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Paper: Effective Hamiltonians and Quantum States

Effective Hamiltonians and Quantum States

Authors: Lawrence C. Evans, Department of Mathematics, University of California, Berkeley, CA 94720

Uploaded by: bci1

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/
Rights:
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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Effquan.pdf  
Links:
Physics Classification00. (GENERAL)
 02. (Mathematical methods in physics)
 03. (Quantum mechanics, field theories, and special relativity )
Pending Errata and Addenda
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