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4 papers · 2 filters
Polynomial algebras from and the generic model on the two sphere
Francisco Correa, Mariano A. del Olmo, Ian Marquette +1
Construction of superintegrable systems based on Lie algebras have been introduced over the years. However, these approaches depend on explicit realisations, for instance as a diff…
The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
Sergio Albeverio, Silvestro Fassari, Manuel Gadella +2
In this note we consider a quantum mechanical particle moving inside an infinitesimally thin layer constrained by a parabolic well in the -direction and, moreover, in the presen…
Redundant poles of the -matrix for the one dimensional Morse potential
M. Gadella, A. Hernández-Ortega, Ş. Kuru +1
We analyze the structure of the scattering matrix, , for the one dimensional Morse potential. We show that, in addition to a finite number of bound state poles and an infinit…
The general Racah algebra as the symmetry algebra of generic systems on pseudo--spheres
S. Kuru, I. Marquette, J. Negro
We characterize the symmetry algebra of the generic superintegrable system on a pseudo-sphere corresponding to the homogeneous space where , ${\ca…