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A random walk model for the Schrödinger equation

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  • Wagner, Wolfgang

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.

Suggested Citation

  • Wagner, Wolfgang, 2018. "A random walk model for the Schrödinger equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 143(C), pages 138-148.
    • Handle: RePEc:eee:matcom:v:143:y:2018:i:c:p:138-148
    DOI: 10.1016/j.matcom.2016.07.012
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    Cited by:

    1. Zarezadeh Zakarya & Costantini Giovanni, 2019. "Particle diffusion Monte Carlo (PDMC)," Monte Carlo Methods and Applications, De Gruyter, vol. 25(2), pages 121-130, June.

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