Deformed Harmonic Oscillators for Metal Clusters and Balian-Bloch Theory

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dc.creatorBonatsos, Dennis
dc.creatorLenis, D.
dc.creatorRaychev, P. P.
dc.creatorTerziev, P. A.
dc.date2003-11-27
dc.date.accessioned2026-07-07T09:55:07Z
dc.date.available2026-07-07T09:55:07Z
dc.descriptionThe predictions for the shell structure of metal clusters of the three-dimensional q-deformed harmonic oscillator (3D q-HO), utilizing techniques of quantum groups and having the symmetry Uq(3)$\supset$SOq(3), are compared to the restrictions imposed by the periodic orbit theory of Balian and Bloch, of electrons moving in a spherical cavity. It is shown that agreement between the predictions of the two models is established through the introduction of an additional term to the Hamiltonian of the 3D q-HO, which does not influence the predictions for supershells. This term preserves the Uq(3)$\supset$SOq(3) symmetry, while in addition it can be derived through a variational procedure, analogous to the one leading from the usual harmonic oscillator to the Morse oscillator by introducing the concept of the Variable Frequency Oscillator (VFO).
dc.description15 pages, LaTeX, 6 postscript figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0311191
dc.identifierhttp://arxiv.org/abs/quant-ph/0311191
dc.identifierProgress in Theoretical Chemistry and Physics Vol 12, Advanced Topics in Theoretical Chemical Physics, ed. J. Maruani, R. Lefebvre, and E. Brandas (Kluwer, Dordrecht, 2003) 409-428
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166559
dc.subjectQuantum Physics
dc.titleDeformed Harmonic Oscillators for Metal Clusters and Balian-Bloch Theory
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