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 …

Some selected topics on the subject of large-N expansions are reviewed here. A brief
discussion of large-N critical phenomena is also presented. Generalizing the Schrödinger …

It is well known that the harmonic oscillator potential can be solved by using raising and
lowering operators. This operator method can be generalized with the help of …

We investigate whether a general class of solvable potentials, the Natanzon potentials
(those potentials whose solutions are hypergeometric functions), and their supersymmetric …

A key test of the nonrelativistic potential description of quarkonium is the confirmation of
predicted D-wave levels. For the bb system (Υ family), the lowest spin-triplet levels (1 D 3) …

A non-Hermitian generalization of the Su-Schrieffer-Heeger model driven by a periodic
external potential is investigated, and its topological features are explored. We find that the …

For non-zero ℓ values, we present an analytical solution of the radial Schrödinger equation
for the rotating Morse potential using the Pekeris approximation within the framework of the …

We have investigated the reality of exact bound states of complex and/or PT-symmetric non-
Hermitian exponential-type generalized Hulthén potential. The Klein–Gordon equation has …

We give some illustrations and interpretations of supersymmetry in quantum mechanics in
simple models. We show that the value of 2 for the g factor of the electron expresses the …

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 …