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Chin. Phys. B, 2017, Vol. 26(8): 080301    DOI: 10.1088/1674-1056/26/8/080301
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Exact solution of the generalized Kemmer oscillator

Zi-Long Zhao(赵子龙), Chao-Yun Long(龙超云), Zheng-Wen Long(隆正文), Ting Xu(徐渟)
Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang 550025, China
Abstract  

In the present work, the generalized Kemmer oscillator was introduced in one dimension. It is shown that the exact solutions of generalized Kemmer oscillator with some appropriate choices of the interactions f(x) have been obtained by using the Nikiforov-Uvarov (NU) method. Moreover, several interesting cases are discussed.

Keywords:  Kemmer equation      generalized oscillator      NU method  
Received:  27 March 2017      Revised:  06 May 2017      Accepted manuscript online: 
PACS:  03.65.Pm (Relativistic wave equations)  
  03.65.Ge (Solutions of wave equations: bound states)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant No. 11565009).

Corresponding Authors:  Chao-Yun Long     E-mail:  longchaoyun66@163.com
About author:  0.1088/1674-1056/26/8/

Cite this article: 

Zi-Long Zhao(赵子龙), Chao-Yun Long(龙超云), Zheng-Wen Long(隆正文), Ting Xu(徐渟) Exact solution of the generalized Kemmer oscillator 2017 Chin. Phys. B 26 080301

[1] Stetsko M M 2015 J. Math. Phys. 56 012101
[2] Ito D, Mori K and Carriere E 1967 Nuovo Cimento A 51 1119
[3] Cook P A 1971 Lett. Nuovo Cimento 1 419
[4] Moreno M and Zentella A 1989 J. Phys. A: Math. Gen. 22 L821
[5] Martinez-y-Romero R P and Salas-Brito A L 1992 J. Math. Phys. 33 1831
[6] Munarriz J, Dominguez-Adame F and Lima R P A 2012 Phys. Lett. A 376 3475
[7] Grineviciute J and Halderson D 2012 Phys. Rev. C 85 054617
[8] Faessler A, Kukulin V I and Shikhalev M A 2005 Ann. Phys. 320 71
[9] Villalba V M 1994 Phys. Rev. A 49 586
[10] Ju G-X and Ren Z 2003 Int. J. Mod. Phys. A 18 5757
[11] Quesne C and Tkachuk V M 2005 J. Phys. A: Math. Gen. 38 1747
[12] Aouadi O, Chargui Y and Fayache M S 2016 J. Math. Phys. 57 023522
[13] Rozmej P and Arvieu R 1999 J. Phys. A: Math. Gen. 32 5367
[14] Bermudez A, Martin Delgado M A and Solano E 2007 Phys. Rev. A 76 041801
[15] Lamata L, Leon J, Schatz T and Solano E 2007 Phys. Rev. Lett. 98 253005
[16] Sadurni E, Torres J M and Seligman T H 2010 J. Phys. A: Math. Theor. 43 285204
[17] Bermudez A, Martin-Delgado M A and Solano E 2007 Phys. Rev. Lett. 99 123602
[18] Franco-Villafane J A, Sadurni E, Barkhofen S, Kuhl U, Mortessagne F and Seligman T H 2013 Phys. Rev. Lett. 111 170405
[19] Hamzavi M, Eshghi M and Ikhdair S M 2012 J. Math. Phys. 53 082101
[20] Lu C K and Herbut I F 2011 J. Phys. A: Math. Theor. 44 295003
[21] Zarrinkamar S, Rajabi A A and Hassanabadi H 2010 Ann. Phys. 325 2522
[22] Chargui Y, Trabelsi A and Chetouani L 2010 Phys. Lett. A 374 2907
[23] Bermudez A, Martin-Delgado M A and Luis A 2008 Phys. Rev. A 77 063815
[24] Kulikov D A, Tutik R S and Yaroshenko A P 2007 Phys. Lett. B 644 311
[25] de Castro A S, Alberto P, Lisboa R and Malheiro M 2006 Phys. Rev. C 73 054309
[26] Dutta D, Panella O and Roy P 2013 Ann. Phys. 331 120
[27] Kemmer N 1939 Proc. R. Soc. A 173 91
[28] Boumali A 2007 Phys. Scr. 76 669
[29] Kemmer N 1938 Proc. R. Soc. A 166 127
[30] Duffin R J 1939 Phys. Rep. 54 1114
[31] Bednar M, Ndimubandi J and Nikitin A G 1997 Can. J. Phys. 75 283
[32] Boumali A and Chetouani L 2005 Phys. Lett. A 346 261
[33] Merad M 2007 Int. J. Theor. Phys. 46 2105
[34] Nedjadi Y and Barrett R C 1994 J. Phys. A: Math. Gen. 27 4301
[35] Chetouani L, Merad M, Boudjedaa T and Lecheheb A 2004 Int. J. Theor. Phys. 43 1147
[36] Boutabia B and Boudjedaa T 2005 Phys. Lett. A 338 97
[37] Ahmadov A I, Aydin C and Uzun O 2014 Int. J. Mod. Phys. A 29 1450002
[38] Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics (Birkhauser: Basel)
[39] Hamzavi M, Rajabi A A and Hassanabadi H 2011 Int. J. Mod. Phys. A 26 1363
[40] Hamzavi M, Hassanabadi H and Rajabi A A 2010 Mod. Phys. Lett. A 25 2447
[41] Hamzavi M, Hassanabadi H and Rajabi A A 2010 Int. J. Mod. Phys. E 19 2189
[42] Hassanabadi H, Zarrinkamar S and Rajabi A A 2013 Phys. Lett. B 718 1111
[43] Rajabi A A and Hamzavi M 2013 J. Theor. Appl. Phys. 7 17
[44] Rahmani S, Hassanabadi H and Zarrinkamar S 2014 Phys. Scr. 89 065301
[45] Kurniawan A, Suparmi A and Cari C 2015 Chin. Phys.B 24 030302
[46] Ikot A N, Obong H P and Hassanabadi H 2015 Chin. Phys. Lett. 32 030201
[47] Eshghi M 2012 Chin. Phys. Lett. 29 110304
[48] Sogut K and Havare A 2006 Class. Quantum Grav. 23 7129
[49] Boumali A 2004 Can. J. Phys. 82 67
[50] De Castro A S 2004 Ann. Phys. 311 170
[51] Hamzavi M and Rajabi A A 2013 Chin. Phys. B 22 090301
[52] Plante G and Antippa A F 2005 J. Math. Phys. 46 062108
[53] Quigg C and Rosner J L 1979 Phys. Rep. 56 167
[54] Chaichian M and Kokerler R 1980 Ann. Phys. 124 61
[55] Dong S H, Qiang W C, Sun G H and Bezerra V B 2007 J. Phys. A: Math. Theor. 40 10535
[56] Naderia L and Hassanabadi H 2016 Eur. Phys. J. Plus. 131
[57] Soylu A, Bayrak O and Boztosun I 2008 J. Phys. A: Math. Theor. 41 065308
[58] Bayrak O, Kocak G and Boztosun I 2006 J. Phys. A: Math. Gen. 39 11521
[59] Mehmet Simsek and Harun Egrifes 2004 J. Phys. A: Math. Gen. 37 4379
[60] Gonul B, Ozer O, Cancelik Y and Kocak M 2000 Phys. Lett. A 275 238
[61] Tezcan C and Sever R 2009 Int. J. Theor. Phys. 48 337
[62] Berkdemir C, Berkdemir A and Sever R 2006 J. Phys. A: Math. Gen. 39 13455
[63] Guo J Y, Fang X Z and Xu F X 2002 Phys. Rev. A 66 062105
[64] Ikhdair S M and Sever R 2010 Int. J. Mod. Phys. A 25 3941
[65] Alhaidari A D 2001 Phys. Rev. Lett. 87 210405
[66] Alhaidari A D 2002 Phys. Rev. Lett. 88 189901
[67] Bayrak G, Soylu A and Boztosun I 2010 J. Math. Phys. 51 112301
[68] Berkdemir C and Han J 2005 Chem. Phys. Lett. 409 203
[69] Wei G F and Dong S H 2010 Eur. Phys. J. A 43 185
[70] Eshghi M and Ikhdair S M 2014 Chin. Phys. B 23 120304
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