A third representation of Feynman-Kac-Itô formula with singular magnetic vector potential

DOI10.1007/s11005-021-01376-3zbMath1480.60143OpenAlexW3134328876MaRDI QIDQ829943

Taro Murayama

Publication date: 7 May 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-021-01376-3

zbMATH Keywords

path integralBrownian motionmagnetic Schrödinger operatorFisk-Stratonovich integralFeynman-Kac-Itô formulabackward Itô stochastic integral

Mathematics Subject Classification ID

Brownian motion (60J65) Path integrals in quantum mechanics (81S40) Stochastic integrals (60H05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A probabilistic approach to the zero-mass limit problem for three magnetic relativistic Schrödinger heat semigroups
• Dirichlet forms and symmetric Markov processes.
• On three magnetic relativistic Schrödinger operators and imaginary-time path integrals
• Errata: Stochastic calculus over symmetric Markov processes without time reversal
• The zero-mass limit problem for a relativistic spinless particle in an electromagnetic field
• Probability theory. A comprehensive course.
• PATH INTEGRAL REPRESENTATION FOR SCHRÖDINGER OPERATORS WITH BERNSTEIN FUNCTIONS OF THE LAPLACIAN
• On the relativistic Feynman-Kac-Ito formula
• Lévy Processes and Stochastic Calculus
• The stochastic integral of noncausal type as an extension of the symmetric integrals
• Magnetic Relativistic Schrödinger Operators and Imaginary-time Path Integrals
• Noncausal Stochastic Calculus
• On a Riemann definition of the stochastic integral, II

This page was built for publication: A third representation of Feynman-Kac-Itô formula with singular magnetic vector potential