This article provides a review of the Supersymmetric Quantum Mechanics formalism and shows its application to solve an exponential potential that, with an appropriate choice of parameters, is identified as the Morse potential. The solution of the Schrödinger equation for this potential is found via factorization and construction of a hierarchy of Hamiltonians, with the use of these tools the energy eigenvalues and their respective eigenfunctions are found. From the obtained result, we fixed parameter values in order to retrieve the results for bound states present in the literature.
Keywords:
Supersymmetry; Quantum Mechanics; Bosonic operators; Morse Potential