M. V. Platonova, “On a probabilistic approximation of a group of unitary operators”, Zap. Nauchn. Sem. POMI, 2022, Volume 510,Pages <nobr>211

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On a probabilistic approximation of a group of unitary operators

M. V. Platonova^ab

^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
^b Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: We construct a probabilistic approximation of the Cauchy problem solution for a high-order Schrödinger equation with bounded potential in the form of expectations of functionals of a point random field.

Key words and phrases: evolution equations, Poisson random measures, Feynman–Kac formula.

UDC: 519.2

Received: 29.08.2022