量子、相干态与纠缠算符
Quons, coherent states and intertwining operators
摘要：
我们提出了一个微分表示的运营商满足q-突变关系$BB^\dagger-q B^\dagger B=\1$，推广了最近的结果由Eremin和Meldianov，我们详细讨论了这种选择的限制$q\to1$。进一步，我们建立了与自由准子哈密顿量$h_1=B^\dagger B$相关的非线性Gazeau-Klauder相干态。最后利用作者最近提出的关于交织算子的结果构造了几乎等谱拟Hamilton算子。
英文摘要：
We propose a differential representation for the operators satisfying the q-mutation relation $BB^\dagger-q B^\dagger B=\1$ which generalizes a recent result by Eremin and Meldianov, and we discuss in detail this choice in the limit $q\to1$. Further, we build up non-linear and Gazeau-Klauder coherent states associated to the free quonic hamiltonian $h_1=B^\dagger B$. Finally we construct almost isospectrals quonic hamiltonians adopting the results on intertwining operators recently proposed by the author.
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