Abstract
In this paper, we study the eigenvalue problem for the Schrödinger 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.
Original language | English |
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Pages (from-to) | 576-584 |
Number of pages | 9 |
Journal | Journal of Mathematical Physics |
Volume | 45 |
Issue number | 2 |
DOIs | |
State | Published - 1 Feb 2004 |