On quantization of time-dependent systems with constraints

DOI10.1088/1751-8113/40/13/022zbMath1113.81083arXivhep-th/0609218OpenAlexW1971839097MaRDI QIDQ3431699

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Publication date: 12 April 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: The Dirac method of canonical quantization of theories with second class constraints has to be modified if the constraints depend on time explicitly. A solution of the problem was given by Gitman and Tyutin. In the present work we propose an independent way to derive the rules of quantization for these systems, starting from physical equivalent theory with trivial non-stationarity.

Full work available at URL: https://arxiv.org/abs/hep-th/0609218

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Constrained dynamics, Dirac's theory of constraints (70H45) Operator algebra methods applied to problems in quantum theory (81R15)

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