Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2023, Volume 525, Pages 96–108 (Mi znsl7370)  
An analogue of the Feynman–Kac formula for the multidimensional Shrödinger equation

M. V. Platonovaab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (416 kB)
References:
PDF
HTML
Abstract: A probabilistic approximation of the solution of the Cauchy problem for the multidimensional Schrödinger equation with limited potential is constructed. The approximation has the form of expectations of functionals of a random point field.
Key words and phrases: Schrödinger equation, Poisson random measure, Feynman–Kac formula.
Funding agency Grant number
Russian Science Foundation 22-21-00016
Received: 04.10.2023
Document Type: Article
MSC: 28C20, 60H05, 60G57
Language: Russian
Citation: M. V. Platonova, “An analogue of the Feynman–Kac formula for the multidimensional Shrödinger equation”, Probability and statistics. Part 34, Zap. Nauchn. Sem. POMI, 525, POMI, St. Petersburg, 2023, 96–108
Citation in format AMSBIB
\Bibitem{Pla23}
\by M.~V.~Platonova
\paper An analogue of the Feynman–Kac formula for the multidimensional Shr\"odinger equation
\inbook Probability and statistics. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 525
\pages 96--108
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7370}
Linking options:
  • https://www.mathnet.ru/eng/znsl7370
  • https://www.mathnet.ru/eng/znsl/v525/p96
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Çàïèñêè íàó÷íûõ ñåìèíàðîâ ÏÎÌÈ
    Statistics & downloads:
    Abstract page:67
    Full-text PDF :53
    References:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024