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Paper: Effective Hamiltonians and Quantum States
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Effective Hamiltonians and Quantum States
Authors: Lawrence C. Evans, Department of Mathematics, University of California, Berkeley, CA 94720
Uploaded by:
bci1
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- Comments:
- 13 pages, Seminar Ecole Polytechnique 2000-2001
- Abstract:
- Following earlier work on effective Hamiltonians the paper presents a Lipschitz continuous function u for solving the eikonal equation, and also a probability measure solving a related transport equation. The paper then shows how to build out of such quantum states u and u~ an approximate solution of the stationary Schr\"odinger eigenvalue problem.
http://math.berkeley.edu/~evans/Effective.quantum.pdf http://math.berkeley.edu/~evans/
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Open access and PDF file online download at: http://math.berkeley.edu/~evans/Effective.quantum.pdf http://math.berkeley.edu/~evans/
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Pending Errata and Addenda
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