Abstract
A functional integral with respect to the Wiener measure that represents a solution of the Schrödinger equation with signed Hamiltonian is obtained. In turn, this integral is derived, using the analytic continuation with respect to the argument, from a similar integral for the corresponding heat equation.
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Acknowledgment
The author is deeply grateful to O. G. Smolyanov for permanent stimulating interest in the research, and also to the Laboratory of Infinite-Dimensional Analysis and Mathematical Physics for encouragement.
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Loboda, A.A. Schrödinger Equation with Signed Hamiltonian. Russ. J. Math. Phys. 27, 99–103 (2020). https://doi.org/10.1134/S1061920820010094
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DOI: https://doi.org/10.1134/S1061920820010094