The Action-Dependent Wave Function Problem: Well Posedness and Efficient

Numerical Solutions

A. J. Meir

Department of Mathematics and Statistics

232 Parker Hall

Auburn University

Auburn, AL 36830

Irad Yavneh

We describe some results for a mixed (elliptic-hyperbolic) partial

differential equation and an efficient multigrid algorithm for its

numerical solution. The problem models an equation which arises in

atomic physics and describes a new object: an ``action-dependent wave

function.''