English

Quantization of the Relativistic Particle

High Energy Physics - Theory 2010-04-06 v1

Abstract

We revise the problem of the quantization of relativistic particle, presenting a modified consistent canonical scheme, which allows one not only to include arbitrary backgrounds in the consideration but to get in course of the quantization a consistent relativistic quantum mechanics, which reproduces literally the behavior of the one-particle sector of the corresponding quantum field. At the same time this construction presents a possible solution of the well-known old problem how to construct a consistent quantum mechanics on the base of a relativistic wave equation.

Keywords

Cite

@article{arxiv.hep-th/0005249,
  title  = {Quantization of the Relativistic Particle},
  author = {S. P. Gavrilov and D. M. Gitman},
  journal= {arXiv preprint arXiv:hep-th/0005249},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-07-22T14:58:15.828Z