The nonlinear supersymmetric (SUSY) approach to spectral problems in quantum
mechanics (QM) is reviewed. Its building from the chains (ladders) of linear SUSY systems is …

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 …

We give a classification of second-order polynomial SUSY quantum mechanics in one and
two dimensions. Particular attention is paid to the irreducible supercharges which cannot be …

A new supersymmetric approach to dynamical symmetries for matrix quantum systems is
explored. In contrast to standard one-dimensional quantum mechanics where there is no …

A polynomial generalization of supersymmetry in quantum mechanics in one and two
dimensions is proposed. Polynomial superalgebras in one dimension are classified. In two …

Different ways to incorporate two-dimensional systems which are not amenable to
separation of variables treatment into the framework of supersymmetrical quantum …

A two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle
with a magnetic field having axial and second-order symmetries is considered. After …

The three-dimensional Schrödinger equation with a position-dependent (effective) mass is
studied in the framework of Supersymmetrical (SUSY) Quantum Mechanics. The general …

The two-dimensional parasupersymmetric quantum mechanical models are constructed by
reduction of some supersymmetric systems. The spectra of the resulting hamiltonians are …

We describe how a class of quantum mechanical systems with parasupersymmetries is
obtained by truncating supersymmetric models. A detailed analysis of the one-dimensional …