Hamiltonian structures in the quantum theory of Hamilton-Dirac systems

DOI10.1134/S1064562415010214zbMath1337.81086MaRDI QIDQ2353065

Tudor S. Ratiu, O. G. Smolyanov

Publication date: 7 July 2015

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

zbMATH Keywords

quantum theoryHamiltonian structuresHamilton-Dirac systemsalmost Poisson structuresHamilton-Dirac equationLiouville-Dirac equationLocally convex topological spacesquantization secondary quantization

Mathematics Subject Classification ID

Hamilton's equations (70H05) Many-body theory; quantum Hall effect (81V70) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Constrained dynamics, Dirac's theory of constraints (70H45)

Related Items (1)

Hamiltonian Feynman measures, Kolmogorov integral, and infinite-dimensional pseudodifferential operators

Cites Work

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• Hamiltonian and Feynman aspects of secondary quantization
• Schrödinger quantization of Hamilton-Dirac systems and Feynman integrals over superspaces
• Momentum maps and Hamiltonian reduction
• Hamiltonian aspects of quantum theory
• Foundations of Quantum Mechanics

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