Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation

نویسندگان

  • TIAO LU
  • WEI CAI
  • PINGWEN ZHANG
  • P. ZHANG
چکیده

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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تاریخ انتشار 2004