Canonical quantization of motion on submanifolds

Details Canonical quantization of motion on submanifolds Canonical quantization of motion on submanifolds

2008-12-19

arxiv.org/abs/0812.3771v2

Rept.Math.Phys.64:59-77,2009

Physics

Mathematical Physics

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

Scientific paper

10.1016/S0034-4877(09)90020-9

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.

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