Exact solution of the (1+2)-dimensional generalized Kemmer oscillator in the cosmic string background with the magnetic field

doi:10.1088/1674-1056/ab888e

Abstract We study a two-dimensional generalized Kemmer oscillator in the cosmic string spacetime with the magnetic field to better understand the contribution from gravitational field caused by topology defects, and present the exact solutions to the generalized Kemmer equation in the cosmic string with the Morse potential and Coulomb-liked potential through using the Nikiforov-Uvarov (NU) method and biconfluent Heun equation method, respectively. Our results give the topological defect's correction for the wave function, energy spectrum and motion equation, and show that the energy levels of the generalized Kemmer oscillator rely on the angular deficit α connected with the linear mass density m of the cosmic string and characterized the metric's structure in the cosmic string spacetime.

Keywords: generalized Kemmer oscillator cosmic string exact solutions

Received: 21 January 2020
Revised: 03 April 2020
Accepted manuscript online:

PACS:	03.65.Pm	(Relativistic wave equations)
	11.27.+d	(Extended classical solutions; cosmic strings, domain walls, texture)
	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).

Corresponding Authors: Shao-Hong Cai, Zheng-Wen Long
E-mail: caish@mail.gufe.edu.cn;zwlong@gzu.edu.cn

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Yi Yang(杨毅), Shao-Hong Cai(蔡绍洪), Zheng-Wen Long(隆正文), Hao Chen(陈浩), Chao-Yun Long(龙超云) Exact solution of the (1+2)-dimensional generalized Kemmer oscillator in the cosmic string background with the magnetic field 2020 Chin. Phys. B 29 070302

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Exact solution of the (1+2)-dimensional generalized Kemmer oscillator in the cosmic string background with the magnetic field

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