  In this project, we will develop the foundations of quantum mechanics using
the methods of supersymmetry. We will discuss the use of the superpotential to
derive the supersymmetric partner of a potential in one dimension, and explore
several key examples with an emphasis on shape invariant potentials. We will
then discuss the modeling of supersymmetric quantum systems using matrices and
operators, and how it relates to the eigenstate thermalization hypothesis.
