Feynman formulas as a method of averaging random Hamiltonians

DOI10.1134/S0081543814040154zbMath1304.81082OpenAlexW2164635376WikidataQ114075169 ScholiaQ114075169MaRDI QIDQ483607

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

Publication date: 17 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814040154

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Vector-valued measures and integration (46G10) Schrödinger and Feynman-Kac semigroups (47D08)

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Cites Work

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• Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian
• Chernoff's theorem and discrete time approximations of Brownian motion on manifolds
• Memory effects and homogenization
• Note on product formulas for operator semigroups
• Hamiltonian Feynman path integrals via the Chernoff formula
• Finitely Additive Measures

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