Amplitude flux, probability flux, and gauge invariance in the finite volume scheme for the Schrödinger equation

DOI10.1016/J.JCP.2014.10.008zbMath1349.65370OpenAlexW2028711637MaRDI QIDQ349732

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.10.008

zbMATH Keywords

Schrödinger equationfinite volumebohmian trajectories

Mathematics Subject Classification ID

Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Simple, accurate, and efficient implementation of 1-electron atomic time-dependent Schrödinger equation in spherical coordinates

Cites Work

• Time dependent Schrödinger equation on arbitrary structured grids: application to photoionization
• Observing the Average Trajectories of Single Photons in a Two-Slit Interferometer
• Finite Volume Methods for Hyperbolic Problems

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