The 3dimensional qdeformed harmonic oscillator and magic numbers of alkali metal clusters
Abstract
Magic numbers predicted by a 3dimensional qdeformed harmonic oscillator with u _{q}(3)⊃so _{q}(3) symmetry are compared to experimental data for alkali metal clusters, as well as to theoretical predictions of jellium models, WoodsSaxon and winebottle potentials, and to the classification scheme using the 3 n+ l pseudoquantum number. The 3dimensional qdeformed 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 u _{q}(3), which is a nonlinear extension of the u(3) symmetry of the spherical (3dimensional isotropic) harmonic oscillator, is a good candidate for being the symmetry of systems of alkali metal clusters.
 Publication:

Chemical Physics Letters
 Pub Date:
 March 1999
 DOI:
 10.1016/S00092614(99)001992
 arXiv:
 arXiv:quantph/9909002
 Bibcode:
 1999CPL...302..392B
 Keywords:

 Quantum Physics
 EPrint:
 13 pages, LaTeX