Chernoff equivalence for shift operators, generating coherent states in quantum optics

DOI10.1134/S1995080218060033zbMath1401.81095OpenAlexW2887524268WikidataQ129477900 ScholiaQ129477900MaRDI QIDQ1990006

Yu. N. Orlov, L. A. Borisov, V. J. Sakbaev

Publication date: 29 October 2018

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

Full work available at URL: https://doi.org/10.1134/s1995080218060033

zbMATH Keywords

coherent statesquantum opticsChernoff equivalencefeynmann formulas

Mathematics Subject Classification ID

Quantum optics (81V80) Coherent states (81R30) Random linear operators (47B80)

Related Items (5)

Chernoff iterations as an averaging method for random affine transformations ⋮ The Method of Chernoff Approximation ⋮ Operator random walks and quantum oscillator ⋮ Generalized coherent states representation ⋮ Feynman formulas and the law of large numbers for random one-parameter semigroups

Cites Work

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• Note on product formulas for operator semigroups
• Unbounded random operators and Feynman formulae
• Products of independent random operators
• Evolution equation of quantum tomograms for a driven oscillator in the case of the general linear quantization
• Markov Chains, Skew Products and Ergodic Theorems for “General” Dynamic Systems

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