ON A LIMIT THEOREM RELATED TO PROBABILISTIC REPRESENTATION OF SOLUTION TO THE CAUCHY PROBLEM FOR THE SCHROEDINGER EQUATION

摘要

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.