Three useful bounds in quantum mechanics - easily obtained by Wiener integration

In a reasonably self-contained and explicit presentation we illustrate the efficiency of the Feynman-Kac formula for the rigorous derivation of three inequalities of interest in non-relativistic quantum mechanics.

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Bibliographic Details
Published inarXiv.org
Main Authors Leschke, Hajo, Ruder, Rainer
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 28.10.2008
Subjects
Mathematics - Mathematical Physics
Physics - Mathematical Physics
Physics - Quantum Physics
Quantum mechanics
Quantum physics
Quantum theory
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Summary:In a reasonably self-contained and explicit presentation we illustrate the efficiency of the Feynman-Kac formula for the rigorous derivation of three inequalities of interest in non-relativistic quantum mechanics.
ISSN:2331-8422
DOI:10.48550/arxiv.0810.2495