par Quesne, Christiane ;Vansteenkiste, Nicolas
Référence Czechoslovak Journal of Physics, 48, 11, page (1477-1482)
Publication Publié, 1998-11
Article révisé par les pairs
Résumé : The Cλ-extended oscillator algebra is generated by {1, a, a†, N, T}, where T is the generator of the cyclic group Cλ of order λ. It can be realized as a generalized deformed oscillator algebra (GDOA). Its unirreps can thus be easily exhibited using the representation theory of GDOAs and their carrier spaces show a Zλ-grading structure. Within its infinite-dimensional Fock space representation, this algebra provides a bosonization of parasupersymmetric quantum mechanics of order p = λ - 1.