Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model

written by
Wolfgang Christian

The Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model implements a staggered-time algorithm in which the real and imaginary parts of the wave function on a 2D grid are defined at alternate times as described by Visscher. Because each part of the wave function (real or imaginary) depends on the other part, the update loop can be parallelized. The algorithm is well suited for pedagogic applications because it is second-order accurate in time and has the speed and simplicity of explicit methods and the accuracy and stability of second-order implicit methods, such as Crank-Nicholson.

The Parallel Two-Dimensional Ising Model was developed by Wolfgang Christian using the Easy Java/JavaScript Simulations (EjsS) version 5 modeling tool. It is based on a Java program from An Introduction to Computer Simulation Methods and is distributed as a ready-to-run Java program (jar file) and as EjsS source code (xml file).

Please note that this resource requires
at least version 1.7 of
Java (JRE).

Parallel Two-Dimensional Time-Dependent Schrödinger Equation Source Code
The source code zip archive contains an XML representation of the Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model. Unzip this archive in your EjsS workspace to compile and run this Java model using EjsS ver 5. download 12kb .zip
Last Modified: August 8, 2014

W. Christian, Computer Program PARALLEL TWO-DIMENSIONAL TIME-DEPENDENT SCHRÖDINGER EQUATION MODEL, Version 1.0 (2014), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888>.

Christian, W. (2014). Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model (Version 1.0) [Computer software]. Retrieved May 30, 2016, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888

%A Wolfgang Christian %T Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model %D August 8, 2014 %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888 %O 1.0 %O application/java

%0 Computer Program %A Christian, Wolfgang %D August 8, 2014 %T Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model %7 1.0 %8 August 8, 2014 %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888

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The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model.