effects influence quantum energy levels, revealing additional quantization phenomena and differences between electrons and protons.

Contribution

It provides an analytic solution for energy eigenstates considering non-inertial, gravitational, and electromagnetic effects, highlighting new spacetime-induced quantization effects.

Findings

Spacetime rotation causes additional Landau-like quantization.

Energy levels differ between electrons and protons due to gravitational corrections.

Analytic solutions for quantum states in rotating, gravitational, electromagnetic fields.

Abstract

We investigate non-inertial and gravitational effects on quantum states in electromagnetic fields and present the analytic solution for energy eigenstates for the Schr\"odinger equation including non-inertial, gravitational and electromagnetic effects. We find that in addition to the Landau quantization the rotation of spacetime itself leads to the additional quantization, and that the energy levels for an electron are different from those for a proton at the level of gravitational corrections.