| Issue |
Europhys. Lett.
Volume 62, Number 3, May 2003
|
|
|---|---|---|
| Page(s) | 299 - 305 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2003-00395-x | |
| Published online | 01 April 2003 | |
Angular confinement, non-integral quantum numbers, and controllable degeneracies
1
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: llew@wpi.edu
Received:
23
October
2002
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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