Separability and dynamical symmetry of Quantum Dots
Abstract
The separability and RungeLenztype dynamical symmetry of the internal dynamics of certain twoelectron Quantum Dots, found by Simonović et al. (2003), are traced back to that of the perturbed Kepler problem. A large class of axially symmetric perturbing potentials which allow for separation in parabolic coordinates can easily be found. Apart from the 2:1 anisotropic harmonic trapping potential considered in Simonović and Nazmitdinov (2013), they include a constant electric field parallel to the magnetic field (Stark effect), the ringshaped Hartmann potential, etc. The harmonic case is studied in detail.
 Publication:

Annals of Physics
 Pub Date:
 February 2014
 DOI:
 10.1016/j.aop.2013.11.004
 arXiv:
 arXiv:1308.3035
 Bibcode:
 2014AnPhy.341...94Z
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Quantum Physics
 EPrint:
 32 pages, many figures