Infinite-dimensional stochastic Schrödinger-Belavkin equations

DOI10.1070/RM1997v052n04ABEH002062zbMath0916.35128OpenAlexW2025726892MaRDI QIDQ4232311

O. G. Smolyanov, Sergio A. Albeverio

Publication date: 27 July 1999

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1997v052n04abeh002062

zbMATH Keywords

Kolmogorov equationGaussian measuremixed stateSchrödinger-Belavkin equationinfinite-dimensional harmonic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic analysis (60H99) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (3)

Representations of solutions of Lindblad equations by randomized Feynman formulas ⋮ Representation of solutions of the stochastic Schrödinger equation in the form of a Feynman integral ⋮ Infinite-dimensional evolution equations and the representation of their solutions in the form of Feynman integrals

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