Quantum Mechanics Applications Using the Time Dependent Schrödinger Equation in COMSOL Multiphysics® Software

A. J. Kalinowski [1],
[1] University of Connecticut, East Lyme, CT, USA
Veröffentlicht in 2015

The paper illustrates the use of COMSOL for obtaining the quantum mechanics wave function Ψ(x,y,z,t) as a solution to the time dependent Schrödinger equation. Once having Ψ(x,y,z,t), it can be used to compute the probability of a particle being in a specific zone within the spatial field under consideration. Two problems are solved to illustrate solving Schrödinger's equation. Firstly, a simple 2-D bar tests the FEM time dependent wave propagation of Ψ. At atomic scales, the location in space of entities such as electrons, have dual behavioral characteristics, where they act both as a particle and a wave. The second example illustrates this wave like behavior by employing a barrier model with two embedded slits.