Exactly solvable problems of quantum mechanics and their spectrum generating algebras: A review

Abstract

In this review, we summarize the progress that has been made in connecting supersymmetry and spectrum generating algebras through the property of shape invariance. This monograph is designed to be used by our fellow researchers, by other interested physicists, and by students at the graduate and even undergraduate levels who would like a brief introduction to the field. © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2007.