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Quantum mechanical propagators in terms of Hida distributions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Aug 1993Embargo end date: 01 Jan 2003 Germany English Publisher:Elsevier BVJournal:Reports on Mathematical Physics, volume 33, pages 221-232 (issn: 0034-4877, Copyright policy )
Authors: Lascheck, Angelika; Leukert, Peter; Streit, Ludwig; Westerkamp, Werner;

doi: 10.1016/0034-4877(93)90057-l , 10.48550/arxiv.math-ph/0303012

arXiv: math-ph/0303012

Quantum mechanical propagators in terms of Hida distributions

Abstract

We review some basic notions and results of White Noise Analysis that are used in the construction of the Feynman integrand as a generalized White Noise functional. After sketching this construction for a large class of potentials we show that the resulting Feynman integrals solve the Schroedinger equation.

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Germany
Related Organizations
Keywords

white noise analysis, generalized white noise functional, Path integrals in quantum mechanics, Random operators and equations (aspects of stochastic analysis), FOS: Physical sciences, Schrödinger equation, Mathematical Physics (math-ph), Generalized stochastic processes, 81S40, 58D30, 46T12, 60H40; 81S40, 58D30, 46T12, Feynman integrals, Mathematical Physics, 60H40

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Average
Top 10%
Top 10%
Green
bronze