Deformed Harmonic Oscillators for Metal Clusters and Balian-Bloch Theory
作者： Dennis Bonatsos , D. Lenis , P. P. Raychev , P. A. Terziev
DOI: 10.1007/978-94-017-0635-3_16
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摘要: The predictions for the shell structure of metal clusters three-dimensional q-deformed harmonic oscillator (3D q-HO), utilizing techniques quantum groups and having symmetry u q (3) ⊃ so (3), are compared to restrictions imposed by periodic orbit theory Balian Bloch, electrons moving in a spherical cavity. It is shown that agreement between two models established through introduction an additional term Hamiltonian 3D q-HO, which does not influence supershells. This preserves symmetry, while addition it can be derived variational procedure, analogous one leading from usual Morse introducing concept Variable Frequency Oscillator (VFO).
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