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The Feynman integral of quadratic potentials depending on n time variables

Published online by Cambridge University Press:  22 January 2016

Chull Park  and
David Skoug
Chull Park
Affiliation:
Department of Mathematics and Statistics, Miami University, Oxford, OH 45056
David Skoug
Affiliation:
Department of Mathematics and Statistics, University of Nebraska, Lincoln, NE 68588-0323
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Let C1[0, T] denote (one-parameter) Wiener space; that is the space of continuous functions x on [0, T] such that x(0) = 0. In a recent expository essay [21], Nelson calls attention to some functions on Wiener space which were discussed in the book of Feynman and Hibbs [13, section 3-10] and in Feynman’s original paper [12, section 13]. These functions have the form

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 110 , June 1988 , pp. 151 - 162
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

References

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