Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5127990 | Mathematics and Computers in Simulation | 2018 | 11 Pages |
Abstract
A random walk model for the spatially discretized time-dependent Schrödinger equation is constructed. The model consists of a class of piecewise deterministic Markov processes. The states of the processes are characterized by a position and a complex-valued weight. Jumps occur both on the spatial grid and in the space of weights. Between the jumps, the weights change according to deterministic rules. The main result is that certain functionals of the processes satisfy the Schrödinger equation.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Wolfgang Wagner,