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Hidden symmetries of two-electron quantum dots in a magnetic field

N. S. Simonovic·R. G. Nazmitdinov
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Abstract

Using a classical and quantum mechanical analysis, we show that the magnetic field gives rise to dynamical symmetries of a three-dimensional axially symmetric two-electron quantum dot with a parabolic confinement. These symmetries manifest themselves as near-degeneracies in the quantum spectrum at specific values of the magnetic field and are robust at any strength of the electron-electron interaction.

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N. S. Simonovic, R. G. Nazmitdinov. 2002-11-27. Hidden symmetries of two-electron quantum dots in a magnetic field. https://doi.org/10.1103/physrevb.67.041305

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