Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation
Year: 2005
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 1 : pp. 75–84
Abstract
This paper presents a high order local discontinuous Galerkin time-domain method for solving time dependent Schrödinger equations. After rewriting the Schrödinger equation in terms of a first order system of equations, a numerical flux is constructed to preserve the conservative property for the density of the particle described. Numerical results for a model square potential scattering problem is included to demonstrate the high order accuracy of the proposed numerical method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-IJNAM-921
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 1 : pp. 75–84
Published online: 2005-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Local discontinuous Galerkin (LDG) method Schrödinger equation quantum structures.