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On the gauge invariance of Wigner–Dunkl quantum mechanics in the presence of a constant magnetic field
- Junker, G.;
- Dong, S.-H.;
- Sedaghatnia, P.;
- Chung, W.S.;
- Hassanabadi, H.
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13초록
In this paper we consider a charged Wigner–Dunkl quantum system in the presence of a constant magnetic field. It is shown that this system obeys gauge invariance if minimally coupled to a vector potential following the Dunkl-Maxwell relations. A family of vector potentials, which generate the constant magnetic field, is constructed explicitly. The gauge invariance of the Wigner–Dunkl quantum system is established with a gauge transformation exhibiting a deformed unitarity. For vector potentials following the standard Maxwell relations it is not possible to establish gauge invariance for the Wigner–Dunkl quantum system. © 2023 Elsevier Inc.
키워드
Deformed Heisenberg algebra; Gauge invariance; Wigner–Dunkl quantum mechanics; DEFORMED HEISENBERG ALGEBRA; SYMMETRY; SUPERSYMMETRY; QUANTIZATION; OSCILLATOR; EQUATIONS
- 제목
- On the gauge invariance of Wigner–Dunkl quantum mechanics in the presence of a constant magnetic field
- 저자
- Junker, G.; Dong, S.-H.; Sedaghatnia, P.; Chung, W.S.; Hassanabadi, H.
- 발행일
- 2023-07
- 유형
- Article
- 권
- 454