洛伦兹对称破缺框架下的广义克莱因-戈尔登谐振子

王恩权; 陈浩; 杨毅; 隆正文; HassanabadiHassan

doi:10.7498/aps.71.20211733

摘要

在洛伦兹对称破缺的背景下研究了广义克莱因-戈尔登谐振子, 主要使用Nikiforov-Uvarov方法分析了有磁场和无磁场两种情况下的克莱因-戈尔登谐振子. 在此基础上, 详细分析了具有康奈尔势函数的克莱因-戈尔登谐振子的一些特殊情况. 结果表明, 广义克莱因-戈尔登谐振子的波函数和能量本征值明显依赖于洛伦兹对称破缺效应, 另外, 康奈尔势函数对克莱因-戈尔登谐振子也有着不可忽略的影响.

关键词:

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:

作者及机构信息

1.
贵州大学物理学院, 贵阳　550025

2.
Faculty of Physics, Shahrood University of Technology, Shahrood, Iran

通信作者: 隆正文, zwlong@gzu.edu.cn

基金项目: 国家自然科学基金(批准号: 11465006, 11565009)资助的课题.

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)

文章全文 : translate this paragraph

参考文献

[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

施引文献

图 1 以$\rho$为变量取4个不同$\lambda$值的径向波函数

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

下载: 全尺寸图片幻灯片

图 2 以$\rho$为变量取4个不同$\varXi_1$值的径向波函数

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

下载: 全尺寸图片幻灯片

图 3 以n为变量取个不同$\varXi_1$值的能量

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

下载: 全尺寸图片幻灯片

图 4 以$\lambda$为变量取4个不同$B_0$值的能量

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

下载: 全尺寸图片幻灯片

[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

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洛伦兹对称破缺框架下的广义克莱因-戈尔登谐振子