Перегляд за автором "Quesne, C."

Результати 1-7 з 7

Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials

Grandati, Y.; Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)

We construct rational extensions of the Darboux-Pöschl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the initial potential, whereas the latter are ...
Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics

Quesne, C.; Tkachuk, V.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)

Two generalizations of Kempf's quadratic canonical commutation relation in one dimension are considered. The first one is the most general quadratic commutation relation. The corresponding nonzero minimal uncertainties in ...
Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials

Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)

The existence of a novel enlarged shape invariance property valid for some rational extensions of shape-invariant conventional potentials, first pointed out in the case of the Morse potential, is confirmed by deriving all ...
Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations

Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)

On using the known equivalence between the presence of a position-dependent mass (PDM) in the Schrödinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has ...
Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions

Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)

An exactly solvable position-dependent mass Schrödinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional ...
Revisiting the Symmetries of the Quantum Smorodinsky-Winternitz System in D Dimensions

Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

The D-dimensional Smorodinsky-Winternitz system, proposed some years ago by Evans, is re-examined from an algebraic viewpoint. It is shown to possess a potential algebra, as well as a dynamical potential one, in addition ...
Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics

Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)

New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional ...

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Перегляд за автором "Quesne, C."

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