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 …

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 …

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 propose a higher-order derivative generation of supersymmetric quantum mechanics. It
is formally based on the standard superalgebra but supercharges involve differential …

This book is devoted to the analysis of old (classical) and new (non-Lie) symmetries of the
fundamental equations of quantum mechanics and classical field theory, and to the …

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' …

Within a group-theoretical approach to the description of (2+ 1)-dimensional anyons, the
minimal covariant set of linear differential equations is constructed for the fractional spin …

The existence of intimate relations between generalized statistics and supersymmetry is
established by the observation of hidden supersymmetric structure in pure parabosonic …

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 …

We discuss in some detail the self-similar potentials of Shabat [Inverse Prob. 8, 303 (1992)]
and Spiridonov [Phys. Rev. Lett. 69, 298 (1992)] which are reflectionless and have an infinite …