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A white noise approach to phase space Feynman path integrals
University of Kaiserlautern, Germany.ORCID iD: 0000-0002-8400-0416
University of Kaiserlautern, Germany.
2012 (English)In: Theory of Probability and Mathematical Statistics, ISSN 0094-9000, Vol. 85, p. 7-22Article in journal (Refereed) Published
Abstract [en]

The concepts of phase space Feynman integrals in White Noise Analysis are established. As an example the harmonic oscillator is treated. The approach perfectly reproduces the right physics. I.e., solutions to the Schrodinger equation are obtained and the canonical commutation relations are satisfied. The later can be shown, since we not only construct the integral but rather the Feynman integrand and the corresponding generating functional.

Place, publisher, year, edition, pages
Tara Shevchenko National University Kyiv , 2012. Vol. 85, p. 7-22
National Category
Probability Theory and Statistics
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-124556DOI: 10.1090/S0094-9000-2013-00870-9ISI: 000440637000002Scopus ID: 2-s2.0-84877853683OAI: oai:DiVA.org:lnu-124556DiVA, id: diva2:1802858
Available from: 2023-10-06 Created: 2023-10-06 Last updated: 2023-10-17Bibliographically approved

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Bock, Wolfgang

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