In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

This chapter introduces the basic ideas of P T-symmetric systems. It begins with a brief
discussion of closed (isolated) and open (non-isolated) systems and explains that P T …

The Handbook of Feynman Path Integrals appears just fifty years after Richard Feynman
published his pioneering paper in 1948 entitled" Space-Time Approach to Non-Relativistic …

Following Witten's remarkable discovery of the quantum mechanical scheme in which all the
salient features of supersymmetry are embedded, SCQM (supersymmetric classical and …

We investigate whether a general class of solvable potentials, the Natanzon potentials
(those potentials whose solutions are hypergeometric functions), and their supersymmetric …

The author investigates a simple method of constructing potentials which is related to the
work of Bhattacharjie and Sudarshan (1962) and for which the Schrodinger equation can be …

We consider the application of the supersymmetric quantum-mechanical formalism to the
Schrödinger equation describing a particle characterized by a position-dependent effective …

The integrability condition called shape invariance is shown to have an underlying algebraic
structure and the associated Lie algebras are identified. These shape-invariance algebras …

The scattering amplitudes for all currently known supersymmetric shape-invariant potentials
are calculated by analytically continuing the explicit wavefunctions obtained via …

We consider a specific differential realization of the su (1, 1) algebra and use it to explore
such algebraic structures associated with shape-invariant potentials. Our approach …