Finite Element Analysis of the Schroedinger Equation

Details Finite Element Analysis of the Schroedinger Equation Finite Element Analysis of the Schroedinger Equation

2007-04-17

arxiv.org/abs/0704.3240v1

Physics

High Energy Physics

High Energy Physics - Lattice

Computational Analysis of Schroedinger Equation

Scientific paper

The purpose of this work is to test the application of the finite element method to quantum mechanical problems, in particular for solving the Schroedinger equation. We begin with an overview of quantum mechanics, and standard numerical techniques. We then give an introduction to finite element analysis using the diffusion equation as an example. Three numerical time evolution methods are considered: the (tried and tested) Crank-Nicolson method, the continuous space-time method, and the discontinuous space-time method.

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