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New deformed Heisenberg algebra with reflection operator

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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.

Keywords: deformed heisenberg; new deformed; algebra reflection; reflection operator; heisenberg algebra

Journal Title: European Physical Journal Plus
Year Published: 2021

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