English

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

Computational Physics 2008-07-05 v1

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.

Keywords

Cite

@article{arxiv.0712.4201,
  title  = {Solving the Schrodinger Equation for a Charged Particle in a Magnetic Field using the Finite Difference Time Domain Method},
  author = {I. Wayan Sudiarta and D. J. Wallace Geldart},
  journal= {arXiv preprint arXiv:0712.4201},
  year   = {2008}
}

Comments

8 pages, 4 figures

R2 v1 2026-06-21T09:57:45.040Z