Alexey V. Golovnev
Published 2008-12-19, updated 2009-05-19Version 2
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.
Comments: 19 pages; 40th Symposium on Mathematical Physics held in Torun, Poland, June 25-28, 2008; in v.2 some references added
Journal: Rept.Math.Phys.64:59-77,2009
On the Hilbert space dimension of systems with second class constraints
Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective
Canonical quantization of systems with time-dependent constraints
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