Deformation quantization of constrained systems: a group averaging approach
نویسندگان
چکیده
منابع مشابه
Quantization of Constrained Systems
We study special systems with infinitely many degrees of freedom with regard to dynamical evolution and fulfillment of constraint conditions. Attention is focused on establishing a meaningful functional framework, and for that purpose, coherent states and reproducing kernel techniques are heavily exploited. Several examples are given.
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Refined Algebraic Quantization (RAQ) is an attempt (amongst others) to concretize Dirac’s program for the quantization of constrained systems within a generally applicable, well defined mathematical framework. It was first formulated as a general scheme in [1,9] and recently developed further in [3,4]. Here I wish to report on these recent developments. The method itself has already been used (...
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The Weyl-Wigner formulation of quantum confined systems poses several interesting problems. The energy stargenvalue equation, as well as the dynamical equation does not display the expected solutions. In this paper we review some previous results in the subject and add some new contributions. We reformulate the confined energy eigenvalue equation by adding to the Hamiltonian a new (distribution...
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The present article is primarily a review of the projection-operator approach to quantize systems with constraints. We study the quantization of systems with general firstand second-class constraints from the point of view of coherent-state, phase-space path integration, and show that all such cases may be treated, within the original classical phase space, by using suitable path-integral measu...
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We study the deformation quantisation (Moyal quantisation) of general constrained Hamiltonian systems. It is shown how second class constraints can be turned into first class quantum constraints. This is illustrated by the O(N) non-linear σ-model. Some new light is also shed on the Dirac bracket. Furthermore, it is shown how classical constraints not in involution with the classical Hamiltonian...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2020
ISSN: 0264-9381,1361-6382
DOI: 10.1088/1361-6382/ab6861