# The 3-dimensional q-deformed harmonic oscillator and magic numbers of alkali metal clusters

@article{Bonatsos1999The3Q, title={The 3-dimensional q-deformed harmonic oscillator and magic numbers of alkali metal clusters}, author={Dennis Bonatsos and N. Karoussos and P. P. Raychev and R. P. Roussev and P. A. Terziev}, journal={Chemical Physics Letters}, year={1999}, volume={302}, pages={392-398} }

Abstract 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…

## 10 Citations

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