Volume 62, Number 3, May 2003
|Page(s)||299 - 305|
|Published online||01 April 2003|
Angular confinement, non-integral quantum numbers, and controllable degeneracies
Department of Physics, Worcester Polytechnic Institute
100 Institute Road, Worcester, MA 01609, USA
2 Mads Clausen Institute, University of Southern Denmark Grundtvigs Alle 150, DK-6400 Sønderborg, Denmark
Corresponding author: email@example.com
Accepted: 4 March 2003
We have explored consequences of angular confinement in three-dimensional quantum dots. This leads to the need for associated Legendre functions and the phenomenon of non-integral quantum numbers. Constraints on allowed and independent μ and ν values are obtained; in particular, we prove that . We have also obtained controllable degeneracies.
PACS: 03.65.-w – Quantum mechanics / 02.90.+p – Other topics in mathematical methods in physics / 73.22.-f – Electronic structure of nanoscale materials: clusters, nanoparticles, nano-tubes, and nanocrystals
© EDP Sciences, 2003
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