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arXiv · 0712.4201

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

I. Wayan Sudiarta·D. J. Wallace Geldart
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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.

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I. Wayan Sudiarta, D. J. Wallace Geldart. 2007-12-27. Solving the Schrodinger Equation for a Charged Particle in a Magnetic Field using the Finite Difference Time Domain Method. https://doi.org/10.1016/j.physleta.2008.01.078

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