Feynman path integrals for magnetic Schrödinger operators on infinite weighted graphs

DOI10.1007/s11854-020-0110-yOpenAlexW3048304255MaRDI QIDQ1996487

Matthias Keller, Batu Güneysu

Publication date: 5 March 2021

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06934

zbMATH Keywords

Feynman path integralFeynman-Kac-Itô formulaSchödinger unitary groupSchrödinger equation on graphs

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Schrödinger and Feynman-Kac semigroups (47D08) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Cites Work

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• Weighted estimates for the Laplacian on the cubic lattice
• The Ten Martini problem
• Generalized Schrödinger semigroups on infinite graphs
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• Single Band Motion of Conduction Electrons in a Uniform Magnetic Field

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