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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 3, Pages 423–432
DOI: https://doi.org/10.4213/tmf8957
(Mi tmf8957)
 

Maslov complex germ method for systems with second-class constraints

O. Yu. Shvedov

Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia
References:
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
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 3, Pages 365–373
DOI: https://doi.org/10.1134/S0040577916030053
Bibliographic databases:
Document Type: Article
PACS: 03.65.Sq, 11.10.Ef
Language: Russian
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
Citation in format AMSBIB
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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