Symmetry in spectrum space of isotonic oscillator and two-photon parametric model

Li Wen-Bo; Li Ke-Xuan; Li Ye; Li Mi-Shan; Li Ya-Ling; Wen Xiao-Yang; Yuan Guang-Jun

doi:10.7498/aps.53.4202

Abstract
Symmetry in spectrum space of isotonic oscillators is studied, and a distinct fi gure is given by appropriate parametric substitution. An analytic expression of normalized eigenfunction is obtained. It is proven that linear oscillator is a degeneration of isotonic oscillator. It is revealed that an isotonic oscillator is a two_photon parametric model. Coherent state of that model is given, and that coherent state includes odd_coherent state and even_coherent state constru cted by Glauber coherent states in a natural way.

Keywords:
isotonic oscillator /

pseudo_angular_momentum method /

eigenvalue spectrum /

eigenf unction /

two_photon model with parameter
Authors and contacts
Li Wen-Bo,

Li Ke-Xuan,

Li Ye,

Li Mi-Shan,

Li Ya-Ling,

Wen Xiao-Yang,

Yuan Guang-Jun

1.
北京交通大学物理系,北京　100044
References

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Vol. 53, Issue 12 - 2004-06-20

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Symmetry in spectrum space of isotonic oscillator and two-photon parametric model

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Symmetry in spectrum space of isotonic oscillator and two-photon parametric model

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