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

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

2007-12-27

arxiv.org/abs/0712.4201v1

Phys. Lett. A, 372(18),3145 (2008)

Physics

Computational Physics

8 pages, 4 figures

Scientific paper

10.1016/j.physleta.2008.01.078

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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