English

Applications of the Quon Algebra: 3-D Harmonic Oscillator and the Rotor Model

Quantum Physics 2009-11-07 v1 Quantum Algebra Nuclear Theory

Abstract

In this work we present a method to build in a systematic way a many-body quon basis state. In particular, we show a closed expression for a given number N of quons, restricted to the permutational symmetric subspace, which belongs to the whole quonic space. The method is applied to two simple problems: the three-dimensional harmonic oscillator and the rotor model and compared to previous quantum algebra results. The differences obtained and possible future applications are also discussed.

Keywords

Cite

@article{arxiv.quant-ph/0109095,
  title  = {Applications of the Quon Algebra: 3-D Harmonic Oscillator and the Rotor Model},
  author = {S. S. Avancini and J. R. Marinelli and C. E. de O. Rodrigues},
  journal= {arXiv preprint arXiv:quant-ph/0109095},
  year   = {2009}
}

Comments

13 pages, 2 figures