English

Canonical quantization of motion on submanifolds

Mathematical Physics 2011-02-25 v2 math.MP Quantum Physics

Abstract

This is an extended version of the talk given by the Author at the 40th Symposium on Mathematical Physics held in Torun, Poland, June 25-28, 2008. We review the methods of canonical quantization of free particle motion on curved submanifolds considered as a system with second class constraints. The work is based on our previous articles, quant-ph/0508044 and quant-ph/0508111. However, some new results are also presented.

Keywords

Cite

@article{arxiv.0812.3771,
  title  = {Canonical quantization of motion on submanifolds},
  author = {Alexey V. Golovnev},
  journal= {arXiv preprint arXiv:0812.3771},
  year   = {2011}
}

Comments

19 pages; 40th Symposium on Mathematical Physics held in Torun, Poland, June 25-28, 2008; in v.2 some references added

R2 v1 2026-06-21T11:54:04.419Z