67 citations · 86 across the 3 of their papers we have counts for
6 papers
New supersymmetric partners for the associated Lame potentials
David J Fernandez C, Asish Ganguly
We obtain exact solutions of the one-dimensional Schrodinger equation for some families of associated Lame potentials with arbitrary energy through a suitable ansatz, which may be…
Group theoretical approach to the intertwined Hamiltonians
José F. Cariñena, David J. Fernández C., Arturo Ramos
We show that the finite difference Bäcklund formula for the Schrödinger Hamiltonians is a particular element of the transformation group on the set of Riccati equations considered…
Supersymmetrically transformed periodic potentials
David J. Fernandez C
The higher order supersymmetric partners of a stationary periodic potential are studied. The transformation functions associated to the band edges do not change the spectral struct…
On first-order scaling intertwining in quantum mechanics
D. J. Fernandez C., H. C. Rosu
We generalize the standard first-order intertwining relationship of supersymmetric quantum mechanics in order to include simultaneous scaling transformations in both the original H…
Polynomial Heisenberg algebras and higher order supersymmetry
David J. Fernandez C., Veronique Hussin
It is shown that the higher order supersymmetric partners of the harmonic oscillator Hamiltonian provide the simplest non-trivial realizations of the polynomial Heisenberg algebras…
The manipulation problem in quantum mechanics
David J. Fernandez C
We explain the meaning of dynamical manipulation, and we illustrate its mechanism by using a system composed of a charged particle in a Penning trap. It is shown that by means of a…