Abstract
In this paper, we obtain formulas for the analogue of conditional Wiener integrals for the functional $F$ of the form $$ F(x) = \exp\Big\{ \int_{0}^{T} V(x(t)) dt \Big\}, \quad x\in C[0,T] $$ where $V: \Bbb{R} \rightarrow \Bbb{R}$ is a potential function. We then apply this formula to obtain several integration formulas for the functionals involving various potential functions which is used in quantum mechanics and other physical theories.
Citation
Seung Jun Chang. Hyun Soo Chung. Il Yong Lee. "Applications of an analogue of conditional Wiener integrals." Ann. Funct. Anal. 6 (2) 116 - 132, 2015. https://doi.org/10.15352/afa/06-2-11
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