On extended umbral calculus, oscillator-like algebras and Generalized Clifford Algebra

Details On extended umbral calculus, oscillator-like algebras and Generalized Clifford Algebra On extended umbral calculus, oscillator-like algebras and Generalized Clifford Algebra

2004-01-08

arxiv.org/abs/math/0401083v1

Advances in Applied Clifford Algebras 11 No2 267-279 (2001)

Mathematics

Quantum Algebra

Scientific paper

Some quantum algebras build from deformed oscillator algebras may be described in terms of a particular case of extended umbral calculus. We give here an example of a specific relation between such certain quantum algebras and generalized Clifford algebras also in the context of azimuthal quantization of angular momentum which was interpreted afterwards as the finite dimensional quantum mechanics .

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