Email this article Probabilistic Approximation of the Evolution Operator
- Authors: Ibragimov I.A.1,2, Smorodina N.V.1,2, Faddeev M.M.1,2
-
Affiliations:
- St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences
- St. Petersburg State University
- Issue: Vol 52, No 2 (2018)
- Pages: 101-112
- Section: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234449
- DOI: https://doi.org/10.1007/s10688-018-0216-5
- ID: 234449
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
I. A. Ibragimov
St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences; St. Petersburg State University
Author for correspondence.
Email: ibr32@pdmi.ras.ru
Russian Federation, St. Petersburg; St. Petersburg
N. V. Smorodina
St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences; St. Petersburg State University
Email: ibr32@pdmi.ras.ru
Russian Federation, St. Petersburg; St. Petersburg
M. M. Faddeev
St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences; St. Petersburg State University
Email: ibr32@pdmi.ras.ru
Russian Federation, St. Petersburg; St. Petersburg
Supplementary files
