Randomized Hamiltonian mechanics

DOI10.1134/S1064562419030207zbMath1428.81080OpenAlexW2966327806MaRDI QIDQ2332094

V. Zh. Sakbaev, O. G. Smolyanov, Yu. N. Orlov

Publication date: 1 November 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562419030207

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) Ordinary differential equations and systems with randomness (34F05) PDEs with randomness, stochastic partial differential equations (35R60) Optimality conditions for problems involving randomness (49K45)

Related Items (4)

Operator random walks and quantum oscillator ⋮ Stochastic processes on the group of orthogonal matrices and evolution equations describing them ⋮ Schrödinger quantization of infinite-dimensional Hamiltonian systems with a nonquadratic Hamiltonian function ⋮ Hamiltonian Feynman measures, Kolmogorov integral, and infinite-dimensional pseudodifferential operators

Cites Work

• Invariant and quasi-invariant measures on infinite-dimensional spaces
• Averaging of random walks and shift-invariant measures on a Hilbert space
• Feynman formulas for nonlinear evolution equations
• Hamiltonian approach to secondary quantization
• Hamiltonian aspects of quantum theory
• Unbounded random operators and Feynman formulae

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