Applied and Computational Mathematics Seminar
Approximating the Wavefunction of the Multiparticle Schrodinger equation, by Martin J. Mohlenkamp (Ohio University, Mathematics)
| What |
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|---|---|
| When |
Sep 29, 2008 from 04:10 pm to 05:00 pm |
| Where | Morton Hall 227 |
| Contact Name | Martin Mohlenkamp |
| Contact Email | mjm@math.ohiou.edu |
| Contact Phone | 740-593-1259 |
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Abstract: The multiparticle Schrodinger equation is the basic governing equation in Quantum Mechanics. Its solution, called a wavefunction, is a function of many variables and is constrained to be antisymmetric under exchange of these variables. I will show how to use antisymmetric inner products to incorporate the antisymmetry condition into a representation of the wavefunction as a sum of separable functions. We will then consider how to incorporate the potential operators into such inner products, and finally construct a Green's function iteration to produce an approximate wavefunction.
