Eigenvalue problems of a two-dimensional Schrodinger operator with nonparabolic effective mass

In this paper, we study the eigenvalue problem for the Schrodinger operator on a two dimensional disk with nonparabolic effective mass approximation. Here the effective mass depends on the energy states. Our results mainly concern with the number of energy states lying in a wire and the monotonicity of energy states with respect to the depth of the wire. (C) 2004 American Institute of Physics.