Quon代数的应用:三维谐振子和转子模型
Applications of the Quon Algebra: 3-D Harmonic Oscillator and the Rotor Model
摘要:
在这项工作中,我们提出了一种方法来建立一个系统的方式多体量子基态。特别是,我们显示了一个封闭的表达式为一个给定的数量N的quons,仅限于置换对称子空间,它属于整个quonic空间。该方法适用于两个简单的问题:三维谐振子和转子模型,并与以前的量子代数结果进行比较。所获得的差异和可能的未来应用进行了讨论。
英文摘要:
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.
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