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

中国物理B ›› 2020, Vol. 29 ›› Issue (7): 70302-070302.doi: 10.1088/1674-1056/ab888e

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

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)

1 College of Physics, Guizhou University, Guiyang 550025, China;
2 School of Information, Guizhou University of Finance and Economics, Guiyang 550025, China

收稿日期:2020-01-21 修回日期:2020-04-03 出版日期:2020-07-05 发布日期:2020-07-05
通讯作者: Shao-Hong Cai, Zheng-Wen Long E-mail:caish@mail.gufe.edu.cn;zwlong@gzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11465006 and 11565009).

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

Yi Yang(杨毅)¹, Shao-Hong Cai(蔡绍洪)², Zheng-Wen Long(隆正文)¹, Hao Chen(陈浩)¹, Chao-Yun Long(龙超云)¹

1 College of Physics, Guizhou University, Guiyang 550025, China;
2 School of Information, Guizhou University of Finance and Economics, Guiyang 550025, China

Received:2020-01-21 Revised:2020-04-03 Online:2020-07-05 Published:2020-07-05
Contact: Shao-Hong Cai, Zheng-Wen Long E-mail:caish@mail.gufe.edu.cn;zwlong@gzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11465006 and 11565009).

摘要/Abstract

摘要： 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.

关键词: generalized Kemmer oscillator, cosmic string, exact solutions

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.

Key words: generalized Kemmer oscillator, cosmic string, exact solutions

中图分类号: (Relativistic wave equations)

03.65.Pm

11.27.+d (Extended classical solutions; cosmic strings, domain walls, texture) 03.65.Ge (Solutions of wave equations: bound states)

杨毅, 蔡绍洪, 隆正文, 陈浩, 龙超云. Exact solution of the (1+2)-dimensional generalized Kemmer oscillator in the cosmic string background with the magnetic field[J]. 中国物理B, 2020, 29(7): 70302-070302.

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[J]. Chin. Phys. B, 2020, 29(7): 70302-070302.

参考文献 62

[1]	Moshinsky M and Szczepaniak A 1989 J. Phys. A: Math. Gen. 22 L817
[2]	Ito D, Mori K and Carriere E 1967 Nuov. Cim. A 51 1119 doi: 10.1007/BF02721775
[3]	Moreno M and Zentella A 1989 J. Phys. A: Math. Gen. 22 L821
[4]	Martinez-y-Moreno R P and Salas-Brito A L 1992 J. Math. Phys. 33 1831 doi: 10.1063/1.529660
[5]	Boumali A and Hassanabadi H 2015 Z. Naturforsch. A 70 619 doi: 10.1515/zna-2015-0140
[6]	Sari R A, Suparmi A and Cari C 2016 Chin. Phys. B 25 010301 doi: 10.1088/1674-1056/25/1/010301
[7]	Kurniawan A, Suparmi A and Cari C 2015 Chin. Phys. B 24 030302 doi: 10.1088/1674-1056/24/3/030302
[8]	Suparmi A, Cari C and Deta U A 2014 Chin. Phys. B 23 090304 doi: 10.1088/1674-1056/23/9/090304
[9]	Maghsoodi E, Hassanabadi H and Zarrinkamar S 2013 Chin. Phys. B 22 030302 doi: 10.1088/1674-1056/22/3/030302
[10]	Chargui Y, Trabelsi A and Chetouani L 2010 Phys. Lett. A 374 2907 doi: 10.1016/j.physleta.2010.05.025
[11]	Franco-Villafane J A, Sadurni E, Barkhofen S, Kuhl U, Mortessagne F and Seligman T H 2013 Phys. Rev. Lett. 111 170405 doi: 10.1103/PhysRevLett.111.170405
[12]	Grineviciute J and Halderson D 2012 Phys. Rev. C 85 054617 doi: 10.1103/PhysRevC.85.054617
[13]	Munarriz J, Dominguez-Adamea F and Limab R P A 2012 Phys. Lett. A 376 3475 doi: 10.1016/j.physleta.2012.10.029
[14]	Bermudez A, Martin-Delgado M A and Solano E 2007 Phys. Rev. Lett. 99 123602 doi: 10.1103/PhysRevLett.99.123602
[15]	Lamata L, Leon J, Schatz T and Solano E 2007 Phys. Rev. Lett. 98 253005 doi: 10.1103/PhysRevLett.98.253005
[16]	Kemmer N 1939 Proc. R. Soc. Lond. A 173 91 doi: 10.1098/rspa.1939.0131
[17]	Bednar M, Ndimubandi J and Nikitin A G 1997 Can. J. Phys. 75 283 doi: 10.1139/p96-147
[18]	Montigny M D, Khanna F C, Santana A E, Santos E S and Vianna J D M 2000 J. Phys. A: Math. Gen. 33 L273
[19]	Gribov V 1999 Eur. Phys. J. C 10 71 doi: 10.1007/s100529900051
[20]	Boutabia-Cheraitia B and Boudjedaa T 2005 Phys. Lett. A 338 97 doi: 10.1016/j.physleta.2005.02.029
[21]	Fernandes M C B, Santana A E and Vianna J D M 2003 J. Phys. A: Math. Gen. 36 3841 doi: 10.1088/0305-4470/36/13/315
[22]	Krase L D, Pao L and Good R H 1971 Phys. Rev. D 3 1275
[23]	Goldman J T and Tsai W Y 1971 Phys. Rev. D 4 3648 doi: 10.1103/PhysRevD.4.3648
[24]	Tsai W Y 1971 Phys. Rev. D 4 3652 doi: 10.1103/PhysRevD.4.3652
[25]	Hamzavi M, Ikhdair S M and Thylwe K E 2012 Z. Naturforsch. A 67 567 doi: 10.5560/zna.2012-0046
[26]	Hamzavi M, Rajabi A A 2011 Commun. Theor. Phys. 55 35 doi: 10.1088/0253-6102/55/1/07
[27]	Moghadam S A, Eshghi M and Mehraban H 2014 Phys. Scr. 89 095202 doi: 10.1088/0031-8949/89/9/095202
[28]	Ikot A N, Maghsoodi E, Ibanga E J, Zarrinkamar S and Hassanabadi H 2013 Chin. Phys. B 22 120302 doi: 10.1088/1674-1056/22/12/120302
[29]	Aydogdu O, Sever R 2009 Phys. Scr. 80 015001 doi: 10.1088/0031-8949/80/01/015001
[30]	Hassanabadi H, Maghsoodi E and Zarrinkamar S 2012 J. Math. Phys. 53 022104 doi: 10.1063/1.3683078
[31]	Sedaghatnia P, Hassanabadi H and Ahmed F 2019 Eur. Phys. J. C 79 541 doi: 10.1140/epjc/s10052-019-7051-6
[32]	Rahimov H, Nikoofard H, Zarrinkamar S and Hassanabadi H 2013 Appl. Math. Comput. 219 4710
[33]	Hassanabadi H, Zarrinkamar S and Rajabi A A 2011 Commun. Theor. Phys. 55 541 doi: 10.1088/0253-6102/55/4/01
[34]	Bakke K 2013 Gen. Rel. Grav. 45 1847 doi: 10.1007/s10714-013-1561-6
[35]	Oliveira R R S 2019 Gen. Rel. Grav. 51 120 doi: 10.1007/s10714-019-2606-2
[36]	Da Silva W C F and Bakke K 2019 Class. Quantum Grav. 36 235002 doi: 10.1088/1361-6382/ab4f03
[37]	Cuzinatto R R, De Montigny M and Pompeia P J 2019 Gen. Rel. Grav. 51 107 doi: 10.1007/s10714-019-2593-3
[38]	Ikot A N, Abbey T M, Chukwuocha E O and Onyeaju M C 2016 Can. J. Phys. 94 517
[39]	Bakke K and Mota H 2018 Eur. Phys. J. Plus 133 409 doi: 10.1140/epjp/i2018-12268-6
[40]	Oliveira R R S 2019 Eur. Phys. J. C 79 725 doi: 10.1140/epjc/s10052-019-7237-y
[41]	Maia A V D M and Bakke K 2019 Eur. Phys. J. C 79 551 doi: 10.1140/epjc/s10052-019-7067-y
[42]	Oliveira R R S 2019 Eur. Phys. J. C 79 725 doi: 10.1140/epjc/s10052-019-7237-y
[43]	Zhao Z L, Long C Y, Long Z W and Xu T 2017 Chin. Phys. B 26 080301 doi: 10.1088/1674-1056/26/8/080301
[44]	Messai N and Boumali A 2015 Eur. Phys. J. Plus 130 140 doi: 10.1140/epjp/i2015-15140-3
[45]	Hosseinpour M, Hassanabadi H and Andrade F M 2018 Eur. Phys. J. C 78 93 doi: 10.1140/epjc/s10052-018-5574-x
[46]	Linet B 1985 Gen. Rel. Grav. 17 1109 doi: 10.1007/BF00774211
[47]	Vilenkin A 1985 Phys. Rept. 121 263 doi: 10.1016/0370-1573(85)90033-X
[48]	Sogut K and Havare A 2006 Class. Quantum Grav. 23 7129 doi: 10.1088/0264-9381/23/23/031
[49]	Carvalho J, Furtado C and Moraes F 2011 Phys. Rev. A 84 032109 doi: 10.1103/PhysRevA.84.032109
[50]	Unal N 2005 Concepts Phys. Ⅱ 273
[51]	Deng L F, Long C Y, Long Z W and Xu T 2018 Adv. High Energy Phys. 2018 2741694
[52]	Qiang W C, Zhou R S and Gao Y 2007 J. Phys. A: Math. Theor. 40 1677 doi: 10.1088/1751-8113/40/7/016
[53]	Vitoria R L L, Belich H and Bakke K 2017 Eur. Phys. J. Plus 132 25 doi: 10.1140/epjp/i2017-11305-4
[54]	Vitoria R L L and Bakke K 2018 Eur. Phys. J. Plus 133 490 doi: 10.1140/epjp/i2018-12310-9
[55]	Bakke K and Furtado C 2015 Ann. Phys. 355 48 doi: 10.1016/j.aop.2015.01.028
[56]	Vitoria R L L and Bakke K 2016 Eur. Phys. J. Plus 131 36 doi: 10.1140/epjp/i2016-16036-4
[57]	Figueiredo-Medeiros E R and De Mello E R B 2012 Eur. Phys. J. C 72 2051 doi: 10.1140/epjc/s10052-012-2051-9
[58]	Sobhani H, Ikot A N and Hassanabadi H 2017 Eur. Phys. J. Plus 132 240 doi: 10.1140/epjp/i2017-11493-9
[59]	Sobhani H, Hassanabadi H and Chung W S 2018 Nucl. Phys. A 973 33 doi: 10.1016/j.nuclphysa.2018.02.007
[60]	Hosseini M, Hassanabadi H, Hassanabadi S and Sedaghatnia P 2019 Int. J. Geom. Methods Mod. Phys. 16 1950054 doi: 10.1142/S0219887819500543
[61]	Sargolzaeipor S, Hassanabadi H and Chung W S 2019 Mod. Phys. Lett. A 34 1950183
[62]	Vieira H S and Bezerra V B 2015 J. Math. Phys. 56 092501 doi: 10.1063/1.4930871

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

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

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 62

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	柴若霖, 谢琼涛, 刘小良. Exact scattering states in one-dimensional Hermitian and non-Hermitian potentials[J]. 中国物理B, 2020, 29(9): 90301-090301.
[2]	董晓菲, 谢幼飞, 陈庆虎. Unified approach to various quantum Rabi models witharbitrary parameters[J]. 中国物理B, 2020, 29(2): 20302-020302.
[3]	Hakan Ciftci, H F Kisoglu. Application of asymptotic iteration method to a deformed well problem[J]. 中国物理B, 2016, 25(3): 30201-030201.
[4]	Ozkan Guner, Ahmet Bekir. Bright and dark soliton solutions for some nonlinear fractional differential equations[J]. 中国物理B, 2016, 25(3): 30203-030203.
[5]	朱维婷, 马松华, 方建平, 马正义, 朱海平. Fusion, fission, and annihilation of complex waves for the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff system[J]. 中国物理B, 2014, 23(6): 60505-060505.
[6]	B. Srividya, L. Kavitha, R. Ravichandran, D. Gopi. Oscillating multidromion excitations in higher-dimensional nonlinear lattice with intersite and external on-site potentials using symbolic computation[J]. 中国物理B, 2014, 23(1): 10307-010307.
[7]	刘萍, 李子良. Exact solutions of (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations[J]. 中国物理B, 2013, 22(5): 50204-050204.
[8]	Vikas Kumar, R. K. Gupta, Ram Jiwari. Comparative study of travelling wave and numerical solutions for the coupled short pulse (CSP) equation[J]. 中国物理B, 2013, 22(5): 50201-050201.
[9]	陈元明, 马松华, 马正义. New exact solutions of (3+1)-dimensional Jimbo-Miwa system[J]. 中国物理B, 2013, 22(5): 50510-050510.
[10]	陈俊超, 李彪, 陈勇. Novel exact solutions of coupled nonlinear Schrödinger equations with time–space modulation[J]. 中国物理B, 2013, 22(11): 110306-110306.
[11]	张聪, 郭文安, 冯世平, 杨师杰. Skyrmion crystals in pseudo-spin-1/2 Bose–Einstein condensates[J]. 中国物理B, 2013, 22(11): 110308-110308.
[12]	Lakhveer Kaur, R. K. Gupta. On certain new exact solutions of the Einstein equations for axisymmetric rotating fields[J]. 中国物理B, 2013, 22(10): 100203-100203.
[13]	Nisha Goyal, R. K. Gupta. New exact solutions of Einstein–Maxwell equations for magnetostatic fields[J]. 中国物理B, 2012, 21(9): 90401-090401.
[14]	杨征, 马松华, 方建平. Soliton excitations and chaotic patterns for the (2+1)-dimensional Boiti–Leon–Pempinelli system[J]. 中国物理B, 2011, 20(6): 60506-060506.
[15]	套格图桑, 那仁满都拉. Constructing infinite sequence exact solutions of nonlinear evolution equations[J]. 中国物理B, 2011, 20(11): 110203-110203.