We review solvable models within the framework of supersymmetric quantum mechanics
(SUSYQM). In SUSYQM, the shape invariance condition insures solvability of quantum …

We review the higher‐order supersymmetric quantum mechanics (H‐SUSY QM), which
involves differential intertwining operators of order greater than one. The iterations of first …

Shape invariant potentials with symmetry Page 1 Journal of Physics A: Mathematical and
General LETTER TO THE EDITOR Shape invariant potentials with symmetry To cite this article …

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 …

Lie algebraic approach to singular oscillator with a position-dependent mass Page 1 Lie
algebraic approach to singular oscillator with a position-dependent mass To cite this article …

The Hamiltonian in Supersymmetric Quantum Mechanics is defined in terms of charges that
obey the same algebra as that of the generators of supersymmetry in field theory. The …

Abstract Script P Script T (= parity times time-reversal) symmetry of complex Hamiltonians
with real spectra is usually interpreted as a weaker mathematical substitute for Hermiticity …

In this review, we summarize the progress that has been made in connecting supersymmetry
and spectrum generating algebras through the property of shape invariance. This …

Although eigenspectra of shape invariant potentials with unbroken supersymmetry are
easily obtained, this procedure is not applicable when the parameters in these potentials …

In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY
QM), specially when applied to the harmonic and radial oscillators. In addition, we will define …