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

S. S. Avancini·J. R. Marinelli·C. E. de O. Rodrigues
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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.

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S. S. Avancini, J. R. Marinelli, C. E. de O. Rodrigues. 2001-09-19. Applications of the Quon Algebra: 3-D Harmonic Oscillator and the Rotor Model. https://doi.org/10.1016/s0375-9601(01)00829-5

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