On quantization of systems with second class constraints

A. G. Nuramatov; L. V. Prokhorov

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On quantization of systems with second class constraints

A. G. Nuramatov·L. V. Prokhorov

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Abstract

It is shown that quantization of the dynamical systems with second class constraints actually can be reduced to quantization of the systems with first class constraints. The motion of the non-relativistic particle along the plane curve and on a surface is considered. The results coincide with those of the "thin layer method". Influence of the non-physical variables on the physical sector is demonstrated.

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A. G. Nuramatov, L. V. Prokhorov. 2005-07-04. On quantization of systems with second class constraints. https://arxiv.org/abs/quant-ph/0507038

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