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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 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.
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Title: Symmetry in spectrum space of isotonic oscillator and two-photon parametric model
Description:
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.
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