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Paper detail

Separability and Dynamical Symmetry of Quantum Dots

The separability and Runge-Lenz-type dynamical symmetry of the internal dynamics of certain two-electron Quantum Dots, found by Simonović et al. [1], is 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 of the 2:1 anisotropic harmonic trapping potential considered in [1], they include a constant electric field parallel to the magnetic field (Stark effect), the ring-shaped Hartmann potential, etc. The harmonic case is studied in detail.

preprint2013arXivOpen access
P. -M. ZhangL. -P. ZouP. A. HorvathyG. W. Gibbons
math-phmath.MPhep-thquant-ph
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P. -M. ZhangL. -P. ZouP. A. HorvathyG. W. Gibbons

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