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.
arXiv comment8 pages, 4 figures
Cited by in corpus (9)
- A Parallel Algorithm for Solving the 3d Schrodinger Equation
- Information entropic measures of a quantum harmonic oscillator in symmetric and asymmetric confinement within an impenetrable box
- An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field
- Superintegrability of the Fock-Darwin system
- Position-dependent mass charged particles in magnetic and Aharonov-Bohm flux fields: separability, exact and conditionally exact solvability
- PDM-charged particles in PD-magnetic plus Aharonov-Bohm flux fields: unconfined "almost-quasi-free" and confined in a Yukawa plus Kratzer exact solvability
- Time-dependent coupled oscillator model for charged particle motion in the presence of a time varyingmagnetic field
- Nonstandard Finite Difference Time Domain (NSFDTD) Method for Solving the Schrödinger Equation
- The Finite Difference Time Domain Method for Computing Single-Particle Density Matrix