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 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.
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