On the Hermitian momentum of Wigner-Dunkl quantum mechanics

被引：12

作者：

Chung, Won Sang ^{[1
,2
]}

Junker, Georg ^{[3
]}

Dong, Shi-hai ^{[4
,5
]}

Hassanabadi, Hassan ^{[6
]}

机构：

[1] Gyeongsang Natl Univ, Coll Nat Sci, Dept Phys, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, Res Inst Nat Sci, Coll Nat Sci, Jinju 660701, South Korea

[3] European Southern Observ, Karl Schwarzschild Str 2, D-85748 Garching, Germany

[4] Huzhou Univ, Res Ctr Quantum Phys, Huzhou 313000, Peoples R China

[5] UPALM, Inst Politecn Nacl, Ctr Invest Comp, Cdmx 07738, Mexico

[6] Shahrood Univ Technol, Fac Phys, Shahrood, Iran

来源：

EPL | 2023年 / 141卷 / 03期

关键词：

D O I：

10.1209/0295-5075/acaf9e

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 (c) 2023 EPLA

引用

页数：8

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