Symmetry in spectrum space of isotonic oscillator and two-photon parametric model
同调谐振子谱空间上的对称性和参量双粒子模型

Symmetry in spectrum space of isotonic oscillators is studied,and a distinct figure 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 constructed by Glauber coherent states in a natural way.