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

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

2002-11-27

arxiv.org/abs/cond-mat/0211631v1

Physics

Condensed Matter

6 pages, 3 figures in a gif format

Scientific paper

10.1103/PhysRevB.67.041305

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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