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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).
2 source code documents are available
Subjects Levels Resource Types
Education Practices
- Active Learning
Quantum Physics
- Bound State Systems
- Foundations and Measurements
= Time Dependence
= Wave Functions
- General
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
= Lecture/Presentation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Rights Holder:
Wolfgang Christian
Keywords:
parallel Java, parallel computation, parallel programming
Record Cloner:
Metadata instance created August 8, 2014 by Wolfgang Christian
Record Updated:
December 22, 2017 by Wolfgang Christian
Last Update
when Cataloged:
August 8, 2014
Other Collections:

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Record Link
AIP Format
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).
AJP/PRST-PER
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>.
APA Format
Christian, W., Esquembre, F., & Belloni, M. (2014). Two-Dimensional Time-Dependent Schrödinger Equation Model (Version 1.0) [Computer software]. Retrieved March 19, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888
Chicago Format
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 19 March 2024).
MLA Format
Christian, Wolfgang, Francisco Esquembre, and Mario Belloni. Two-Dimensional Time-Dependent Schrödinger Equation Model. Vers. 1.0. Computer software. 2014. Java (JRE) 1.7. 19 Mar. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian and Francisco Esquembre and Mario Belloni", Title = {Two-Dimensional Time-Dependent Schrödinger Equation Model}, Month = {August}, Year = {2014} }
Refer Export Format

%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

EndNote Export Format

%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


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Two-Dimensional Time-Dependent Schrödinger Equation Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

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.

relation by Wolfgang Christian

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