Probabilistic Approximation of the Evolution Operator


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A method for approximation of the operator e−itH, where \(H = - \frac{1}{2}\frac{{{d^2}}}{{d{x^2}}} + V(x)\), in the strong operator topology is proposed. The approximating operators have the form of expectations of functionals of a certain random point field.

作者简介

I. Ibragimov

St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences; St. Petersburg State University

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Email: ibr32@pdmi.ras.ru
俄罗斯联邦, St. Petersburg; St. Petersburg

N. Smorodina

St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences; St. Petersburg State University

Email: ibr32@pdmi.ras.ru
俄罗斯联邦, St. Petersburg; St. Petersburg

M. Faddeev

St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences; St. Petersburg State University

Email: ibr32@pdmi.ras.ru
俄罗斯联邦, St. Petersburg; St. Petersburg

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