A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator
A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator
A nonpolynomial one-dimensional quantum potential representing an oscillator, that can be considered as placed in the middle between the harmonic oscillator and the isotonic oscillator (harmonic oscillator with a centripetal barrier), is studied. First the general case, that depends of a parameter $a$, is considered and then a particular case …