A fundamental solution to the Schrödinger equation with Doss potentials and its smoothness

DOI10.1063/1.4983132zbMath1364.81111arXiv1503.05058OpenAlexW2963141123MaRDI QIDQ5738719

F. Riemann, Martin Grothaus

Publication date: 12 June 2017

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

Full work available at URL: https://arxiv.org/abs/1503.05058

Mathematics Subject Classification ID

Brownian motion (60J65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) White noise theory (60H40) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (7)

Phase space Feynman path integrals of parabolic type on the torus as analysis on path space ⋮ On the pointwise convergence of the integral kernels in the Feynman-Trotter formula ⋮ A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field ⋮ Mathematical Aspects of Feynman Path Integrals, Divergences, Quantum Fields and Diagrams, and Some More General Reflections ⋮ White noise delta functions and infinite-dimensional Laplacians ⋮ Mathematical theory of Feynman path integrals ⋮ Integration by parts on the law of the modulus of the Brownian bridge

Cites Work

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