2008/12/31 by Alexey Golovnev, Alexey V. Golovnev
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #advanced mathematical theories #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1016/s0034-4877(09)90020-9
published as Rept.Math.Phys.64:59-77,2009 · 19 pages; 40th Symposium on Mathematical Physics held in Torun, Poland, June 25-28, 2008; in v.2 some references added
arxiv created 2009/05/19 · openalex publication_date 2009/08/01 · arxiv updated 2011/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.