Solution of the spin-one DKP oscillator under an external magnetic field in noncommutative space with minimal length

doi:10.1088/1674-1056/27/1/010301

Abstract The spin-one Duffin-Kemmer-Petiau (DKP) oscillator under a magnetic field in the presence of the minimal length in the noncommutative coordinate space is studied by using the momentum space representation. The explicit form of energy eigenvalues is found, and the eigenfunctions are obtained in terms of the Jacobi polynomials. It shows that for the same azimuthal quantum number, the energy E increases monotonically with respect to the noncommutative parameter and the minimal length parameter. Additionally, we also report some special cases aiming to discuss the effect of the noncommutative coordinate space and the minimal length in the energy spectrum.

Keywords: DKP oscillator noncommutative space minimal length momentum space representation

Received: 10 July 2017
Revised: 17 September 2017
Accepted manuscript online:

PACS:	03.65.Pm	(Relativistic wave equations)
	03.65.Ge	(Solutions of wave equations: bound states)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11465006 and 11565009) and the Project of Research Foundation for Graduate Students in Guizhou Province, China (Grant No. (2017)11108).

Corresponding Authors: Zheng-Wen Long
E-mail: zwlong@gzu.edu.cn

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Bing-Qian Wang(王炳乾), Zheng-Wen Long(隆正文), Chao-Yun Long(龙超云), Shu-Rui Wu(吴淑蕊) Solution of the spin-one DKP oscillator under an external magnetic field in noncommutative space with minimal length 2018 Chin. Phys. B 27 010301

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[1]	Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength Y Chargui, L Chetouani, and A Trabelsi. Chin. Phys. B, 2010, 19(2): 020305.

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Solution of the spin-one DKP oscillator under an external magnetic field in noncommutative space with minimal length

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