A short note on "Group theoretic approach to rationally extended shape invariant potentials" [Annals of Physics 359, 46 (2015)]
arXiv:1705.04592 · doi:10.1016/j.aop.2017.05.006
Abstract
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. Phys. 359 (2015) 46]. The link of Shape Invariance with the existence of a Potential Algebra is reinforced for the rationally extended Shape Invariant potentials. Some examples on X1 and Xl Jacobi and Laguerre cases are given.
10 pages, Latex, No figures,Version to appear in Annals of Physics
References in corpus (8)
- Infinitely many shape invariant potentials and new orthogonal polynomials
- Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
- Solvable rational extensions of the isotonic oscillator
- Exceptional Askey-Wilson type polynomials through Darboux-Crum transformations
- Parametric symmetries in exactly solvable real and P T symmetric complex potentials
- Group theoretic approach to rationally extended shape invariant potentials
- A new family of shape invariantly deformed Darboux-Pöschl-Teller potentials with continuous \ell
- Symmetries and the compatibility condition for the new translational shape invariant potentials
Cited by in corpus (4)
- Rationally extended many-body truncated Calogero-Sutherland model
- Supersymmetry and Shape Invariance of exceptional orthogonal polynomials
- Solutions of (1+1)-dimensional Dirac equation associated with exceptional orthogonal polynomials and the parametric symmetry
- Infinite families of shape invariant potentials with n parameters subject to translation