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29 March 2024
 
  » arxiv » 0910.2209

 Article overview


Atoms as perfect oscillators?
Gabriel J. Gil Perez ; Augusto Gonzalez ;
Date 12 Oct 2009
AbstractBy 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 hbaromega 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.
Source arXiv, 0910.2209
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