Probabilistic Approximation of the Evolution Operator

DOI

https://doi.org/10.1007/s10688-018-0216-5
Final published version

I. A. Ibragimov
N. V. Smorodina
M. M. Faddeev

A method for approximation of the operator e^−itH, where H=−12d2dx2+V(x), in the strong operator topology is proposed. The approximating operators have the form of expectations of functionals of a certain random point field.

Original language	English
Pages (from-to)	101-112
Number of pages	12
Journal	Functional Analysis and its Applications
Volume	52
Issue number	2
DOIs	https://doi.org/10.1007/s10688-018-0216-5
State	Published - 1 Apr 2018

Scopus subject areas

Analysis
Applied Mathematics

Research areas

evolution equation, Feynman–Kac formula, limit theorem, Feynman-Kac formula, EQUATION

ID: 35401172