Rationally extended shape invariant potentials in arbitrary D-dimensions are obtained by using point canonical transformation (PCT) method. The bound-state solutions of these exactly solvable potentials can be written in terms of Xm Laguerre or Xm Jacobi exceptional orthogonal polynomials. These potentials are isospectral to their usual counterparts and possess translationally shape invariance property
We present various results on the properties of the four infinite sets of the exceptional Xl polynom...
We provide analytic proofs for the shape invariance of the recently discovered [ Odake and Sasaki, P...
For 11 examples of one-dimensional quantum mechanics with shape-invariant potentials, the Darboux-Cr...
In recent years, one of the most interesting developments in quantum mechanics has been the construc...
We construct two new exactly solvable potentials giving rise to bound-state solutions to the Schrödi...
We present a new set of infinitely many shape invariant potentials and the corresponding exceptional...
AbstractWe present a new set of infinitely many shape invariant potentials and the corresponding exc...
Abstract. The existence of a novel enlarged shape invariance property valid for some ratio-nal exten...
The existence of a novel enlarged shape invariance property valid for some rational extensions of sh...
We present a new family of shape invariant potentials which could be called a 'continuous l version'...
The construction of rationally-extended Morse potentials is analyzed in the framework of first-order...
[[abstract]]We show how all the quantal systems related to the exceptional Laguerre and Jacobi polyn...
International audienceA recently proposed scheme to generate the rational extensions of translationa...
The power of the disconjugacy properties of second-order differential equations of Schrödinger type ...
A previous study of exactly solvable rationally-extended radial oscillator potentials and correspond...
We present various results on the properties of the four infinite sets of the exceptional Xl polynom...
We provide analytic proofs for the shape invariance of the recently discovered [ Odake and Sasaki, P...
For 11 examples of one-dimensional quantum mechanics with shape-invariant potentials, the Darboux-Cr...
In recent years, one of the most interesting developments in quantum mechanics has been the construc...
We construct two new exactly solvable potentials giving rise to bound-state solutions to the Schrödi...
We present a new set of infinitely many shape invariant potentials and the corresponding exceptional...
AbstractWe present a new set of infinitely many shape invariant potentials and the corresponding exc...
Abstract. The existence of a novel enlarged shape invariance property valid for some ratio-nal exten...
The existence of a novel enlarged shape invariance property valid for some rational extensions of sh...
We present a new family of shape invariant potentials which could be called a 'continuous l version'...
The construction of rationally-extended Morse potentials is analyzed in the framework of first-order...
[[abstract]]We show how all the quantal systems related to the exceptional Laguerre and Jacobi polyn...
International audienceA recently proposed scheme to generate the rational extensions of translationa...
The power of the disconjugacy properties of second-order differential equations of Schrödinger type ...
A previous study of exactly solvable rationally-extended radial oscillator potentials and correspond...
We present various results on the properties of the four infinite sets of the exceptional Xl polynom...
We provide analytic proofs for the shape invariance of the recently discovered [ Odake and Sasaki, P...
For 11 examples of one-dimensional quantum mechanics with shape-invariant potentials, the Darboux-Cr...