论文信息 - CONSERVATIVE LOCAL DISCONTINUOUS GALERKIN METHODS FOR TIME DEPENDENT SCHR˜ ODINGER EQUATION

CONSERVATIVE LOCAL DISCONTINUOUS GALERKIN METHODS FOR TIME DEPENDENT SCHR˜ ODINGER EQUATION

This paper presents a high order local discontinuous Galerkin time-domain method for solving time dependent Schrodinger equations. After rewriting the Schrodinger equation in terms of a flrst order system of equations, a numerical ∞ux is constructed to preserve the conservative property for the density of the particle described. Numerical results for a model square poten- tial scattering problem is included to demonstrate the high order accuracy of the proposed numerical method.

Pingwen Zhang | Tiao Lu | Wei Cai

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