Supersymmetric Quantum Mechanics

This bachelor thesis deals with nonrelativistic supersymmetric quantum mechanics in one dimension. We will discuss the formalism of Supersymmetry along with a few applications such as the infinite square well potential and the harmonic oscillator. Special attention will be given to the delta-well potential first as a single and thereafter periodically repeated potential. Ultimately, we will examine the Lamé potentials as a semi-analytically solvable class of periodic potentials and investigate their supersymmetric partner potentials.