Enviar artigo por via de e-mail Probabilistic Approximation of the Evolution Operator
- Autores: Ibragimov I.A.1,2, Smorodina N.V.1,2, Faddeev M.M.1,2
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Afiliações:
- St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences
- St. Petersburg State University
- Edição: Volume 52, Nº 2 (2018)
- Páginas: 101-112
- Seção: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234449
- DOI: https://doi.org/10.1007/s10688-018-0216-5
- ID: 234449
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Resumo
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.
Sobre autores
I. Ibragimov
St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences; St. Petersburg State University
Autor responsável pela correspondência
Email: ibr32@pdmi.ras.ru
Rússia, 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
Rússia, 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
Rússia, St. Petersburg; St. Petersburg
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