paper

Solving the Schrodinger Equation for a Charged Particle in a Magnetic Field using the Finite Difference Time Domain Method

arXiv:0712.4201 · doi:10.1016/j.physleta.2008.01.078

Abstract

We extend our finite difference time domain method for numerical solution of the Schrodinger equation to cases where eigenfunctions are complex-valued. Illustrative numerical results for an electron in two dimensions, subject to a confining potential V(x,y), in a constant perpendicular magnetic field demonstrate the accuracy of the method.

8 pages, 4 figures

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Solving the Schrodinger Equation for a Charged Particle in a Magnetic Field using the Finite Difference Time Domain Method · wovepaper