Finite element approach for simulating quantum electron dynamics in a magnetic field

Abstract

A fast and stable numerical method is formulated to compute the time evolution of a wave function in a magnetic field by solving the time-dependent Schroedinger equation. This computational method is based on the finite element method in real space to improved accuracy without any increase of computational cost. This method is also based on Suzuki's exponential product theory to afford an efficient way to manage the TD-Schroedinger equation with a vector potential. Applying this method to some simple electron dynamics, we have confirmed its efficiency and accuracy.

7 pages, 30 eps figures

References in corpus (1)

• Fast and stable method for simulating quantum electron dynamics

Cited by in corpus (3)

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• First-quantized eigensolver for ground and excited states of electrons under a uniform magnetic field
• Toroidal configuration of the orbit of the electron of the hydrogen atom under strong external magnetic fields