259 citations · 3.2k across the 85 of their papers we have counts for
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Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential
C. Quesne
We comment on a recent paper by Chen, Liu, and Ge (J. Phys. A: Math. Gen. 31 (1998) 6473), wherein a nonlinear deformation of su(1,1) involving two deforming functions is realized…
C-extended Oscillator Algebras: Theory and Applications to (Variants) of Supersymmetric Quantum Mechanics
C. Quesne, N. Vansteenkiste
C-extended oscillator algebras, where C is the cyclic group of order , are introduced and realized as generalized deformed oscillator algebras. For , they reduce to…
suq(2)-Invariant Schrodinger Equation of the Three-Dimensional Harmonic Oscillator
M. Irac-Astaud, C. Quesne
We propose a q-deformation of the su(2)-invariant Schrodinger equation of a spinless particle in a central potential, which allows us not only to determine a deformed spectrum and…
Covariant (hh')-Deformed Bosonic and Fermionic Algebras as Contraction Limits of q-Deformed Ones
C. Quesne
-covariant (hh')-bosonic (or (hh')-fermionic) algebras are built in terms of the corresponding R_h and -matrices by cont…
Algebraic Realization of Supersymmetric Quantum Mechanics for Cyclic Shape Invariant Potentials
C. Quesne, N. Vansteenkiste
We study in detail the spectrum of the bosonic oscillator Hamiltonian associated with the -extended oscillator algebra \algthree, where denotes a cyclic group of order t…