-
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:
- 洛伦兹对称破缺 /
- 克莱因-戈尔登谐振子 /
- 康奈尔势 /
- 相对论束缚态
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:
- Lorentz symmetry violation /
- Klein-Gordon oscillator /
- Cornell potential /
- relativistic bound states
[1] Dvoeglazov V V 1994 Nuovo Cimento II 107A 1413Google Scholar
[2] Bruce S, Minning P 1993 Nuovo Cimento II 106A 711Google Scholar
[3] Moshinsky M 1989 J. Phys. A: Math. Gen. 22 L817Google Scholar
[4] Ito D, Mori K, Carriere E 1967 Nuovo Cimento A 51 1119Google Scholar
[5] Ahmed F 2020 Eur. Phys. J. C 80 209Google Scholar
[6] Ahmed F 2019 Gen. Relativ. Gravitation 51 210Google Scholar
[7] Ahmed F 2020 Europhys. Lett. 130 40003Google Scholar
[8] Deng L F, Long C Y, Long Z W, Xu T 2019 Eur. Phys. J. Plus 134 355Google 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 2150023Google Scholar
[10] Lutfuolu B C, Ká J, Sedaghatnia P, Hassanabadi H 2020 Eur. Phys. J. Plus 135 2020Google Scholar
[11] Yang Y, Cai S H, Long Z W, Chen H, Long C Y 2020 Chin. Phys. B 29 070302Google Scholar
[12] Zare S, Hassanabadi H, Montigny M D 2020 Gen. Relativ. Gravitation 52 3Google Scholar
[13] Chen H, Long Z W, Yang Y, Zhao Z L, Long C Y 2020 Int. J. Mod. Phys. A 35 2050107Google Scholar
[14] Yang Y, Long Z W, Chen H, Zhao Z L, Long C Y 2021 Mod. Phys. Lett. A 36 2150059Google Scholar
[15] Chen H, Long Z W, Ran Q K, Yang Y, Long C Y 2020 EPL 132 50006Google Scholar
[16] Deng L F, Long C Y, Long Z W, Xu T 2018 Adv. High Energy Phys. 1 2018Google Scholar
[17] Bardeen J, Cooper L N, Schrieffe J R 1957 Phys. Rev. 106 162Google Scholar
[18] Kostelecky V A, Samuel S 1989 Phys. Rev. Lett. 63 224Google Scholar
[19] Bakke K, Belich H 2012 J. Phys. G: Nucl. Part. Phys. 39 085001Google Scholar
[20] Bakke K, Belich H 2015 J. Phys. G: Nucl. Part. Phys. 42 095001Google Scholar
[21] Bakke K, Belich H 2015 Ann. Phys. 354 1Google Scholar
[22] Bakke K, Belich H 2020 Eur. Phys. J. Plus 135 656Google Scholar
[23] Bakke K, Belich H 2020 Commun. Theor. Phys. 72 105204Google Scholar
[24] Belich H, Costa-Soares T, Ferreira Jr M M, Helayel-Neto J A, Orlando M T D 2006 Phys. Lett. B 639 675Google Scholar
[25] Belich H, Costa-Soares T, Ferreira Jr M M, Helayel-Neto J A 2005 Eur. Phys. J. C 41 421Google Scholar
[26] Bakke K, Belich H 2019 Int. J. Mod. Phys. A 34 1950116Google Scholar
[27] Bakke K, Furtado C, Belich H 2016 Ann. Phys. 372 544Google Scholar
[28] Bakke K, Belich H 2016 Ann. Phys. 373 115Google Scholar
[29] Vitóro R L L, Belich H 2018 Eur. Phys. J. C 78 999Google Scholar
[30] Kostelecky A V, Mewes M 2001 Phys. Rev. Lett. 87 251304Google Scholar
[31] Kostelecky A V, Mewes M 2002 Phys. Rev. D 66 056005Google Scholar
[32] Kostelecky A V, Mewes M 2006 Phys. Rev. Lett. 97 140401Google Scholar
[33] Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M 1978 Phys. Rev. D 17 3090Google Scholar
[34] Lima D F, Andrade F M, Castro L B, Filgueiras C, Silva E O 2019 Eur. Phys. J. C 79 596Google Scholar
[35] Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M 1976 Phys. Rev. Lett. 36 500Google Scholar
[36] Quigg C, Rosner J L 1979 Phys. Rep. 56 167Google Scholar
[37] Aharonov Y, Casher A 1984 Phys. Rev. Lett. 53 319Google Scholar
[38] Ribeiro L R, Furtado C, Nascimento J R 2006 Phys. Lett. A 348 135Google Scholar
[39] Furtado C, Nascimento J R, Ribeiro L R 2006 Phys. Lett. A 358 336Google Scholar
[40] Bakke K, Furtado C 2014 Eur. Phys. J. B 87 222Google Scholar
[41] Tezcan C, Sever R 2009 Int. J. Theor. Phys. 48 377Google 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 022104Google Scholar
[44] de Montigny M, Zare S, Hassanabadi H 2018 Gen. Relativ. Gravitation 50 47Google Scholar
[45] Sedaghatnia P, Hassanabadi H, Ahmed F 2019 Eur. Phys. J. C 79 541Google Scholar
[46] Rahimov H, Nikoofard H, Zarrinkamar S, Hassanabadi H 2013 Appl. Math. Comput. 219 4710Google Scholar
[47] Hassanabadi H, Zarrinkamar S, Rajabi A A 2011 Commun. Theor. Phys. 55 541Google Scholar
[48] Hosseinpour M, Hassanabadi H, de Montigny M 2018 Int. J. Geom. Meth. Mod. Phys. 15 1850165Google Scholar
-
-
[1] Dvoeglazov V V 1994 Nuovo Cimento II 107A 1413Google Scholar
[2] Bruce S, Minning P 1993 Nuovo Cimento II 106A 711Google Scholar
[3] Moshinsky M 1989 J. Phys. A: Math. Gen. 22 L817Google Scholar
[4] Ito D, Mori K, Carriere E 1967 Nuovo Cimento A 51 1119Google Scholar
[5] Ahmed F 2020 Eur. Phys. J. C 80 209Google Scholar
[6] Ahmed F 2019 Gen. Relativ. Gravitation 51 210Google Scholar
[7] Ahmed F 2020 Europhys. Lett. 130 40003Google Scholar
[8] Deng L F, Long C Y, Long Z W, Xu T 2019 Eur. Phys. J. Plus 134 355Google 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 2150023Google Scholar
[10] Lutfuolu B C, Ká J, Sedaghatnia P, Hassanabadi H 2020 Eur. Phys. J. Plus 135 2020Google Scholar
[11] Yang Y, Cai S H, Long Z W, Chen H, Long C Y 2020 Chin. Phys. B 29 070302Google Scholar
[12] Zare S, Hassanabadi H, Montigny M D 2020 Gen. Relativ. Gravitation 52 3Google Scholar
[13] Chen H, Long Z W, Yang Y, Zhao Z L, Long C Y 2020 Int. J. Mod. Phys. A 35 2050107Google Scholar
[14] Yang Y, Long Z W, Chen H, Zhao Z L, Long C Y 2021 Mod. Phys. Lett. A 36 2150059Google Scholar
[15] Chen H, Long Z W, Ran Q K, Yang Y, Long C Y 2020 EPL 132 50006Google Scholar
[16] Deng L F, Long C Y, Long Z W, Xu T 2018 Adv. High Energy Phys. 1 2018Google Scholar
[17] Bardeen J, Cooper L N, Schrieffe J R 1957 Phys. Rev. 106 162Google Scholar
[18] Kostelecky V A, Samuel S 1989 Phys. Rev. Lett. 63 224Google Scholar
[19] Bakke K, Belich H 2012 J. Phys. G: Nucl. Part. Phys. 39 085001Google Scholar
[20] Bakke K, Belich H 2015 J. Phys. G: Nucl. Part. Phys. 42 095001Google Scholar
[21] Bakke K, Belich H 2015 Ann. Phys. 354 1Google Scholar
[22] Bakke K, Belich H 2020 Eur. Phys. J. Plus 135 656Google Scholar
[23] Bakke K, Belich H 2020 Commun. Theor. Phys. 72 105204Google Scholar
[24] Belich H, Costa-Soares T, Ferreira Jr M M, Helayel-Neto J A, Orlando M T D 2006 Phys. Lett. B 639 675Google Scholar
[25] Belich H, Costa-Soares T, Ferreira Jr M M, Helayel-Neto J A 2005 Eur. Phys. J. C 41 421Google Scholar
[26] Bakke K, Belich H 2019 Int. J. Mod. Phys. A 34 1950116Google Scholar
[27] Bakke K, Furtado C, Belich H 2016 Ann. Phys. 372 544Google Scholar
[28] Bakke K, Belich H 2016 Ann. Phys. 373 115Google Scholar
[29] Vitóro R L L, Belich H 2018 Eur. Phys. J. C 78 999Google Scholar
[30] Kostelecky A V, Mewes M 2001 Phys. Rev. Lett. 87 251304Google Scholar
[31] Kostelecky A V, Mewes M 2002 Phys. Rev. D 66 056005Google Scholar
[32] Kostelecky A V, Mewes M 2006 Phys. Rev. Lett. 97 140401Google Scholar
[33] Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M 1978 Phys. Rev. D 17 3090Google Scholar
[34] Lima D F, Andrade F M, Castro L B, Filgueiras C, Silva E O 2019 Eur. Phys. J. C 79 596Google Scholar
[35] Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M 1976 Phys. Rev. Lett. 36 500Google Scholar
[36] Quigg C, Rosner J L 1979 Phys. Rep. 56 167Google Scholar
[37] Aharonov Y, Casher A 1984 Phys. Rev. Lett. 53 319Google Scholar
[38] Ribeiro L R, Furtado C, Nascimento J R 2006 Phys. Lett. A 348 135Google Scholar
[39] Furtado C, Nascimento J R, Ribeiro L R 2006 Phys. Lett. A 358 336Google Scholar
[40] Bakke K, Furtado C 2014 Eur. Phys. J. B 87 222Google Scholar
[41] Tezcan C, Sever R 2009 Int. J. Theor. Phys. 48 377Google 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 022104Google Scholar
[44] de Montigny M, Zare S, Hassanabadi H 2018 Gen. Relativ. Gravitation 50 47Google Scholar
[45] Sedaghatnia P, Hassanabadi H, Ahmed F 2019 Eur. Phys. J. C 79 541Google Scholar
[46] Rahimov H, Nikoofard H, Zarrinkamar S, Hassanabadi H 2013 Appl. Math. Comput. 219 4710Google Scholar
[47] Hassanabadi H, Zarrinkamar S, Rajabi A A 2011 Commun. Theor. Phys. 55 541Google Scholar
[48] Hosseinpour M, Hassanabadi H, de Montigny M 2018 Int. J. Geom. Meth. Mod. Phys. 15 1850165Google Scholar
计量
- 文章访问数: 3941
- PDF下载量: 68
- 被引次数: 0