An analytical approach to the Klein-Gordon and the Dirac relativistic oscillators in a non-commutative space under a constant magnetic field

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 5, 2010, Pages 1368-1371

  Sammelson, Robert Erik ^a   Heidari, Alireza ^b   Tayyari, Sayyed Faramarz ^b  

^a BALL STATE UNIVERSITY   (United States)

^b FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

Author keywords

Constant magnetic field; Dirac oscillator; Klein Gordon oscillator; Non commutative space

Indexed keywords

ANALYTICAL APPROACH; CONSTANT MAGNETIC FIELDS; DIRAC OSCILLATOR; KLEIN-GORDA OSCILLATOR; KLEIN-GORDON; MAGNETIC-FIELD; NON-COMMUTATIVE SPACE; RELATIVISTIC OSCILLATORS;

MAGNETIC FIELDS;

EID: 70449097706     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.05.033     Document Type: Article

References (20)

1. Douglas M.R., and Nekrasov N.A. Noncommutative field theory. Rev Mod Phys 73 (2001) 977-1029
2. Seiberg N., and Witten E. String theory and noncommutative geometry. JHEP 9909 (1999) 032 hepth/9808142v3
3. Mezincescu L. Star operation in quantum mechanics. JHEP UMTG (2000) 233 hep-th/0007046v2
4. Nair V.P. Quantum mechanics on the noncommutative plane and sphere. Phys Lett B505 (2001) 267-274
5. Gamboa J., Loewe M., and Rojas J.C. Non-commutative quantum mechanics. Phys Rev D64 (2001) 067901
6. Bellucci S., Ivanov E., and Krivonos S. N = 2 and N = 4 supersymmetric Born-Infeld theories from nonlinear realizations. Phys Lett B502 (2001) 279-290
7. Acatrinei C. JHEP 0109 (2001) 007 hep-th/0107078
8. Gamboa J., Loewe M., Méndez F., and Rojas J.C. Noncommutative quantum mechanics: the two-dimensional central field. Int J Mod Phys A17 (2002) 2555-2566
9. Gamboa J., Loewe M., Méndez F., and Rojas J.C. The Landau problem and noncommutative quantum mechanics. Mod Phys Lett A16 (2001) 2075-2078
10. Wazwaz A.M. The tanh and the sine-cosine methods for compact and non-compact solutions of the nonlinear Klein-Gordon equations. Appl Math Comp 167/2 (2005) 1179-1195
11. Biswas A., Zony C., and Zerrad E. Soliton perturbation theory for the nonlinear Klein-Gordon equation. Appl Math Comp 203/1 (2008) 153-156
12. Wazwaz A.M. New travelling wave solutions of the Boussinesq and the Klein-Gordon equations. Commun Nonlinear Sci Numer Simulat 13 (2008) 889-901
13. Ray S.S. An application of the modified decomposition method for the solution of the coupled Klein-Gordon-Schrödinger equation. Commun Nonlinear Sci Numer Simulat 13 (2008) 1311-1317
14. Basak K.C., Ray P.C., and Bera R.K. Solution of nonlinear Klein-Gordon equation with a quadratic nonlinear term by Adomian decomposition method. Commun Nonlinear Sci Numer Simulat 14 (2009) 718-723
15. Sassaman R., and Biswas A. Soliton perturbation theory for phi-four model and nonlinear Klein-Gordon equations. Commun Nonlinear Sci Numer Simulat 14 (2009) 3239-3249
16. Ito D., Mori K., and Carrieri E. Nuovo Cimeto 51A (1967) 1119-1121
17. Moshinsky M., and Szczepaniak A. The Dirac oscillator. J Phys A Math Gen 22 (1989) L817-L819
18. Moreno M., and Zentella A. Covariance, CPT and the Foldy-Wouthuysen transformation for the Dirac oscillator. J Phys A Math Gen 22 (1989) L821-L825
19. Benitez J., Martinez y Romero R.P., Núnez-Yépez H.N., and Salas-Brito A.L. Solution and hidden supersymmetry of a Dirac oscillator. Phys Rev Lett 64 (1990) 1643-1645
20. Strange P. Relativistic quantum mechanics (1998), Cambridge University Press, Cambridge