Hamiltonian approach to secondary quantization

DOI10.1134/S1064562418070098zbMath1410.81029OpenAlexW2909046560WikidataQ128683893 ScholiaQ128683893MaRDI QIDQ1732056

O. G. Smolyanov, Valery V. Kozlov

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562418070098

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Axiomatic quantum field theory; operator algebras (81T05) 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) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items

Direct limit of shift-invariant measures on a Hilbert space ⋮ Unitary representation of walks along random vector fields and the Kolmogorov-Fokker-Planck equation in a Hilbert space ⋮ Compositions of random processes in a Hilbert space and its limit distribution ⋮ Hamiltonian operators with zero-divergence constraints ⋮ Randomized Hamiltonian mechanics

Cites Work

• Hamiltonian and Feynman aspects of secondary quantization
• Feynman and quasi-Feynman formulas for evolution equations
• Hamiltonian aspects of quantum theory
• SMOOTH PROBABILITY MEASURES AND ASSOCIATED DIFFERENTIAL OPERATORS
• Representation of solutions of evolution equations on a ramified surface by Feynman formulae
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item