Efficient simulation of the Schrödinger equation with a piecewise constant positive potential

DOI10.1016/j.matcom.2019.05.012OpenAlexW2948947239MaRDI QIDQ1997710

Xuxin Yang, Tommi Sottinen, Antti H. Rasila

Publication date: 2 March 2021

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

Full work available at URL: https://arxiv.org/abs/1512.01306

zbMATH Keywords

Brownian motionSchrödinger equationharmonic measurenumerical algorithmYukawa equationKilling walk-on-spheres

Mathematics Subject Classification ID

Quantum scattering theory (81Uxx) Quantum theory (81-XX)

Related Items (2)

Walk on spheres algorithm for Helmholtz and Yukawa equations via Duffin correspondence ⋮ Yukawa potential, panharmonic measure and Brownian motion

Cites Work

• Hitting time for Bessel processes-walk on moving spheres algorithm (WoMS)
• Hitting spheres with Brownian motion
• The walk on moving spheres: a new tool for simulating Brownian motion's exit time from a domain
• Yukawa potential, panharmonic measure and Brownian motion
• Walk on spheres algorithm for Helmholtz and Yukawa equations via Duffin correspondence
• Yukawan potential theory
• Some Continuous Monte Carlo Methods for the Dirichlet Problem
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