3 papers
math-ph2000
-extended oscillator algebras and some of their deformations and applications to quantum mechanics
C. Quesne, N. Vansteenkiste
-extended oscillator algebras generalizing the Calogero-Vasiliev algebra, where is the cyclic group of order , are studied both from mathematical and applied viewpoin…
math-ph1999
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…
math.QA1998
C_λ-extended oscillator algebra and parasupersymmetric quantum mechanics
C. Quesne, N. Vansteenkiste
The C_λ-extended oscillator algebra is generated by {1,a,a^{\dagger},N,T}, where T is the generator of the cyclic group C_λ of order λ. It can be realized as a generalized deformed…