Operator random walks and quantum oscillator

DOI10.1134/S1995080220040186zbMath1450.81041OpenAlexW3046117407MaRDI QIDQ2206668

V. Zh. Sakbaev, Yu. N. Orlov, D. V. Zavadsky

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220040186

zbMATH Keywords

distribution functionquantum oscillatorrandom operator semigroup

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Groups and semigroups of linear operators (47D03) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80) Group- or semigroup-valued set functions, measures and integrals (28B10)

Related Items

Stochastic processes on the group of orthogonal matrices and evolution equations describing them ⋮ Quantum systems with infinite-dimensional coordinate space and the Fourier transform ⋮ Limit distribution for compositions of random operators

Cites Work

• Feynman formulas as a method of averaging random Hamiltonians
• Chernoff's theorem and discrete time approximations of Brownian motion on manifolds
• Chernoff equivalence for shift operators, generating coherent states in quantum optics
• Feynman formulas and the law of large numbers for random one-parameter semigroups
• Randomized Hamiltonian mechanics
• On the law of large numbers for compositions of independent random semigroups
• Unbounded random operators and Feynman formulae
• Unnamed Item
• Unnamed Item

This page was built for publication: Operator random walks and quantum oscillator