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Teaching Quantum Mechanics with Mathematica
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Organization: | University of Cincinnati |
Department: | Department of Physics |
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2006 Wolfram Technology Conference
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Champaign IL
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Students often struggle when first introduced to quantum mechanics. They find the subject both mathematically difficult and counterintuitive. Since we live in a universe in which ℏ is small, it is very difficult to develop a quantum intuition. Mathematica is an excellent tool for addressing both of these issues. I will discuss the use of Mathematica in introductory quantum mechanics at the University of Cincinnati. I will focus on one-dimensional quantum mechanics and give examples of using Mathematica as a tool for both computation and visualization. Using Mathematica students can relatively easily simulate problems of current experimental interest. I will also give several examples of using the new features in Mathematica 6.0 to build custom interfaces for doing one-dimensional quantum mechanics. Much of this material has been developed under the auspices of an NSF Cyber-Infrastructure grant and I will briefly discuss how this work fits into a broader statewide effort to develop new course materials in computational science.
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quantum mechanics, quantum scattering, Schroedinger equation, wave packets
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| Quantum.zip (2 MB) - ZIP archive [for Mathematica 6.0] |
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