© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

IMPERIAL COLLEGE PRESS eBooks

Solving the Schrödinger Equation on Real-Space Grids and with Random Walks

Thomas L. Beck, Joel H. Dedrick

Published Aug 1, 2011• 0 citations

DOI: 10.1142/9781848167254_0010

Related papers

Estimates for the deviations of random walks and a stochastic method for solving the Schrodinger equation

Alexander Mikhailovich Chebotarev, A. V. Polyakov

•Jan 1, 2004•0 citations

A random walk model for the Schrödinger equation

Wolfgang Wagner

Mathematics and Computers in Simulation•Aug 9, 2016•4 citations

Schrödinger's Equation and Discrete Random Walks in a Potential Field

Garnet N. Ord

Annals of Physics•Aug 1, 1996•10 citations

Solving Schroedinger's equation using random walks

Alán Aspuru‐Guzik

•Jan 1, 2004•1 citation

Nodal hypersurfaces and Anderson’s random-walk simulation of the Schrödinger equation

Douglas J. Klein, Herbert M. Pickett

The Journal of Chemical Physics•Jun 1, 1976•51 citations

A random walk model for the Schrödinger equation

Wolfgang Wagner

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.

•Jan 1, 2015•0 citations