We present the energy eigenvalues of modified Pschl-Teller potential,the N-dimensionalhydrogen atom,and the N-dimensional harmonic oscillator.The calculations are carried out in the framework of supersymmetry and shape invariance.The present energy spectrum formulas are consistent with the exact solutions obtained with the usual factorization method.
It has been shown that Hulthen potential and isotonic harmonic oscillator potential are shape-invariant potentials with a translation of parameters, and isotonic harmonic oscillator potential and three-dimensional harmonic oscillator potential belong to a type of shape-invariant potentials.
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