Generalized infinite-dimensional Fresnel integrals |
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Authors: | Sergio Albeverio Sonia Mazzucchi |
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Affiliation: | 1. Institut für Angewandte Mathematik, Wegelerstr. 6, 53115 Bonn, Germany;2. Dipartimento di Matematica, Università di Trento, 38050 Povo, Italy |
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Abstract: | A generalized infinite dimensional oscillatory integral with a polynomially growing phase function is defined and explicitly computed in terms of an absolutely convergent Gaussian integral. The results are applied to the Feynman path integral representation for the solution of the Schrödinger equation with an anharmonic oscillator potential. To cite this article: S. Albeverio, S. Mazzucchi, C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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