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Open Quantum Systems Decoherence
Quantum Simulation
On the symmetry of the quantum-mechanical particle in a cubic box
arXiv
Authors: Francisco M. Fernández
Year
2013
Paper ID
32157
Status
Preprint
Abstract Read
~2 min
Abstract Words
83
Citations
N/A
Abstract
In this paper we show that the point-group (geometrical) symmetry is insufficient to account for the degeneracy of the energy levels of the particle in a cubic box. The discrepancy is due to hidden (dynamical symmetry). We obtain the operators that commute with the Hamiltonian one and connect eigenfunctions of different symmetries. We also show that the addition of a suitable potential inside the box breaks the dynamical symmetry but preserves the geometrical one.The resulting degeneracy is that predicted by point-group symmetry.
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- In this paper we show that the point-group (geometrical) symmetry is insufficient to account for the degeneracy of the energy levels of the particle in a cubic box.
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