Applications of the quon algebra: 3-D harmonic oscillator and the rotor model

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• 作者：Avancini ; S.S. ; Marinelli ; J.R. ; de O. Rodrigues ; C.E.
• 关键词：03.65.Fd ; 21.60.Fw ; Quon algebra ; Quonic oscillator ; Rotor model
• 刊名：Physics Letters A
• 出版年：2002
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：May 13, 2002
• 卷：297
• 期：3-4
• 页码：137-145
• 文件大小：87.2 K

摘要

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.