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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 the each part of the wave fucntion (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).
View the source code document attached to this resource
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
Record Cloner:
Metadata instance created August 8, 2014 by Wolfgang Christian
Record Updated:
August 8, 2014 by Wolfgang Christian
Last Update
when Cataloged:
August 8, 2014
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Record Link
AIP Format
W. Christian, Computer Program PARALLEL TWO-DIMENSIONAL TIME-DEPENDENT SCHRÖDINGER EQUATION MODEL, Version 1.0 (2014), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888).
AJP/PRST-PER
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>.
APA Format
Christian, W. (2014). Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model (Version 1.0) [Computer software]. Retrieved December 18, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888
Chicago Format
Christian, Wolfgang. "Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888 (accessed 18 December 2014).
MLA Format
Christian, Wolfgang. Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model. Vers. 1.0. Computer software. 2014. Java (JRE) 1.7. 18 Dec. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13331&DocID=3888>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model}, Month = {August}, Year = {2014} }
Refer Export Format

%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

EndNote Export Format

%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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Parallel 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.

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