English

Spacetime rotation-induced Landau quantization

General Relativity and Quantum Cosmology 2012-03-20 v1 High Energy Astrophysical Phenomena Superconductivity Quantum Physics

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.

Keywords

Cite

@article{arxiv.1201.5188,
  title  = {Spacetime rotation-induced Landau quantization},
  author = {Kohkichi Konno and Rohta Takahashi},
  journal= {arXiv preprint arXiv:1201.5188},
  year   = {2012}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-21T20:09:23.268Z