A random walk model for the Schrödinger equation

DOI10.1016/j.matcom.2016.07.012zbMath1484.82048OpenAlexW2518294492MaRDI QIDQ1996943

Wolfgang Wagner

Publication date: 1 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2016.07.012

zbMATH Keywords

Schrödinger equationprobabilistic representationpiecewise deterministic Markov processrandom walk model

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Time-dependent Schrödinger equations and Dirac equations (35Q41) Jump processes on discrete state spaces (60J74)

Related Items (1)

Particle diffusion Monte Carlo (PDMC)

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