On the Hermitian momentum of Wigner-Dunkl quantum mechanics

Won Sang Chung; Georg Junker; Shi Hai Dong; Hassan Hassanabadi

doi:10.1209/0295-5075/acaf9e

On the Hermitian momentum of Wigner-Dunkl quantum mechanics

Won Sang Chung, Georg Junker, Shi Hai Dong, Hassan Hassanabadi

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4 Scopus citations

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.

Original language	English
Article number	32001
Journal	EPL
Volume	141
Issue number	3
DOIs	https://doi.org/10.1209/0295-5075/acaf9e
State	Published - Feb 2023

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title = "On the Hermitian momentum of Wigner-Dunkl quantum mechanics",

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.",

author = "Chung, {Won Sang} and Georg Junker and Dong, {Shi Hai} and Hassan Hassanabadi",

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AU - Dong, Shi Hai

AU - Hassanabadi, Hassan

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AB - 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.

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On the Hermitian momentum of Wigner-Dunkl quantum mechanics

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