The geometry of a q-deformed phase space
The geometry of a q-deformed phase space
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q 变形相空间的几何形状
DOI：
10.1007/s100529901096
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
Julius Wess
中科院分区：
文献类型：
--
作者：
B. L. Cerchiai;R. Hinterding;John Madore;Julius Wess
研究了q变形线的几何形状。引入了一种实微积分，并在Hilbert空间上表示了相应的形式代数。我们发现存在一个自然度量，它有一个与之相关的零曲率的线性联络。度量是用微分形式正式定义的，在这个简单的情况下，它是可被识别为可观测的。
The geometry of theq-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.