论文标题
$ Q $ -Gaussians的双重和共轭系统，用于所有$ Q $
A dual and conjugate system for $q$-Gaussians for all $q$
论文作者
论文摘要
我们为双重系统以及在$ Q $ $ Q $ formed的Fock Space上代表的$ Q $ -Gaussians提供了混凝土公式。此外，使用此公式，我们证明存在免费的Gibbs潜力，并且非晶状体免费Fisher信息对于任何$ Q $，$ -1 <q <1 $都是有限的，这是Y. Dabrowski先前结果的改进。我们还指出了我们的结果如何扩展到更一般的混合$ q_ {ij} $ - 关系。
We provide a concrete formula for a dual system as well as for a conjugate system of $q$-Gaussians represented on the $q$-deformed Fock space. Moreover, using this formula, we prove the existence of a free Gibbs potential and that the non-microstates free Fisher information is finite for any $q$ with $-1<q<1$, which is an improvement on a previous result of Y. Dabrowski. We also indicate how our results can be extended to the more general setting of mixed $q_{ij}$-relations.
