PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2010 | 8 | 3 | 408-414
Tytuł artykułu

Duffin-Kemmer-Petiau equation in Robertson-Walker space-time

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The (1+1)-dimensional Duffin-Kemmer-Petiau (DKP) equation (for spin 0 and 1) in the Robertson-Walker Space-time is solved. The exact solution is then determined for both cases. As an application, the rate of the created particles in the presence of gravity is calculated via the Bogoliubov transformations technique.
Wydawca

Czasopismo
Rocznik
Tom
8
Numer
3
Strony
408-414
Opis fizyczny
Daty
wydano
2010-06-01
online
2010-04-24
Twórcy
  • Département de Physique, Université de Oum-El-Bouaghi, 04000, Oum-El-Bouaghi, Algeria
  • Département de Physique, Université de Oum-El-Bouaghi, 04000, Oum-El-Bouaghi, Algeria, meradm@gmail.com
Bibliografia
  • [1] L. D. Landau, E. M. Lifshitz, Quantum Mechanics-Non-relativistic Theory (Pergamon Press, Oxford, 1977)
  • [2] L. Parker, Phys. Rev. D19, 438 (1979)
  • [3] T. Homma, T. Inamoto, T. Miyazaki, Phys. Rev. D 42, 2049 (1990) http://dx.doi.org/10.1103/PhysRevD.42.2049[Crossref]
  • [4] D. R. Brill, J. A. Wheeler, Rev. Mod. Phys. 29, 465 (1957) http://dx.doi.org/10.1103/RevModPhys.29.465[Crossref]
  • [5] V. M. Villalba, Prog. Theor. Phys. 90, 851 (1993) http://dx.doi.org/10.1143/PTP.90.851[Crossref]
  • [6] V. M. Villalba, Int. J. Theor. Phys. 36, 1321 (1997) http://dx.doi.org/10.1007/BF02435926[Crossref]
  • [7] E. Schrodinger, Physica 6, 899 (1939) http://dx.doi.org/10.1016/S0031-8914(39)90091-1[Crossref]
  • [8] L. Parker, Phys. Rev. 183, 1057 (1969) http://dx.doi.org/10.1103/PhysRev.183.1057[Crossref]
  • [9] L. Parker, Phys. Rev. D 3, 346 (1971) http://dx.doi.org/10.1103/PhysRevD.3.346[Crossref]
  • [10] M. Domingos, M. H. Caldeira, Found. Phys. 14, 607 (1984) http://dx.doi.org/10.1007/BF00738744[Crossref]
  • [11] A. O. Barut, I. H. Duru, Phys. Rev. D 36, 3705 (1987) http://dx.doi.org/10.1103/PhysRevD.36.3705[Crossref]
  • [12] D. Parashar, Int. J. Theor. Phys. 30, 1691 (1991) http://dx.doi.org/10.1007/BF00673645[Crossref]
  • [13] Anjana Sinha, R. Royehoudhury, Int. J. Theor. Phys. 33, 1511 (1994) http://dx.doi.org/10.1007/BF00670693[Crossref]
  • [14] C. Y. Cardall, G. M. Fuller, Phys. Rev. D 55, 7960 (1997) http://dx.doi.org/10.1103/PhysRevD.55.7960[Crossref]
  • [15] M. Alimohammadi, A. Shariati, Int. J. Mod. Phys. A 15, 4099 (2000)
  • [16] M. Khorrami, M. Alimohammadi, A. Shariati, Ann. Phys. 304, 91 (2003) http://dx.doi.org/10.1016/S0003-4916(03)00016-2[Crossref]
  • [17] S. Moradi, Int. J. Theor. Phys. 47, 2807 (2008) http://dx.doi.org/10.1007/s10773-008-9713-2[Crossref]
  • [18] D. Gomes, E. Capelas De Oliveira, International Journal of Mathematics and Mathematical Sciences 69, 3775 (2004) http://dx.doi.org/10.1155/S0161171204406565[Crossref]
  • [19] A. Havare, T. Yetkin, M. Korunur, K. Sogut, Nucl. Phys. B 682, 457 (2004) http://dx.doi.org/10.1016/j.nuclphysb.2004.01.016[Crossref]
  • [20] Y. Sucu, N. Unal, J. Math. Phys. 48, 052503 (2007) http://dx.doi.org/10.1063/1.2735442[Crossref]
  • [21] G. Petiau, PhD thesis, University of Paris, Academie Royalede Belgique, Classedes Sciences, Memoires, Collection 8, 16 (1936)
  • [22] R. Y. Duffin, Phys. Rev. 54, 1114 (1938) http://dx.doi.org/10.1103/PhysRev.54.1114[Crossref]
  • [23] N. Kemmer, Proc. R. Soc. Lon. Ser. -A. 173, 91 (1939) http://dx.doi.org/10.1098/rspa.1939.0131[Crossref]
  • [24] L. Chetouani, M. Merad, T. Boudjedaa, A. Lecheheb, Int. J. Theor. Phys. 43, 1147 (2004) http://dx.doi.org/10.1023/B:IJTP.0000048606.29712.13[Crossref]
  • [25] M. Merad, Int. J. Theor. Phys. 46, 2105 (2007) http://dx.doi.org/10.1007/s10773-006-9332-8[Crossref]
  • [26] M. Merad, H. Bada, A. Lecheheb, Czech. J. Phys. 56, 765 (2006) http://dx.doi.org/10.1007/s10582-006-0129-z[Crossref]
  • [27] M. Merad, S. Bensaid, J. Math. Phys. 48, 073515 (2007) http://dx.doi.org/10.1063/1.2747609[Crossref]
  • [28] M. Falek, M. Merad J. Math. Phys. 50, 023508 (2009) http://dx.doi.org/10.1063/1.3076900[Crossref]
  • [29] R. A. Krajcik, M. M. Nieto, Am. J. Phys. 45, 818 (1977) http://dx.doi.org/10.1119/1.11054[Crossref]
  • [30] V. Gribov, Eur. Phys. J. C 10, 71 (1999)
  • [31] J. T. Lunardi, B. M. Pimentel, R. G. Teixeira, J. S. Valverde, Phys. Lett. A 268, 165 (2000) http://dx.doi.org/10.1016/S0375-9601(00)00163-8[Crossref]
  • [32] I. V. Kanatchikov, Rep. Math. Phys. 46, 107 (2000) http://dx.doi.org/10.1016/S0034-4877(01)80013-6[Crossref]
  • [33] Yu. V. Pavlov, Grav. Cosm. 12, 205 (2006)
  • [34] N. D. Birrel, P. C. W. Davies, Quantum Fields in Curved Space (Cambridge Univ. Press, Cambridge, 1982)
  • [35] S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972)
  • [36] J. T. Lunardi, B. M. Pimentel, R. G. Teixeira, In: A. A. Bytsenko, A. E. Goncalves, B. M. Pimentel (Eds.), Geometrical Aspects of Quantum Fields (World Scientific, Singapore, 2001)111 http://dx.doi.org/10.1142/9789812810366_0010[Crossref]
  • [37] I. S. Gradshteyn, I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1980)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0112-y
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.