Gazeau-Klauder and Klauder-Perelomov coherert states for the anharmonic oscillator

Cheng Yan-Fu

doi:10.7498/aps.53.3657

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.

Keywords:
anharmonic oscillator /

Gazeau-Klauder coherent state /

Klauder-Perelomov coherent state
Authors and contacts
Cheng Yan-Fu

1.
中南民族大学物理系,武汉　430074
References

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Vol. 53, Issue 11 - 2004-06-05

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Gazeau-Klauder and Klauder-Perelomov coherert states for the anharmonic oscillator

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Gazeau-Klauder and Klauder-Perelomov coherert states for the anharmonic oscillator

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