Magnetism and rotation in relativistic field theory

TL;DR

This paper explores the analogy between magnetism and rotation within relativistic field theory, demonstrating a Landau-like quantization through external potentials, extending nonrelativistic concepts into relativistic regimes.

Contribution

It introduces a relativistic framework for magnetism and rotation analogy, including a novel Landau-like quantization method using energy-dependent potentials.

Findings

Established relativistic analogy between magnetism and rotation.

Derived Landau-like quantization in relativistic context.

Extended nonrelativistic trapping potential concepts to relativistic theory.

Abstract

We investigate the analogy between magnetism and rotation in relativistic theory. In nonrelativistic theory, the exact correspondence between magnetism and rotation is established in the presence of an external trapping potential. Based on this, we analyze relativistic rotation under external trapping potentials. A Landau-like quantization is obtained by considering an energy-dependent potential.