In this paper, a new generalization of Dunkl derivative with three parameters is proposed. With a help of the generalized Dunkl derivative, a new deformed Heisenberg algebra with reflection operator… Click to show full abstract
In this paper, a new generalization of Dunkl derivative with three parameters is proposed. With a help of the generalized Dunkl derivative, a new deformed Heisenberg algebra with reflection operator is proposed. The Hilbert space and inner product are well defined for the new deformed Heisenberg algebra, and some physical examples are discussed.
               
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