On the Feynman path integral for the magnetic Schrödinger equation with a polynomially growing electromagnetic potential

DOI10.1142/S0129055X20500038zbMath1436.81048arXiv1901.05677OpenAlexW3101584631MaRDI QIDQ5107254

Wataru Ichinose

Publication date: 17 April 2020

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

Full work available at URL: https://arxiv.org/abs/1901.05677

zbMATH Keywords

Schrödinger equationFeynman path integralpolynomially growing potential

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items (3)

A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field ⋮ On the mathematical formulation of the restricted Feynman path integrals through broken line paths ⋮ Time-slicing approximation of Feynman path integrals on compact manifolds

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