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New deformed Heisenberg algebra with reflection operator
- Authors
- Chung, Won Sang; Hassanabadi, Hassan
- Issue Date
- 20-Feb-2021
- Publisher
- SPRINGER HEIDELBERG
- Citation
- EUROPEAN PHYSICAL JOURNAL PLUS, v.136, no.2
- Indexed
- SCIE
SCOPUS
- Journal Title
- EUROPEAN PHYSICAL JOURNAL PLUS
- Volume
- 136
- Number
- 2
- ISSN
- 2190-5444
- 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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