Hamiltonian aspects of quantum theory

DOI10.1134/S1064562412030349zbMath1260.81092OpenAlexW2094146293MaRDI QIDQ1761040

O. G. Smolyanov, Valery V. Kozlov

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412030349

zbMATH Keywords

dequantization

Mathematics Subject Classification ID

Hamilton's equations (70H05) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (7)

Hamiltonian and Feynman aspects of secondary quantization ⋮ Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems ⋮ Hamiltonian approach to secondary quantization ⋮ Schrödinger quantization of infinite-dimensional Hamiltonian systems with a nonquadratic Hamiltonian function ⋮ Hamiltonian Feynman measures, Kolmogorov integral, and infinite-dimensional pseudodifferential operators ⋮ Randomized Hamiltonian mechanics ⋮ Hamiltonian structures in the quantum theory of Hamilton-Dirac systems

Cites Work

• Infinite-dimensional equation Liouville with respect to measures
• Wigner measures on infinite-dimensional spaces and the Bogolyubov equations for quantum systems
• Asymptotic decoherence in infinite-dimensional quantum systems with quadratic Hamiltonians
• Functional Representations for Fock Superalgebras
• Unnamed Item

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