| Abstract: | We study solutions of various quantum mechanical eigenvalue problems using the formalism of one dimensional supersymmetric quantum mechanics. The problems studied includes among other problems the non-polynomial oscillator and the doubly anharmonic oscillator potentials. The solutions obtained here are of two types — exact analytical solutions and approximate solutions. The method of obtaining exact solutions have been shown to be general enough to be applied to a large class of potentials. The method of obtaining approximate solutions have been studied in details and their accuracy have been compared with exact numerical results. |
