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 …

Known shape-invariant potentials for the constant-mass Schrödinger equation are taken as
effective potentials in a position-dependent effective mass (PDEM) one. The corresponding …

We review solvable models within the framework of supersymmetric quantum mechanics
(SUSYQM). In SUSYQM, the shape invariance condition insures solvability of quantum …

In the context of some deformed canonical commutation relations leading to isotropic
nonzero minimal uncertainties in the position coordinates, a Dirac equation is exactly solved …

As with the earlier edition, this book provides an accessible introduction to supersymmetric
quantum mechanics and its applications in quantum, statistical and solid state physics …

In a search for pairs of quantum systems linked by dynamical symmetries, we give a
systematic analysis of novel extensions of standard one-dimensional supersymmetric …

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 …

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 …

We study the accuracy of several alternative semiclassical methods by computing
analytically the energy levels for many large classes of exactly solvable shape-invariant …

It has been shown that all second-order associated differential equations obtained from the
master function have the properties of parasupersymmetry and shape invariance. Using this …