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C_λ-extended oscillator algebra and parasupersymmetric quantum mechanics

C. Quesne·N. Vansteenkiste
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Abstract

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 oscillator algebra (GDOA). Its unirreps can thus be exhibited using the representation theory of GDOAs and their carrier space show a Z_λ grading structure. Within its infinite-dimensional Fock space representation, this algebra provides a bosonization of parasupersymmetric quantum mechanics of order p= λ- 1.

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BibTeXRIS

C. Quesne, N. Vansteenkiste. 1998-08-20. C_λ-extended oscillator algebra and parasupersymmetric quantum mechanics. https://arxiv.org/abs/math/9808092

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