Il Yoo, David Skoug
Abstract
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In this paper we obtain a change of scale formula for Wiener integrals on abstract Wiener spaces. This formula is shown to hold for many classes of functions of interest in Feynman integration theory and quantum mechanics.
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In this paper we obtain a change of scale formula for Wiener integrals on abstract Wiener spaces. This formula is shown to hold for many classes of functions of interest in Feynman integration theory and quantum mechanics.
Key concepts: Mathematics, Feynman integral, Integral representation theorem for classical Wiener space, Classical Wiener space, Functional integration, Scale (ratio), Wiener process, Pure mathematics