Brownian Motion and a Consequence of Harnack's Inequality: Nodes of Quantum Wave Functions

DOI10.2307/2042967zbMath0444.35024OpenAlexW4247700060MaRDI QIDQ3887838

Barry Simon, Thomas Hoffmann-Ostenhof, Maria Hoffmann-Ostenhof

Publication date: 1980

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2042967

zbMATH Keywords

probabilistic methodsweak Harnack inequalitygroundstatesunique continuation theoremFeynman-Kac's formulaBrownian motion ideas

Mathematics Subject Classification ID

Brownian motion (60J65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10)

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