The 3-Dimensional q-Deformed Harmonic Oscillator and Magic Numbers of Alkali Metal Clusters

Magic numbers predicted by a 3-dimensional q-deformed harmonic oscillator with Uq(3) > SOq(3) symmetry are compared to experimental data for alkali metal clusters, as well as to theoretical predictions of jellium models, Woods--Saxon and wine bottle potentials, and to the classification scheme us...

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Veröffentlicht in:	arXiv.org 1999-09
Hauptverfasser:	Bonatsos, Dennis, Karoussos, N, Raychev, P P, Roussev, R P, Terziev, P A
Format:	Artikel
Sprache:	eng
Schlagworte:	Alkali metals Deformation Harmonic oscillators Jellium Metal clusters Oscillators Predictions Spherical harmonics Symmetry
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creator	Bonatsos, Dennis Karoussos, N Raychev, P P Roussev, R P Terziev, P A
description	Magic numbers predicted by a 3-dimensional q-deformed harmonic oscillator with Uq(3) > SOq(3) symmetry are compared to experimental data for alkali metal clusters, as well as to theoretical predictions of jellium models, Woods--Saxon and wine bottle potentials, and to the classification scheme using the 3n+l pseudo quantum number. The 3-dimensional q-deformed harmonic oscillator correctly predicts all experimentally observed magic numbers up to 1500 (which is the expected limit of validity for theories based on the filling of electronic shells), thus indicating that Uq(3), which is a nonlinear extension of the U(3) symmetry of the spherical (3-dimensional isotropic) harmonic oscillator, is a good candidate for being the symmetry of systems of alkali metal clusters.
doi_str_mv	10.48550/arxiv.9909002
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The 3-dimensional q-deformed harmonic oscillator correctly predicts all experimentally observed magic numbers up to 1500 (which is the expected limit of validity for theories based on the filling of electronic shells), thus indicating that Uq(3), which is a nonlinear extension of the U(3) symmetry of the spherical (3-dimensional isotropic) harmonic oscillator, is a good candidate for being the symmetry of systems of alkali metal clusters.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.9909002</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Alkali metals ; Deformation ; Harmonic oscillators ; Jellium ; Metal clusters ; Oscillators ; Predictions ; Spherical harmonics ; Symmetry</subject><ispartof>arXiv.org, 1999-09</ispartof><rights>1999. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). 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subjects	Alkali metals Deformation Harmonic oscillators Jellium Metal clusters Oscillators Predictions Spherical harmonics Symmetry
title	The 3-Dimensional q-Deformed Harmonic Oscillator and Magic Numbers of Alkali Metal Clusters
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