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

中国物理B ›› 2018, Vol. 27 ›› Issue (1): 10301-010301.doi: 10.1088/1674-1056/27/1/010301

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

Bing-Qian Wang(王炳乾), Zheng-Wen Long(隆正文), Chao-Yun Long(龙超云), Shu-Rui Wu(吴淑蕊)

1 College of Mathematics and Statistics, Guizhou University, Guiyang 550025, China;
2 College of Physics, Guizhou University, Guiyang 550025, China

收稿日期:2017-07-10 修回日期:2017-09-17 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: Zheng-Wen Long E-mail:zwlong@gzu.edu.cn
基金资助:
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).

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

Bing-Qian Wang(王炳乾)¹, Zheng-Wen Long(隆正文)², Chao-Yun Long(龙超云)², Shu-Rui Wu(吴淑蕊)²

1 College of Mathematics and Statistics, Guizhou University, Guiyang 550025, China;
2 College of Physics, Guizhou University, Guiyang 550025, China

Received:2017-07-10 Revised:2017-09-17 Online:2018-01-05 Published:2018-01-05
Contact: Zheng-Wen Long E-mail:zwlong@gzu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: DKP oscillator, noncommutative space, minimal length, momentum space representation

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.

Key words: DKP oscillator, noncommutative space, minimal length, momentum space representation

中图分类号: (Relativistic wave equations)

03.65.Pm

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

王炳乾, 隆正文, 龙超云, 吴淑蕊. Solution of the spin-one DKP oscillator under an external magnetic field in noncommutative space with minimal length[J]. 中国物理B, 2018, 27(1): 10301-010301.

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[J]. Chin. Phys. B, 2018, 27(1): 10301-010301.

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

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

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