A probabilistic approach to the zero-mass limit problem for three magnetic relativistic Schrödinger heat semigroups

DOI10.21099/TKBJM/1474747485zbMath1350.60066arXiv1608.02299OpenAlexW2964009849MaRDI QIDQ329124

Taro Murayama

Publication date: 21 October 2016

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02299

zbMATH Keywords

Brownian motionfunctional limit theoremLévy processsemimartingaleFeynman-Kac-Itô path integral formulamagnetic relativistic Schrödinger operator

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Brownian motion (60J65) Generalizations of martingales (60G48) Applications of stochastic analysis (to PDEs, etc.) (60H30) Path integrals in quantum mechanics (81S40) Stochastic integrals (60H05) Functional limit theorems; invariance principles (60F17) Initial value problems for PDEs with pseudodifferential operators (35S10)

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