Generalized Klein-Gordon oscillator in Lorentz symmetry violation framework

Wang En-Quan; Chen Hao; Yang Yi; Long Zheng-Wen; Hassanabadi Hassan

doi:10.7498/aps.71.20211733

Abstract

In this paper, the generalized Klein-Gordon oscillator is studied in the framework of Lorentz symmetry violation, and the Nikiforov-Uvarov method is used to analyze the Klein-Gordon oscillator with and without magnetic field. On this basis, we analyze some special cases of Klein-Gordon oscillators with Cornell potential functions in detail. The results show that the wave function and the energy eigenvalues of the generalized Klein-Gordon oscillator obviously depend on the Lorentz symmetry violation effect, and the Cornell potential function also has a non-negligible effect on the Klein-Gordon oscillator.

Keywords:

Authors and contacts

1.
College of Physics, Guizhou University, Guiyang 550025, China
2.
Faculty of Physics, Shahrood University of Technology, Shahrood, Iran

Corresponding author: Long Zheng-Wen, zwlong@gzu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11465006, 11565009)

FullText HTML : translate this paragraph

References

[1]	Dvoeglazov V V 1994 Nuovo Cimento II 107A 1413 Google Scholar
[2]	Bruce S, Minning P 1993 Nuovo Cimento II 106A 711 Google Scholar
[3]	Moshinsky M 1989 J. Phys. A: Math. Gen. 22 L817 Google Scholar
[4]	Ito D, Mori K, Carriere E 1967 Nuovo Cimento A 51 1119 Google Scholar
[5]	Ahmed F 2020 Eur. Phys. J. C 80 209 Google Scholar
[6]	Ahmed F 2019 Gen. Relativ. Gravitation 51 210 Google Scholar
[7]	Ahmed F 2020 Europhys. Lett. 130 40003 Google Scholar
[8]	Deng L F, Long C Y, Long Z W, Xu T 2019 Eur. Phys. J. Plus 134 355 Google Scholar
[9]	Yang Y, Long Z W, Ran Q K, Chen H, Zhao Z L, Long C Y 2021 Int. J. Mod. Phys. A 36 2150023 Google Scholar
[10]	Lutfuolu B C, Ká J, Sedaghatnia P, Hassanabadi H 2020 Eur. Phys. J. Plus 135 2020 Google Scholar
[11]	Yang Y, Cai S H, Long Z W, Chen H, Long C Y 2020 Chin. Phys. B 29 070302 Google Scholar
[12]	Zare S, Hassanabadi H, Montigny M D 2020 Gen. Relativ. Gravitation 52 3 Google Scholar
[13]	Chen H, Long Z W, Yang Y, Zhao Z L, Long C Y 2020 Int. J. Mod. Phys. A 35 2050107 Google Scholar
[14]	Yang Y, Long Z W, Chen H, Zhao Z L, Long C Y 2021 Mod. Phys. Lett. A 36 2150059 Google Scholar
[15]	Chen H, Long Z W, Ran Q K, Yang Y, Long C Y 2020 EPL 132 50006 Google Scholar
[16]	Deng L F, Long C Y, Long Z W, Xu T 2018 Adv. High Energy Phys. 1 2018 Google Scholar
[17]	Bardeen J, Cooper L N, Schrieffe J R 1957 Phys. Rev. 106 162 Google Scholar
[18]	Kostelecky V A, Samuel S 1989 Phys. Rev. Lett. 63 224 Google Scholar
[19]	Bakke K, Belich H 2012 J. Phys. G: Nucl. Part. Phys. 39 085001 Google Scholar
[20]	Bakke K, Belich H 2015 J. Phys. G: Nucl. Part. Phys. 42 095001 Google Scholar
[21]	Bakke K, Belich H 2015 Ann. Phys. 354 1 Google Scholar
[22]	Bakke K, Belich H 2020 Eur. Phys. J. Plus 135 656 Google Scholar
[23]	Bakke K, Belich H 2020 Commun. Theor. Phys. 72 105204 Google Scholar
[24]	Belich H, Costa-Soares T, Ferreira Jr M M, Helayel-Neto J A, Orlando M T D 2006 Phys. Lett. B 639 675 Google Scholar
[25]	Belich H, Costa-Soares T, Ferreira Jr M M, Helayel-Neto J A 2005 Eur. Phys. J. C 41 421 Google Scholar
[26]	Bakke K, Belich H 2019 Int. J. Mod. Phys. A 34 1950116 Google Scholar
[27]	Bakke K, Furtado C, Belich H 2016 Ann. Phys. 372 544 Google Scholar
[28]	Bakke K, Belich H 2016 Ann. Phys. 373 115 Google Scholar
[29]	Vitóro R L L, Belich H 2018 Eur. Phys. J. C 78 999 Google Scholar
[30]	Kostelecky A V, Mewes M 2001 Phys. Rev. Lett. 87 251304 Google Scholar
[31]	Kostelecky A V, Mewes M 2002 Phys. Rev. D 66 056005 Google Scholar
[32]	Kostelecky A V, Mewes M 2006 Phys. Rev. Lett. 97 140401 Google Scholar
[33]	Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M 1978 Phys. Rev. D 17 3090 Google Scholar
[34]	Lima D F, Andrade F M, Castro L B, Filgueiras C, Silva E O 2019 Eur. Phys. J. C 79 596 Google Scholar
[35]	Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M 1976 Phys. Rev. Lett. 36 500 Google Scholar
[36]	Quigg C, Rosner J L 1979 Phys. Rep. 56 167 Google Scholar
[37]	Aharonov Y, Casher A 1984 Phys. Rev. Lett. 53 319 Google Scholar
[38]	Ribeiro L R, Furtado C, Nascimento J R 2006 Phys. Lett. A 348 135 Google Scholar
[39]	Furtado C, Nascimento J R, Ribeiro L R 2006 Phys. Lett. A 358 336 Google Scholar
[40]	Bakke K, Furtado C 2014 Eur. Phys. J. B 87 222 Google Scholar
[41]	Tezcan C, Sever R 2009 Int. J. Theor. Phys. 48 377 Google Scholar
[42]	Nikiforov A F, Uvarovm V B 1988 Special Functions of Mathematical Physics (Basel: Springer) pp1–14
[43]	Hassanabadi H, Maghsoodi E, Zarrinkamar S, Rahimov H 2012 J. Math. Phys. 53 022104 Google Scholar
[44]	de Montigny M, Zare S, Hassanabadi H 2018 Gen. Relativ. Gravitation 50 47 Google Scholar
[45]	Sedaghatnia P, Hassanabadi H, Ahmed F 2019 Eur. Phys. J. C 79 541 Google Scholar
[46]	Rahimov H, Nikoofard H, Zarrinkamar S, Hassanabadi H 2013 Appl. Math. Comput. 219 4710 Google Scholar
[47]	Hassanabadi H, Zarrinkamar S, Rajabi A A 2011 Commun. Theor. Phys. 55 541 Google Scholar
[48]	Hosseinpour M, Hassanabadi H, de Montigny M 2018 Int. J. Geom. Meth. Mod. Phys. 15 1850165 Google Scholar

Cited By

图 1 以$\rho$为变量取4个不同$\lambda$值的径向波函数

Figure 1. Radial wave functions as a function of $\rho$ for different $\lambda$.

DownLoad: Full-Size Img PowerPoint

图 2 以$\rho$为变量取4个不同$\varXi_1$值的径向波函数

Figure 2. Radial wave functions as a function of $\rho$ for different $\varXi_1$.

DownLoad: Full-Size Img PowerPoint

图 3 以n为变量取个不同$\varXi_1$值的能量

Figure 3. Energy eigenvalue as a function of n for different $\varXi_1$.

DownLoad: Full-Size Img PowerPoint

图 4 以$\lambda$为变量取4个不同$B_0$值的能量

Figure 4. Energy eigenvalue as a function of $\lambda$ for different $B_0$

DownLoad: Full-Size Img PowerPoint

[1]	Dvoeglazov V V 1994 Nuovo Cimento II 107A 1413 Google Scholar
[2]	Bruce S, Minning P 1993 Nuovo Cimento II 106A 711 Google Scholar
[3]	Moshinsky M 1989 J. Phys. A: Math. Gen. 22 L817 Google Scholar
[4]	Ito D, Mori K, Carriere E 1967 Nuovo Cimento A 51 1119 Google Scholar
[5]	Ahmed F 2020 Eur. Phys. J. C 80 209 Google Scholar
[6]	Ahmed F 2019 Gen. Relativ. Gravitation 51 210 Google Scholar
[7]	Ahmed F 2020 Europhys. Lett. 130 40003 Google Scholar
[8]	Deng L F, Long C Y, Long Z W, Xu T 2019 Eur. Phys. J. Plus 134 355 Google Scholar
[9]	Yang Y, Long Z W, Ran Q K, Chen H, Zhao Z L, Long C Y 2021 Int. J. Mod. Phys. A 36 2150023 Google Scholar
[10]	Lutfuolu B C, Ká J, Sedaghatnia P, Hassanabadi H 2020 Eur. Phys. J. Plus 135 2020 Google Scholar
[11]	Yang Y, Cai S H, Long Z W, Chen H, Long C Y 2020 Chin. Phys. B 29 070302 Google Scholar
[12]	Zare S, Hassanabadi H, Montigny M D 2020 Gen. Relativ. Gravitation 52 3 Google Scholar
[13]	Chen H, Long Z W, Yang Y, Zhao Z L, Long C Y 2020 Int. J. Mod. Phys. A 35 2050107 Google Scholar
[14]	Yang Y, Long Z W, Chen H, Zhao Z L, Long C Y 2021 Mod. Phys. Lett. A 36 2150059 Google Scholar
[15]	Chen H, Long Z W, Ran Q K, Yang Y, Long C Y 2020 EPL 132 50006 Google Scholar
[16]	Deng L F, Long C Y, Long Z W, Xu T 2018 Adv. High Energy Phys. 1 2018 Google Scholar
[17]	Bardeen J, Cooper L N, Schrieffe J R 1957 Phys. Rev. 106 162 Google Scholar
[18]	Kostelecky V A, Samuel S 1989 Phys. Rev. Lett. 63 224 Google Scholar
[19]	Bakke K, Belich H 2012 J. Phys. G: Nucl. Part. Phys. 39 085001 Google Scholar
[20]	Bakke K, Belich H 2015 J. Phys. G: Nucl. Part. Phys. 42 095001 Google Scholar
[21]	Bakke K, Belich H 2015 Ann. Phys. 354 1 Google Scholar
[22]	Bakke K, Belich H 2020 Eur. Phys. J. Plus 135 656 Google Scholar
[23]	Bakke K, Belich H 2020 Commun. Theor. Phys. 72 105204 Google Scholar
[24]	Belich H, Costa-Soares T, Ferreira Jr M M, Helayel-Neto J A, Orlando M T D 2006 Phys. Lett. B 639 675 Google Scholar
[25]	Belich H, Costa-Soares T, Ferreira Jr M M, Helayel-Neto J A 2005 Eur. Phys. J. C 41 421 Google Scholar
[26]	Bakke K, Belich H 2019 Int. J. Mod. Phys. A 34 1950116 Google Scholar
[27]	Bakke K, Furtado C, Belich H 2016 Ann. Phys. 372 544 Google Scholar
[28]	Bakke K, Belich H 2016 Ann. Phys. 373 115 Google Scholar
[29]	Vitóro R L L, Belich H 2018 Eur. Phys. J. C 78 999 Google Scholar
[30]	Kostelecky A V, Mewes M 2001 Phys. Rev. Lett. 87 251304 Google Scholar
[31]	Kostelecky A V, Mewes M 2002 Phys. Rev. D 66 056005 Google Scholar
[32]	Kostelecky A V, Mewes M 2006 Phys. Rev. Lett. 97 140401 Google Scholar
[33]	Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M 1978 Phys. Rev. D 17 3090 Google Scholar
[34]	Lima D F, Andrade F M, Castro L B, Filgueiras C, Silva E O 2019 Eur. Phys. J. C 79 596 Google Scholar
[35]	Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M 1976 Phys. Rev. Lett. 36 500 Google Scholar
[36]	Quigg C, Rosner J L 1979 Phys. Rep. 56 167 Google Scholar
[37]	Aharonov Y, Casher A 1984 Phys. Rev. Lett. 53 319 Google Scholar
[38]	Ribeiro L R, Furtado C, Nascimento J R 2006 Phys. Lett. A 348 135 Google Scholar
[39]	Furtado C, Nascimento J R, Ribeiro L R 2006 Phys. Lett. A 358 336 Google Scholar
[40]	Bakke K, Furtado C 2014 Eur. Phys. J. B 87 222 Google Scholar
[41]	Tezcan C, Sever R 2009 Int. J. Theor. Phys. 48 377 Google Scholar
[42]	Nikiforov A F, Uvarovm V B 1988 Special Functions of Mathematical Physics (Basel: Springer) pp1–14
[43]	Hassanabadi H, Maghsoodi E, Zarrinkamar S, Rahimov H 2012 J. Math. Phys. 53 022104 Google Scholar
[44]	de Montigny M, Zare S, Hassanabadi H 2018 Gen. Relativ. Gravitation 50 47 Google Scholar
[45]	Sedaghatnia P, Hassanabadi H, Ahmed F 2019 Eur. Phys. J. C 79 541 Google Scholar
[46]	Rahimov H, Nikoofard H, Zarrinkamar S, Hassanabadi H 2013 Appl. Math. Comput. 219 4710 Google Scholar
[47]	Hassanabadi H, Zarrinkamar S, Rajabi A A 2011 Commun. Theor. Phys. 55 541 Google Scholar
[48]	Hosseinpour M, Hassanabadi H, de Montigny M 2018 Int. J. Geom. Meth. Mod. Phys. 15 1850165 Google Scholar

[1]	Pu Jin, Yang Shu-Zheng, Lin Kai. Lorentz-violating theory and tunneling radiation characteristics of Dirac particles in curved spacetime of Vaidya black hole. Acta Physica Sinica, 2019, 68(19): 190401. doi: 10.7498/aps.68.20190437
[2]	Lu Fa-Lin, Chen Chang-Yuan, You Yuan. Approximate analytical solutions of bound states for the double ring-shaped Hulthn potential. Acta Physica Sinica, 2013, 62(20): 200301. doi: 10.7498/aps.62.200301
[3]	Zhang Min-Cang. Quesne-like ring-shaped spherical harmonic oscillator potential and pseudospin symmetry. Acta Physica Sinica, 2009, 58(2): 712-716. doi: 10.7498/aps.58.712
[4]	Zhang Min-Cang. A relativistic non-harmonic oscillator potential and pseudospin symmetry. Acta Physica Sinica, 2009, 58(1): 61-65. doi: 10.7498/aps.58.61
[5]	Zhang Min-Cang, Wang Zhen-Bang. Bound state solutions of relativistic particles in a new ring-shaped non-harmonic oscillator potential. Acta Physica Sinica, 2007, 56(7): 3688-3692. doi: 10.7498/aps.56.3688
[6]	Zhang Min-Cang, Wang Zhen-Bang. Bound state solutions of the Dirac equation with the Makarov potentials. Acta Physica Sinica, 2006, 55(12): 6229-6233. doi: 10.7498/aps.55.6229
[7]	Zhang Min-Cang, Wang Zhen-Bang. Bound states of relativistic particles in the second P?schl-Teller potentials. Acta Physica Sinica, 2006, 55(2): 525-528. doi: 10.7498/aps.55.525
[8]	Chen Chang-Yuan, Sun Dong-Sheng, Lu Fa-Lin. The relativistic bound states of Coulomb potential plus a new ring-shaped potential. Acta Physica Sinica, 2006, 55(8): 3875-3879. doi: 10.7498/aps.55.3875
[9]	Chen Zi-Dong, Chen Gang. Bound states solutions of the Klein-Gordon equation with Hartmann potential and recursion relations. Acta Physica Sinica, 2005, 54(6): 2524-2527. doi: 10.7498/aps.54.2524
[10]	Lou Zhi-Mei. Lagrangian function and conserved quantity of onedimensional relativistic harmonic oscillator containing a quadratic velocity drag force term. Acta Physica Sinica, 2005, 54(4): 1457-1459. doi: 10.7498/aps.54.1457
[11]	Li Ning, Ju Guo-Xing, Ren Zhong-Zhou. Bound states for a kind of relativistic non-harmonic oscillator systems. Acta Physica Sinica, 2005, 54(6): 2520-2523. doi: 10.7498/aps.54.2520
[12]	Chen Gang. Bound states of relativistic particles in Rosen-Morse potential. Acta Physica Sinica, 2004, 53(3): 684-687. doi: 10.7498/aps.53.684
[13]	Lu Fa-Lin, Chen Chang-Yuan. Bound states of Klein-Gordon equation for ring-shaped non-spherical harmonic oscillator potentials. Acta Physica Sinica, 2004, 53(6): 1652-1656. doi: 10.7498/aps.53.1652
[14]	Chen Gang, Lou Zhi-Mei. Bound states of relativistic particles in a potential with four parameters for d iatomic molecules. Acta Physica Sinica, 2003, 52(5): 1075-1078. doi: 10.7498/aps.52.1075
[15]	Chen Gang, Lou Zhi-Mei. Bound states of relativistic particles in reflectionless-type potential. Acta Physica Sinica, 2003, 52(5): 1071-1074. doi: 10.7498/aps.52.1071
[16]	Guo Jian-You. . Acta Physica Sinica, 2002, 51(7): 1453-1457. doi: 10.7498/aps.51.1453
[17]	. . Acta Physica Sinica, 2000, 49(2): 339-343. doi: 10.7498/aps.49.339
[18]	HUANG HENG-JI, YASUNARI ZEMPO. SCATTERING AND BOUND STATES DUE TO THE POTENTIAL FIELD IN A LATTICE WITH THE LONG-RANGE TOPOLOGICAL DISORDER OF A SCREW DISLOCASION.. Acta Physica Sinica, 1992, 41(5): 804-808. doi: 10.7498/aps.41.804
[19]	HU SI-ZHU, SU RU-KENG. BOUND STATES OF THE DIRAC EQUATIONS WITH HULTHéN-TYPE POTENTIALS. Acta Physica Sinica, 1991, 40(8): 1201-1206. doi: 10.7498/aps.40.1201
[20]	ZHANG SHI-WEI, SU RU-KENG. THE BOSON BOUND STATES IN KERR METRIE. Acta Physica Sinica, 1982, 31(3): 311-317. doi: 10.7498/aps.31.311

Catalog

Vol. 71, Issue 6 - 2022-03-20

Metrics

Abstract views: 2962
PDF Downloads: 62
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板