A Feynman–Kac formula for magnetic monopoles

DOI10.1142/S0219025721500156zbMath1476.58036arXiv2005.09438OpenAlexW3173770858MaRDI QIDQ5158591

Jonathan Dimock

Publication date: 25 October 2021

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09438

zbMATH Keywords

Schrödinger operatormagnetic monopoleFeynman-Kac\(U(1)\) vector bundle

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic integrals (60H05) Schrödinger and Feynman-Kac semigroups (47D08)

Cites Work

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• On generalized Schrödinger semigroups
• The Feynman-Kac formula for Schrödinger operators on vector bundles over complete manifolds
• Scattering on the Dirac magnetic monopole
• Magnetic Energies and Feynman–Kac–Itô Formulas for Symmetric Markov Processes
• Stochastic differential equations. An introduction with applications.

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