Two Dimensional Schrodinger Equation
written by Jose Ignacio Fernández Palop
The Two Dimensional Schrodinger Equation model simulates the time evolution of a two-dimensional wave packet as it moves towards a slit with an obstacle in it, both with variable widths. By changing three parameters via sliders provided, slit width, obstacle width, and initial position of the wave packet, different behaviors can be explored. These phenomena include interference, diffraction produced by a slit, a corner, and an obstacle, and bouncing of the wave packet. In addition, the angle of propagation for the diffracted part of the wave packet can be measured.
This simulation is described by a paper in the European Journal of Physics, "A versatile applet to explore the wave behaviour of particles, " J I Fernández Palop, 2009 Eur. J. Phys. 30 771, which outlines the simulation and how the usefulness of the simulation has been tested in the subject of quantum physics.
The Two Dimensional Schrodinger Equation model was created using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_qm_schrodinger2d.jar file will run the program if Java is installed.
Please note that this resource requires at least version 1.5 of Java (JRE).
View the source code document attached to this resource
Source Code for the Two Dimensional Schrodinger Equation program.
download 13kb .zip
Rights: This material is released under the Creative Commons Attribution-Noncommercial-Share Alike 3.0.
Published: July 15, 2010
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Two Dimensional Schrodinger Equation:
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 Two Dimensional Schrodinger Equation.relation by Mario Belloni
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