Random quantization of Hamiltonian systems

DOI10.1134/S106456242103008XzbMath1494.47069arXiv2107.05379OpenAlexW3196378623MaRDI QIDQ2243867

V. Zh. Sakbaev, O. G. Smolyanov, Yu. N. Orlov, John E. Gough

Publication date: 11 November 2021

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

Full work available at URL: https://arxiv.org/abs/2107.05379

zbMATH Keywords

law of large numberscentral limit theoremKolmogorov equationMarkovian processrandom linear operatoroperator-valued random processrandom operator-valued function

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random linear operators (47B80) Stochastic quantization (81S20)

Related Items (6)

Markov approximations of the evolution of quantum systems ⋮ Chernoff iterations as an averaging method for random affine transformations ⋮ 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 ⋮ Operator approach to weak convergence of measures and limit theorems for random operators ⋮ Limit distribution for compositions of random operators

Cites Work

• Theory of semigroups and applications
• Bogoliubov equations and functional mechanics
• Feynman formulas and the law of large numbers for random one-parameter semigroups
• Note on product formulas for operator semigroups
• Unbounded random operators and Feynman formulae
• Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients

This page was built for publication: Random quantization of Hamiltonian systems