Two-Dimensional Time-Dependent Schrödinger Equation Model
written by
Wolfgang Christian, Francisco Esquembre, and Mario Belloni
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 Model
A simple version of the Time-Dependent Schrödinger simulation without expectation value graphs. download 1742kb .jar
Last Modified: October 17, 2017
previous versions
Parallel Programming Tutorial
A step-by-step introduction to parallel programming in Java using EJS. download 2083kb .pdf
Last Modified: December 22, 2017
Parallel Two-Dimensional Time-Dependent Schrödinger Equation Demonstration Source Code
The source code zip archive contains an XML representation of the Parallel Two-Dimensional Time-Dependent Schrödinger Equation Demonstration. Unzip this archive in your EjsS workspace to compile and run this Java model using EjsS ver 5. download 59kb .zip
Last Modified: October 17, 2017
previous versions
Parallel Two-Dimensional Time-Dependent Schrödinger Source Code
The source code zip archive containing an EJS-XML representation of the simple version of the Time-Dependent Schrödinger simulation without expectation value graphs. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 53kb .zip
Last Modified: October 17, 2017
previous versions
<a href="https://www.compadre.org/OSP/items/detail.cfm?ID=13331">Christian, W, F. Esquembre, and M. Belloni. "Two-Dimensional Time-Dependent Schrödinger Equation Model." Version 1.0.</a>
W. Christian, F. Esquembre, and M. Belloni, Computer Program TWO-DIMENSIONAL TIME-DEPENDENT SCHRÖDINGER EQUATION MODEL, Version 1.0 (2014), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888).
W. Christian, F. Esquembre, and M. Belloni, Computer Program TWO-DIMENSIONAL TIME-DEPENDENT SCHRÖDINGER EQUATION MODEL, Version 1.0 (2014), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888>.
Christian, W., Esquembre, F., & Belloni, M. (2014). Two-Dimensional Time-Dependent Schrödinger Equation Model (Version 1.0) [Computer software]. Retrieved October 8, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888
Christian, W, F. Esquembre, and M. Belloni. "Two-Dimensional Time-Dependent Schrödinger Equation Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888 (accessed 8 October 2024).
@misc{
Author = "Wolfgang Christian and Francisco Esquembre and Mario Belloni",
Title = {Two-Dimensional Time-Dependent Schrödinger Equation Model},
Month = {August},
Year = {2014}
}
%A Wolfgang Christian %A Francisco Esquembre %A Mario Belloni %T Two-Dimensional Time-Dependent Schrödinger Equation Model %D August 8, 2014 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888 %O 1.0 %O application/java
%0 Computer Program %A Christian, Wolfgang %A Esquembre, Francisco %A Belloni, Mario %D August 8, 2014 %T Two-Dimensional Time-Dependent Schrödinger Equation Model %7 1.0 %8 August 8, 2014 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888
Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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.
2 source code documents are available
Record Link
Save to my folders
