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 |
|---|---|
| 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 |
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Lin, W-W., & Shieh, S. F. (2004). Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass. Journal of Mathematical Physics, 45(2), 576-584. https://doi.org/10.1063/1.1641151