论文标题
三维Q构造的欧几里得空间上的量子动力学
Quantum Dynamics on the three-dimensional q-deformed Euclidean Space
论文作者
论文摘要
我通过一个时间元素扩展了三维Q构造的欧几里得空间，并讨论了该量子空间的代数结构以及其差分计算。使用星形形式主义，我将对具有时间元素的Q形式的欧几里得空间进行Q形式分析的基本操作。我表明，生活在Q形成的欧几里得空间中的量子系统的时间进化运算符的形式与未构造的情况相同。这些原因还表明，众所周知的量子动力学方法适用于生活在Q构造的欧几里得空间中的量子系统。
I extend the three-dimensional q-deformed Euclidean space by a time element and discuss the algebraic structure of this quantum space together with its differential calculi. Using the star-product formalism, I will give basic operations of q-deformed analysis for the q-deformed Euclidean space with a time element. I show that the time-evolution operator of a quantum system living in the q-deformed Euclidean space is of the same form as in the undeformed case. The reasonings also show that the well-known methods of quantum dynamics apply to quantum systems living in the q-deformed Euclidean space.
