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 …

Supersymmetric quantum mechanics (SUSY QM) is a powerful tool for generating new
potentials with known spectra departing from an initial solvable one. In these lecture notes …

We study systems of two intertwining relations of first or second order for the same (up to a
constant shift) partner Schrödinger operators. It is shown that the corresponding …

We study the nonlinear (polynomial, N-fold,…) supersymmetry algebra in one-dimensional
QM. Its structure is determined by the type of conjugation operation (Hermitian conjugation …

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 …

Polynomial deformations of the Heisenberg algebra are studied in detail. Some of their
natural realizations are given by the higher order susy partners (and not only by those of first …

C-extended oscillator algebras are realized as generalized deformed oscillator algebras.
For λ= 3, the spectrum of the corresponding bosonic oscillator Hamiltonian is shown to …

We study complex potentials and related non-diagonalizable Hamiltonians with special
emphasis on formal definitions of associated functions and Jordan cells. The non-linear …