$q$ -变形相空间的几何
The Geometry of a $q$-Deformed Phase Space
摘要：
研究了$q$变形线的几何性质。介绍了一种实微分学，并给出了在希尔伯特空间上表示的形式代数.发现存在一个自然度规，其对应的线性联络是零曲率的。度量，这是正式定义的微分形式，在这个简单的情况下，可识别为一个观察。
英文摘要：
The geometry of the $q$-deformed line is studied. A real differential calculus is introduced and the associated algebra of forms represented on a Hilbert space. It is found that there is a natural metric with an associated linear connection which is of zero curvature. The metric, which is formally defined in terms of differential forms, is in this simple case identifiable as an observable.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
