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.

Original languageEnglish
Pages (from-to)702-713
Number of pages12
JournalJournal of Mathematical Sciences (United States)
Volume229
Issue number6
Early online date21 Feb 2018
DOIs
StatePublished - Mar 2018

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

ID: 35401074