60 citations · 209 across the 9 of their papers we have counts for
9 papers
An Algebraic Construction of Generalized Coherent States for Shape-Invariant Potentials
A. N. F. Aleixo, A. B. Balantekin
Generalized coherent states for shape invariant potentials are constructed using an algebraic approach based on supersymmetric quantum mechanics. We show this generalized formalism…
An Algebraic q-Deformed Form for Shape-Invariant Systems
A. N. F. Aleixo, A. B. Balantekin, M. A. Candido Ribeiro
A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy ne…
Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Function
A. N. F. Aleixo, A. B. Balantekin, M. A. Candido Ribeiro
A decomposition of identity is given as a complex integral over the coherent states associated with a class of shape-invariant self-similar potentials. There is a remarkable connec…
Supersymmetric and Shape-Invariant Generalization for Nonresonant and Intensity-Dependent Jaynes-Cummings Systems
A. N. F. Aleixo, A. B. Balantekin, M. A. Candido Ribeiro
A class of shape-invariant bound-state problems which represent transition in a two-level system introduced earlier are generalized to include arbitrary energy splittings between t…
Generalized Jaynes-Cummings Model with Intensity-Dependent and Non-resonant Coupling
A. N. F. Aleixo, A. B. Balantekin, M. A. Candido Ribeiro
We study the intensity-dependent and nonresonant Jaynes-Cummings Hamiltonian when the field is described by an arbitrary shape-invariant system. We determine the eigenstates, eigen…
Supersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems
A. N. F. Aleixo, A. B. Balantekin, M. A. Candido Ribeiro
A class of shape-invariant bound-state problems which represent transitions in a two-level system introduced earlier are generalized to include arbitrary energy splittings between…