Review and application of the BenderWu Mathematica Package

Abstract

This thesis is the application of the BenderWu Mathematica package to di erent physical systems. The code was developed to calculate wave function and energy data of higher order perturbation theory in quantum mechanics. The review is done by practical application of the code on the potentials in the examples accompanying the package, as well as the application of it on novel potentials of various forms. The development of the recursion relation behind the code, and the generalization of the relation are also discussed. Finally, the relation between higher order perturbation theory and non-perturbative information encoded in it is also discussed.