| 非谐振子Gazeau-Klauder与Klauder-Perelomov相干态 |
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| 引用本文： | 程衍富.非谐振子Gazeau-Klauder与Klauder-Perelomov相干态[J].数学建模及其应用,2005(2):31-36. |
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| 作者姓名： | 程衍富 |
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| 作者单位： | 中南民族大学物理系， 武汉 430074 |
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| 摘 要： | 利用Kinani-Daoud方法构造了非谐振子势的Gazeau-Klauder(GK)相干态和Klauder-Perelomov(KP)相干态，表明两种相干态在非线性谐振子势下具有完全不同的形式，并对两种相干态的完备性以及各自构成的Hilbert空间进行了讨论. 对相干态的Mandel Q参数的研究表明：GK相干态服从亚Poisson统计分布，KP相干态服从超Poisson统计分布.
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| 关 键 词： | 非谐振子， Gazeau-Klauder相干态， Klauder-Perelomov相干态 |
Gazeau-Klauder and Klauder-Perelomov coherert states for the anharmonic oscillator |
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| Authors: | Cheng Yan-Fu |
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| Abstract: | Using the Kinani-Daoud method we have constructed the Gazeau-Klauder(GK) and Klauder Perelomov(KP) coherent states for the anharmonic oscillator. It is shown that the two types of coherent states have totally different forms in their expressions. We have also discussed the resolution of unity of the two coherent states and the Hilbert space of each state. The study of Mandel Q pa rameter of the states shows that GK coherent state coincides with the sub-Poissonian and KP coherent state coincides with the super-Poissonian statistical distributions. |
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| Keywords: | anharmonic oscillator Gazeau-Klauder coherent state Klauder-Perelomov coherent state |
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