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On the Hermitian momentum of Wigner-Dunkl quantum mechanics
- Authors
- Chung, W.S.; Junker, G.; Dong, S.-H.; Hassanabadi, H.
- Issue Date
- Feb-2023
- Publisher
- EDP Sciences
- Citation
- Europhysics Letters, v.141, no.3
- Indexed
- SCIE
SCOPUS
- Journal Title
- Europhysics Letters
- Volume
- 141
- Number
- 3
- ISSN
- 1286-4854
1286-4854
- Abstract
- In this paper the Hermitian momentum operator on the usual Hilbert space is constructed for the Wigner-Dunkl quantum mechanics utilizing a symmetric Dunkl derivative. The inverse of the derivative is shown to exhibit different realization on the subspaces of even and odd functions. The continuity conditions at finite discontinuities of symmetric potential is investigated. As an example, the finite symmetric square well is discussed in detail. Copyright © 2023 EPLA.
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