Itô method for proving the Feynman-Kac formula for the Euclidean analog of the stochastic Schrödinger equation

DOI10.1134/S0012266118040122zbMath1393.60068OpenAlexW2804942746WikidataQ115250767 ScholiaQ115250767MaRDI QIDQ721914

Alexander A. Loboda

Publication date: 20 July 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118040122

zbMATH Keywords

analytic continuationFeynman-Kac formulastochastic Schrödinger equation

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Schrödinger equation with signed Hamiltonian

Cites Work

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• Stochastic Schrödinger-type equation with two-dimensional white noise
• Schrödinger-Belavkin equations and associated Kolmogorov and Lindblad equations
• Feynman path integral corresponding to the Schrödinger stochastic equation.
• Relationship between the Itô-Schrödinger and Hudson-Parthasarathy equations
• Randomized Hamiltonian Feynman integrals and Schrödinger-Itô stochastic equations

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