dorsal/arxiv
View SchemaUnified description of magic numbers of metal clusters in terms of the 3-dimensional q-deformed harmonic oscillator
| Authors | D. Bonatsos, N. Karoussos, D. Lenis, P. P. Raychev, R. P. Roussev, P. A. Terziev |
|---|---|
| Categories | |
| ArXiv ID | physics/0105098 |
| URL | https://arxiv.org/abs/physics/0105098 |
| DOI | 10.1103/PhysRevA.62.013203 |
| Journal | Phys.Rev.A62:013203,2000 |
Abstract
Magic numbers predicted by a 3-dimensional q-deformed harmonic oscillator with Uq(3)>SOq(3) symmetry are compared to experimental data for atomic clusters of alkali metals (Li, Na, K, Rb, Cs), noble metals (Cu, Ag, Au), divalent metals (Zn, Cd), and trivalent metals (Al, In), 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. In alkali metal clusters and noble metal clusters 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), while in addition it gives satisfactory results for the magic numbers of clusters of divalent metals and trivalent metals, 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 several metal clusters. The Taylor expansions of angular momentum dependent potentials approximately producing the same spectrum as the 3-dimensional q-deformed harmonic oscillator are found to be similar to the Taylor expansions of the symmetrized Woods-Saxon and wine-bottle symmetrized Woods-Saxon potentials, which are known to provide successful fits of the Ekardt potentials.
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"abstract": "Magic numbers predicted by a 3-dimensional q-deformed harmonic oscillator\nwith Uq(3)\u003eSOq(3) symmetry are compared to experimental data for atomic\nclusters of alkali metals (Li, Na, K, Rb, Cs), noble metals (Cu, Ag, Au),\ndivalent metals (Zn, Cd), and trivalent metals (Al, In), as well as to\ntheoretical predictions of jellium models, Woods-Saxon and wine bottle\npotentials, and to the classification scheme using the 3n+l pseudo quantum\nnumber. In alkali metal clusters and noble metal clusters the 3-dimensional\nq-deformed harmonic oscillator correctly predicts all experimentally observed\nmagic numbers up to 1500 (which is the expected limit of validity for theories\nbased on the filling of electronic shells), while in addition it gives\nsatisfactory results for the magic numbers of clusters of divalent metals and\ntrivalent metals, thus indicating that Uq(3), which is a nonlinear extension of\nthe U(3) symmetry of the spherical (3-dimensional isotropic) harmonic\noscillator, is a good candidate for being the symmetry of systems of several\nmetal clusters. The Taylor expansions of angular momentum dependent potentials\napproximately producing the same spectrum as the 3-dimensional q-deformed\nharmonic oscillator are found to be similar to the Taylor expansions of the\nsymmetrized Woods-Saxon and wine-bottle symmetrized Woods-Saxon potentials,\nwhich are known to provide successful fits of the Ekardt potentials.",
"arxiv_id": "physics/0105098",
"authors": [
"D. Bonatsos",
"N. Karoussos",
"D. Lenis",
"P. P. Raychev",
"R. P. Roussev",
"P. A. Terziev"
],
"categories": [
"physics.atm-clus",
"math-ph",
"math.MP",
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.013203",
"journal_ref": "Phys.Rev.A62:013203,2000",
"title": "Unified description of magic numbers of metal clusters in terms of the 3-dimensional q-deformed harmonic oscillator",
"url": "https://arxiv.org/abs/physics/0105098"
},
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