67 citations · 385 across the 16 of their papers we have counts for
16 papers
Infinite families of shape invariant potentials with n parameters subject to translation
Arturo Ramos
We find new families of shape invariant potentials depending on n>=1 parameters subject to translation by the inclusion of non-trivial invariants. New dependencies of the spectra a…
A short note on "Group theoretic approach to rationally extended shape invariant potentials" [Annals of Physics 359, 46 (2015)]
Arturo Ramos, Bijan Bagchi, Avinash Khare +3
It is proved the equivalence of the compatibility condition of [A. Ramos, J. Phys. A 44 (2011) 342001, Phys. Lett. A 376 (2012) 3499] with a condition found in [Yadav et al., Ann.…
Symmetries and the compatibility condition for the new translational shape invariant potentials
Arturo Ramos
In this letter we study a class of symmetries of the new translational extended shape invariant potentials. It is proved that a generalization of a compatibility condition introduc…
On the new translational shape invariant potentials
Arturo Ramos
Recently, several authors have found new translational shape invariant potentials not present in classic classifications like that of Infeld and Hull. For example, Quesne on the on…
Bäcklund--Darboux transformations of traslationally shape-invariant potentials
Arturo Ramos
Recently, Quesne on the one side and on the other side Bougie, Gangopadhyaya and Mallow, have discovered new translational shape invariant potentials not present in previous classi…
A geometric approach to time evolution operators of Lie quantum systems
José F. Cariñena, Javier de Lucas, Arturo Ramos
Lie systems in Quantum Mechanics are studied from a geometric point of view. In particular, we develop methods to obtain time evolution operators of time-dependent Schrodinger equa…