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

DOI10.1134/S1064562419050120zbMath1436.35336OpenAlexW4235075711WikidataQ126798125 ScholiaQ126798125MaRDI QIDQ2304355

N. N. Shamarov, O. G. Smolyanov

Publication date: 11 March 2020

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

Full work available at URL: https://doi.org/10.1134/s1064562419050120

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Path integrals in quantum mechanics (81S40) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (4)

Dirichlet problem for Poisson equation on the rectangle in infinite dimensional Hilbert space ⋮ Dynamics of a set of quantum states generated by a nonlinear Liouville-von Neumann equation ⋮ Lévy Laplacians and instantons on manifolds ⋮ Schrödinger quantization of infinite-dimensional Hamiltonian systems with a nonquadratic Hamiltonian function

Cites Work

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• Hamiltonian aspects of quantum theory
• Randomized Hamiltonian mechanics
• Hamiltonian structures in the quantum theory of Hamilton-Dirac systems
• Hamiltonian Feynman path integrals via the Chernoff formula

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