20 citations · 37 across the 6 of their papers we have counts for
6 papers
Pseudosupersymmetric quantum mechanics: General case, orthosupersymmetries, reducibility, and bosonization
C. Quesne, N. Vansteenkiste
Pseudosupersymmetric quantum mechanics (PsSSQM), based upon the use of pseudofermions, was introduced in the context of a new Kemmer equation describing charged vector mesons inter…
-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…
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…
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…
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…
Representation Theory of Generalized Deformed Oscillator Algebras
C. Quesne, N. Vansteenkiste
The representation theory of the generalized deformed oscillator algebras (GDOA's) is developed. GDOA's are generated by the four operators . Their commutators and Her…