Circular Well Model

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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.

.jar

download 1775kb .jar
Last Modified: June 3, 2014
previous versions

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

Categories	Intended Users	Ratings
- Tutorial	- Learners - Educators	Currently 0.0/5 Want to rate this material? Login here!

Format:: application/java
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:: The PSRC

The Open Source Physics

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ComPADRE is beta testing Citation Styles!

Record Link

<a href="https://www.compadre.org/quantum/items/detail.cfm?ID=9639">Christian, Wolfgang. "Circular Well Model." Version 1.0.</a>

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 October 3, 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 3 October 2024).

MLA Format

Christian, Wolfgang. Circular Well Model. Vers. 1.0. Computer software. 2009. Java 1.5. 3 Oct. 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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