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Circular Well Model
written by Wolfgang Christian
The Circular Well model displays the 2D energy eigenstates of a particle trapped in a very deep two-dimensional circular well.  Because the Schrödinger equation for this system is separable into radial and angular differential equations, the solution can be expressed as a product of a Bessel function and and a complex exponential.

The Circular Well model is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_qm_CircularWell.jar file will run the program if Java is installed.  You can modify this simulation if you have EJS installed by right-clicking within the plot and selecting "Open EJS Model" from the pop-up menu item.

Please note that this resource requires at least version 1.5 of Java.
1 source code document is available
Subjects Levels Resource Types
Education Practices
- Active Learning
Mathematical Tools
- Series and Functions
Quantum Physics
- Bound State Systems
- 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 GNU General Public License Version 3 license.
Rights Holder:
Wolfgang Christian
Keywords:
energy eigenfunctions, energy eigenstates, infinite square well, quantum mechanics
Record Cloner:
Metadata instance created November 12, 2009 by Wolfgang Christian
Record Updated:
November 21, 2015 by Bruce Mason
Last Update
when Cataloged:
November 10, 2009
Other Collections:

ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
W. Christian, Computer Program CIRCULAR WELL MODEL, Version 1.0 (2009), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9639&DocID=1404).
AJP/PRST-PER
W. Christian, Computer Program CIRCULAR WELL MODEL, Version 1.0 (2009), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9639&DocID=1404>.
APA Format
Christian, W. (2009). Circular Well Model (Version 1.0) [Computer software]. Retrieved March 19, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9639&DocID=1404
Chicago Format
Christian, Wolfgang. "Circular Well Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9639&DocID=1404 (accessed 19 March 2024).
MLA Format
Christian, Wolfgang. Circular Well Model. Vers. 1.0. Computer software. 2009. Java 1.5. 19 Mar. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9639&DocID=1404>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Circular Well Model}, Month = {November}, Year = {2009} }
Refer Export Format

%A Wolfgang Christian %T Circular Well Model %D November 10, 2009 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9639&DocID=1404 %O 1.0 %O application/java

EndNote Export Format

%0 Computer Program %A Christian, Wolfgang %D November 10, 2009 %T Circular Well Model %7 1.0 %8 November 10, 2009 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9639&DocID=1404


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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.

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Circular Well 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 Circular Well Model.

relation by Wolfgang Christian

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