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/
