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 Equation Demonstration
download 1810kb .jar Published: August 8, 2014 previous versions
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
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=13331">Christian, W, F. Esquembre, and M. Belloni. "Two-Dimensional Time-Dependent Schrödinger Equation Model." Version 1.0.</a>
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 December 14, 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 14 December 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. 14 Dec. 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 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.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. This resource is stored in a shared folder. You must login to access shared folders. 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 ChristianKnow of another related resource? Login to relate this resource to it. |
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