Free boson realization of the Dunkl intertwining operator in one dimension

نویسندگان

چکیده

The operator that intertwines between the $\mathbb{Z}_2$ - Dunkl and derivative is shown to have a realization in terms of oscillator operators one dimension. This observation rests on fact intertwining maps Hermite polynomials generalized polynomials.

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ژورنال

عنوان ژورنال: Reviews in Mathematical Physics

سال: 2022

ISSN: ['1793-6659', '0129-055X']

DOI: https://doi.org/10.1142/s0129055x22500258