On a Limit Theorem Related to Probabilistic Representation of Solution to the Cauchy Problem for the Schrödinger Equation

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On a Limit Theorem Related to Probabilistic Representation of Solution to the Cauchy Problem for the Schrödinger Equation. / Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.

в: Journal of Mathematical Sciences (United States), Том 229, № 6, 03.2018, стр. 702-713.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{5ff1974e36b547a9b4764f3dd443593f,

title = "On a Limit Theorem Related to Probabilistic Representation of Solution to the Cauchy Problem for the Schr{\"o}dinger Equation",

abstract = "A new method of probabilistic approximation of solution to the Cauchy problem for the unperturbed Schr{\"o}dinger equation by expectations of functionals of a random walk is suggested. In contrast to earlier papers of the authors, the existence of exponential moment for each step of the random walk is not assumed.",

author = "Ibragimov, {I. A.} and Smorodina, {N. V.} and Faddeev, {M. M.}",

note = "Ibragimov, I.A., Smorodina, N.V. & Faddeev, M.M. On a Limit Theorem Related to Probabilistic Representation of Solution to the Cauchy Problem for the Schr{\"o}dinger Equation. J Math Sci 229, 702–713 (2018). https://doi.org/10.1007/s10958-018-3709-0",

year = "2018",

month = mar,

doi = "10.1007/s10958-018-3709-0",

language = "English",

volume = "229",

pages = "702--713",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "6",

}

RIS

TY - JOUR

T1 - On a Limit Theorem Related to Probabilistic Representation of Solution to the Cauchy Problem for the Schrödinger Equation

AU - Ibragimov, I. A.

AU - Smorodina, N. V.

AU - Faddeev, M. M.

N1 - Ibragimov, I.A., Smorodina, N.V. & Faddeev, M.M. On a Limit Theorem Related to Probabilistic Representation of Solution to the Cauchy Problem for the Schrödinger Equation. J Math Sci 229, 702–713 (2018). https://doi.org/10.1007/s10958-018-3709-0

PY - 2018/3

Y1 - 2018/3

N2 - A new method of probabilistic approximation of solution to the Cauchy problem for the unperturbed Schrödinger equation by expectations of functionals of a random walk is suggested. In contrast to earlier papers of the authors, the existence of exponential moment for each step of the random walk is not assumed.

AB - A new method of probabilistic approximation of solution to the Cauchy problem for the unperturbed Schrödinger equation by expectations of functionals of a random walk is suggested. In contrast to earlier papers of the authors, the existence of exponential moment for each step of the random walk is not assumed.

UR - http://www.scopus.com/inward/record.url?scp=85042225288&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3709-0

DO - 10.1007/s10958-018-3709-0

M3 - Article

AN - SCOPUS:85042225288

VL - 229

SP - 702

EP - 713

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 35401074