English

Riemann surface and quantization

Quantum Physics 2017-03-08 v1

Abstract

This paper proposes an approach of the unified consideration of classical and quantum mechanics from the standpoint of the complex analysis effects. It turns out that quantization can be interpreted in terms of the Riemann surface corresponding to the multivalent LnΨ\operatorname{Ln}\Psi function. A visual interpretation of "trajectories" of the quantum system and of the Feynman's path integral is presented. A magnetic dipole having a magnetic charge that satisfies the Dirac quantization rule was obtained.

Keywords

Cite

@article{arxiv.1606.02013,
  title  = {Riemann surface and quantization},
  author = {E. E. Perepelkin and B. I Sadovnikov and N. G. Inozemtseva},
  journal= {arXiv preprint arXiv:1606.02013},
  year   = {2017}
}

Comments

32 pages, 7 figures

R2 v1 2026-06-22T14:19:15.074Z