Canonical quantization of motion on submanifolds

Alexey V. Golovnev

Canonical quantization of motion on submanifolds

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arxiv 0812.3771 v2 pith:FR3FEQS4 submitted 2008-12-19 math-ph math.MPquant-ph

Alexey V. Golovnev This is my paper · ORCID

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keywords canonicalmotionquant-phquantizationsubmanifoldsarticlesauthorclass

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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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