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arXiv math-ph/0312040math-phmath.MP
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精确可解量子系统的广义相干态和智能态

Generalized coherent and intelligent states for exact solvable quantum systems

A. H. El Kinani, M. Daoud

摘要:

对任意量子系统引入了Gazeau-Klauder相干态和Perelomov相干态。我们也给出了一般的框架,以构建广义智能态,最小化Robertson-Schrödinger的不确定性关系。作为示例,将选择三角型的Pöschl-Teller势。我们展示了Gazeau-Klauder和Perelomov相干态的解析表示在用解析方法获得广义智能态方面的优势。

英文摘要:

The so-called Gazeau-Klauder and Perelomov coherent states are introduced for an arbitrary quantum system. We give also the general framework to construct the generalized intelligent states which minimize the Robertson-Schrödinger uncertainty relation. As illustration, the Pöschl-Teller potentials of trigonometric type will be chosen. We show the advantage of the analytical representations of Gazeau-Klauder and Perelomov coherent states in obtaining the generalized intelligent states in analytical way.

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