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 …

The progress of the factorization method since the 1935 work of Dirac is briefly reviewed.
Though linked with older mathematical theories the factorization seems an autonomous' …

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 …

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 …

A variety of coherent states of the harmonic oscillator is considered. It is formed by a
particular superposition of canonical coherent states. In the simplest case, these …

A set of exactly solvable one-dimensional quantum-mechanical potentials is described. It is
defined by a finite-difference-differential equation generating in the limiting cases the Rosen …

In the context of a two-parameter (α, β) deformation of the canonical commutation relation
leading to nonzero minimal uncertainties in both position and momentum, the harmonic …

On using the known equivalence between the presence of a position-dependent mass
(PDM) in the Schrödinger equation and a deformation of the canonical commutation …

The generalized deformed schemes. proposed initially as unified frameworks of various
deformed oscillators, are proven to be equivalent. The unified representation of these …