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Probabilistic Approximation of the Evolution Operator. / Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.

In: Functional Analysis and its Applications, Vol. 52, No. 2, 01.04.2018, p. 101-112.

Research output: Contribution to journal › Article › peer-review

Harvard

Ibragimov, IA, Smorodina, NV & Faddeev, MM 2018, 'Probabilistic Approximation of the Evolution Operator', Functional Analysis and its Applications, vol. 52, no. 2, pp. 101-112. https://doi.org/10.1007/s10688-018-0216-5

APA

Ibragimov, I. A., Smorodina, N. V., & Faddeev, M. M. (2018). Probabilistic Approximation of the Evolution Operator. Functional Analysis and its Applications, 52(2), 101-112. https://doi.org/10.1007/s10688-018-0216-5

Vancouver

Ibragimov IA, Smorodina NV, Faddeev MM. Probabilistic Approximation of the Evolution Operator. Functional Analysis and its Applications. 2018 Apr 1;52(2):101-112. https://doi.org/10.1007/s10688-018-0216-5

Author

Ibragimov, I. A. ; Smorodina, N. V. ; Faddeev, M. M. / Probabilistic Approximation of the Evolution Operator. In: Functional Analysis and its Applications. 2018 ; Vol. 52, No. 2. pp. 101-112.

BibTeX

@article{4b1c76ae611c4a3f9205948bfaae4390,
title = "Probabilistic Approximation of the Evolution Operator",
abstract = "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.",
keywords = "evolution equation, Feynman–Kac formula, limit theorem, Feynman-Kac formula, EQUATION",
author = "Ibragimov, {I. A.} and Smorodina, {N. V.} and Faddeev, {M. M.}",
year = "2018",
month = apr,
day = "1",
doi = "10.1007/s10688-018-0216-5",
language = "English",
volume = "52",
pages = "101--112",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Probabilistic Approximation of the Evolution Operator

AU - Ibragimov, I. A.

AU - Smorodina, N. V.

AU - Faddeev, M. M.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - 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.

AB - 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.

KW - evolution equation

KW - Feynman–Kac formula

KW - limit theorem

KW - Feynman-Kac formula

KW - EQUATION

UR - http://www.scopus.com/inward/record.url?scp=85049584842&partnerID=8YFLogxK

U2 - 10.1007/s10688-018-0216-5

DO - 10.1007/s10688-018-0216-5

M3 - Article

AN - SCOPUS:85049584842

VL - 52

SP - 101

EP - 112

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 2

ER -

ID: 35401172