Atoms as perfect oscillators?

Details Atoms as perfect oscillators? Atoms as perfect oscillators?

2009-10-12

arxiv.org/abs/0910.2209v1

Revista Iberoamericana de Fisica, Vol. 6, pag. 41, 2010

Physics

Atomic Physics

In spanish

Scientific paper

By using Supersymmetric Quantum Mechanics and Semiclassical Quantization, one may argue that the low-lying excited states of any quantum system can be modeled by a set of harmonic oscillators. In the present paper, we fit the experimental excitation spectra of atoms with atomic number 2< Z< 36 to a simple harmonic oscillator model with two parameters: the number of degrees of freedom, d, and the effective frequency, \omega. The obtained \hbar\omega takes values around 0.03 (in atomic units), whereas d shows clear shell filling effects, that is, takes high values for the noble gases, suggesting collective oscillations of the electrons occupying the last shell.

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