Solution of Dirac Equation with the Time-Dependent Linear Potential in Non-Commutative Phase Space

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DOI: 10.4236/jmp.2013.47126    3,102 Downloads   4,767 Views   Citations

ABSTRACT

In this paper, the time-dependent invariant of the Dirac equation with time-dependent linear potential has been constructed in non-commutative phase space. The corresponding analytical solution of the Dirac equation is presented by Lewis-Riesenfield invariant method.

Cite this paper

X. Jiang, C. Long and S. Qin, "Solution of Dirac Equation with the Time-Dependent Linear Potential in Non-Commutative Phase Space," Journal of Modern Physics, Vol. 4 No. 7, 2013, pp. 940-944. doi: 10.4236/jmp.2013.47126.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] K. H. Yeon, C. I. Um and T. F. Georgr, Physical Review A, Vol. 68, 2003, Article ID: 052108. doi:10.1103/PhysRevA.68.052108
[2] D. Y. Song, Physical Review A, Vol. 59, 1999, pp. 2616-2623. doi:10.1103/PhysRevA.59.2616
[3] S. A. Fulling, “Aspects of Quantum Fields in Curved Space,” Cambridge University Press, Cambridge, 1982.
[4] G. S. Agarwal and S. A. Kumar, Physical Review Letters, Vol. 67, 1991, pp. 3665-3668. doi:10.1103/PhysRevLett.67.3665
[5] H. P. Yuen, Physical Review A, Vol. 13, 1976, pp. 2226-2243. doi:10.1103/PhysRevA.13.2226
[6] L. S. Brown, Physical Review Letters, Vol. 66, 1991, pp. 527-529. doi:10.1103/PhysRevLett.66.527
[7] W. Paul, Reviews of Modern Physics, Vol. 62, 1998, pp. 531-540. doi:10.1103/RevModPhys.62.531
[8] M. Feng, K. Wang, J. Wu and L. Shi, Physics Letters A, Vol. 51, 1997, p. 230.
[9] X. F. Wang, P. Vasilopoulos and F. M. Peeters, Physical Review B, Vol. 65, 2002, Article ID: 165217. doi:10.1103/PhysRevB.65.165217
[10] M. Maamache and H. Bekkar, Journal of Physics A, Vol. 36, 2003, p. L359. doi:10.1088/0305-4470/36/23/105
[11] M. Maamache and H. Choutri, Journal of Physics A, Vol. 33, 2000, p. 6203. doi:10.1088/0305-4470/33/35/308
[12] H. G. Oh, H. R. Lee, T. F. George and C. I. Um, Physical Review A, Vol. 39, 1989, pp. 5515-5522. doi:10.1103/PhysRevA.39.5515
[13] H. R. Lewis Jr. and W. B. Rienesfeld, Journal of Mathematical Physics, Vol. 10, 1969, p. 1458. doi:10.1063/1.1664991
[14] I. Guedes, Physical Review A, Vol. 68, 2003, Article ID: 016102. doi:10.1103/PhysRevA.68.016102
[15] S. Cocke and L. E. Reichl, Physical Review A, Vol. 41, 1990, pp. 3733-3739. doi:10.1103/PhysRevA.41.3733
[16] S. Cocke and L. E. Reichl, Physical Review A, Vol. 52, 1995, pp. 4515-4522. doi:10.1103/PhysRevA.52.4515
[17] S. Cocke and L. E. Reichl, Physical Review A, Vol. 53, 1996, pp. 1746-1750. doi:10.1103/PhysRevA.53.1746
[18] J. Bauer, Physical Review A, Vol. 65, 2002, Article ID: 036101. doi:10.1103/PhysRevA.65.036101
[19] M. Feng, Physical Review A, Vol. 64, 2001, Article ID: 034101. doi:10.1103/PhysRevA.64.034101
[20] I. Guedes, Physical Review A, Vol. 63, 2001, Article ID: 034102. doi:10.1103/PhysRevA.63.034102
[21] H. Bekkar, F. Benamira and M. Maamache, Physical Review A, Vol. 68, 2003, Article ID: 016101. doi:10.1103/PhysRevA.68.016101
[22] M. Maamache and H. Lakehal, Europhysics Letters, Vol. 67, 2004, p. 695. doi:10.1209/epl/i2004-10109-6
[23] R. R. Landim and I. Guedes, Physical Review A, Vol. 61, 2000, Article ID: 054101. doi:10.1103/PhysRevA.61.054101
[24] A. S. de Castro and A. de Souza Dutra, Physical Review A, Vol. 67, 2003, Article ID: 054101. doi:10.1103/PhysRevA.67.054101
[25] A. Smailagic, Physical Review D, Vol. 65, 2002, Article ID: 107701. doi:10.1103/PhysRevD.65.107701
[26] E. M. F. Curado, M. A. Rego-Monteiro and H. N. Nazareno, Physical Review A, Vol. 64, 2001, Article ID: 012105. doi:10.1103/PhysRevA.64.012105
[27] P.-M. Ho and H.-C. Kao, Physical Review Letters, Vol. 88, 2002, Article ID: 151602. doi:10.1103/PhysRevLett.88.151602
[28] J.-Z. Zhang, Physics Letters B, Vol. 584, 2004, pp. 204-209. doi:10.1016/j.physletb.2004.01.049
[29] J. Gamboa, M. Loewe and J. C. Rojas, Physical Review D, Vol. 64, 2001, Article ID: 067901. doi:10.1103/PhysRevD.64.067901
[30] H. Falomir, J. Gamboa, M. Loewe, F. Mendez and J. C. Rojas, Physical Review D, Vol. 66, 2002, Article ID: 045018. doi:10.1103/PhysRevD.66.045018
[31] S. C. Chu and P. M. Ho, Nuclear Physics B, Vol. 550, 1999, pp. 151-168. doi:10.1016/S0550-3213(99)00199-6
[32] O. Bertolami, J. G. Rosa, C. M. L. de Aragao, P. Castorina and D. Zappala, Physical Review D, Vol. 72, 2005, Article ID: 025010. doi:10.1103/PhysRevD.72.025010
[33] B. Muthukumar and P. Mitra, Physical Review D, Vol. 66, 2002, Article ID: 027701. doi:10.1103/PhysRevD.66.027701
[34] R. Banerjee, B. D. Roy and S. Samanta, Physical Review D, Vol. 74, 2006, Article ID: 045015. doi:10.1103/PhysRevD.74.045015
[35] J.-Z. Zhang, Physical Review Letters, Vol. 93, 2004, Article ID: 043002. doi:10.1103/PhysRevLett.93.043002
[36] H. R. Lewis Jr. and W. B. Riesenfield, Journal of Mathematical Physics, Vol. 10, 1969, p. 1458. doi:10.1063/1.1664991

  
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