The Feynman integrand for the perturbed harmonic oscillator as a Hida distribution

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 1995Embargo end date: 01 Jan 2003 English Publisher:WileyJournal:Annalen der Physik, volume 507, pages 53-67 (issn: 0003-3804, eissn: 1521-3889,

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Authors: Cunha, Mário; Drumond, Custódia; Leukert, Peter; Silva, José Luís; Westerkamp, Werner;

doi: 10.1002/andp.19955070107 , 10.48550/arxiv.math-ph/0303005

arXiv: math-ph/0303005

handle: 10400.13/4786

The Feynman integrand for the perturbed harmonic oscillator as a Hida distribution

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Abstract

AbstractWe 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. We show that the Feynman integrand for the harmonic oscillator in an external potential is a Hida distribution.

Related Organizations

University of Madeira
Portugal
Bielefeld University
Germany

Keywords

FOS: Physical sciences, Mathematical Physics (math-ph), White noise analysis, ., Faculdade de Ciências Exatas e da Engenharia, Quantum theory, 81S40, 58D30, 46T12, 60H40; 81S40, 58D30, 46T12, Functional integration, Mathematical Physics, 60H40

21 Research products, page 1 of 3

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