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物理学报  2002 

Variants of isotonic oscillator
同调谐振子的变形

Keywords: isotonic oscillator,isotonic parameter,annihilation operator,creation operator
同调谐振子
,同调参量,产生算符,湮没算符

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Abstract:

Several variants of isotonic oscillator which can keep the structure of eigenvalue spectra are realized.These include the radial equation of the three-dimensional isotropic harmonic oscillator,the radial equation of Kepler's problem,Kepler's problem in parabola coordinates,and s state problem of Morse potential.Each variant system corresponds to a definite value of the isotonic parameter g.Thus,the isotonic oscillator problem is a quite general problem and has substantial contents.

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