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Maslov complex germ method for systems with second-class constraints
O. Yu. Shvedov Faculty of Physics, Lomonosov Moscow State University, Moscow,
Russia
Abstract:
We study the semiclassical mechanics of systems with second-class constraints. We assume that the quantum mechanics of such a system is constructed by the Batalin–Fradkin–Tyutin method, where some additional coordinates and momenta are introduced and second-class constraints are converted into first-class constraints. We also assume that the algebraic quantization method is used to quantize the extended system. To construct the semiclassical approximation, we use the Maslov complex germ theory. We study the semiclassical states of a system with second-class constraints, their scalar product, and the action of semiclassical observables in the first order of the semiclassical expansion. We consider the transformation of semiclassical states in the course of evolution.
Keywords:
constrained system, semiclassical approximation, Maslov complex germ, Batalin–Fradkin–Tyutin method.
Received: 28.04.2015
Citation:
O. Yu. Shvedov, “Maslov complex germ method for systems with second-class constraints”, TMF, 186:3 (2016), 423–432; Theoret. and Math. Phys., 186:3 (2016), 365–373
Linking options:
https://www.mathnet.ru/eng/tmf8957https://doi.org/10.4213/tmf8957 https://www.mathnet.ru/eng/tmf/v186/i3/p423
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Abstract page: | 331 | Full-text PDF : | 132 | References: | 43 | First page: | 30 |
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