On function spaces for quantum systems with constraints

DOI10.1134/S0001434616090327zbMath1357.81124OpenAlexW2533379745MaRDI QIDQ509172

Oleg Yu. Shvedov

Publication date: 9 February 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616090327

zbMATH Keywords

space of distributionsquantum system with constraints

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05) Constrained dynamics, Dirac's theory of constraints (70H45) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

• Semiclassical symmetries.
• On correspondence of BRST-BFV, Dirac, and refined algebraic quantizations of constrained systems
• Group averaging for de Sitter free fields in terms of hyperspherical functions
• Maslov complex germ method for systems with first-class constraints
• Constraint rescaling in refined algebraic quantisation: Momentum constraint
• A uniqueness theorem for constraint quantization
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
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