Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
The Dirac equation in the presence of the Dirac magnetic monopole potential, the Aharonov-Bohm potential, a Coulomb potential and a pseudo-scalar potential, is solved by separation of variables using the spinweighted spherical harmonics. The energy spectrum and the form of the spinor functions are obtained. It is shown that the number j in spin-weighted spherical harmonics must be greater than $$\left| q \right| - \tfrac{1} {2}$$.
Czasopismo
Rocznik
Tom
Numer
Strony
266-273
Opis fizyczny
Daty
wydano
2014-04-01
online
2014-04-23
Twórcy
autor
- Department of Physics, Faculty of Sciences, Sahand University of Technology, Tabriz, PO Box 51335-1996, Iran, so_aghaei@sut.ac.ir
autor
- Department of Physics, Faculty of Sciences, Sahand University of Technology, Tabriz, PO Box 51335-1996, Iran, a.chenaghlou@sut.ac.ir
Bibliografia
- [1] P. A. M. Dirac, Proc. R. Soc. London A 133, 60 (1931) http://dx.doi.org/10.1098/rspa.1931.0130[Crossref]
- [2] S. R. Coleman, The magnetic monopole fifty years later, in: Les Houches Summer School, p. 461, 1981
- [3] P. Goddard, D. I. Olive, Rep. Prog. Phys. 41, 1357 (1978) http://dx.doi.org/10.1088/0034-4885/41/9/001[Crossref]
- [4] R. Jackiw, Ann. Phys. 129, 183 (1980) http://dx.doi.org/10.1016/0003-4916(80)90295-X[Crossref]
- [5] Victor M. Villalba, J. Math. Phys. 36, 3332 (1995) http://dx.doi.org/10.1063/1.531034[Crossref]
- [6] L. V. Hoang, L. X. L. I. Komarov, T. S. Romanova J. Phys A: Math. Gen 25, 6461 (1992) http://dx.doi.org/10.1088/0305-4470/25/23/038[Crossref]
- [7] A. D. Alhaidari, Phys. Lett. A 322, 72 (2004) http://dx.doi.org/10.1016/j.physleta.2004.01.006[Crossref]
- [8] A. D. Alhaidari, Annals Phys. 320, 453 (2005), Erratum-ibid. 321, 1524 (2006) http://dx.doi.org/10.1016/j.aop.2005.07.001[Crossref]
- [9] A. D. Alhaidari, Found. Phys. Lett. 18, 651 (2005) http://dx.doi.org/10.1007/s10702-005-1318-x[Crossref]
- [10] V. G. Bagrov, D. M. Gitman, V. B. Tlyachev, J. Math. Phys. 42, 1933 (2001) http://dx.doi.org/10.1063/1.1353182[Crossref]
- [11] W. J. Marciano, I. J. Muzinich, Phys. Rev. Lett. 50, 1035 (1983) http://dx.doi.org/10.1103/PhysRevLett.50.1035[Crossref]
- [12] E. T. Newman, R. Penrose, J. Math. Phys. 7, 863 (1966) http://dx.doi.org/10.1063/1.1931221[Crossref]
- [13] Abhay G. Shah, John L. Friedman, Tobias S. Keidl, arXiv:1207.5595 [gr-qc] [WoS]
- [14] Alan Kostelecky, Matthew Mewes, Phys. Rev. D 85, 096005 (2012) http://dx.doi.org/10.1103/PhysRevD.85.096005[Crossref]
- [15] G. F. Torres del Castillo, L. C. Cortes-Cuautli, J. Math. Phys. 38, 2996 (1997) http://dx.doi.org/10.1063/1.532028[Crossref]
- [16] T. T. Wu, C. N. Yang, Nucl. Phys. B 107, 365 (1976) http://dx.doi.org/10.1016/0550-3213(76)90143-7[Crossref]
- [17] G. F. Torres del Castillo, Revista Mexicana de Fisica 43, 514 (1997)
- [18] U. Percoco, V. M. Villalba, Phys. Lett. A 140, 105 (1989) http://dx.doi.org/10.1016/0375-9601(89)90499-4[Crossref]
- [19] C. R. Hagen, Phys. Rev. Letters, 64, 503 (1990); Int. J. Mod. Phys. A 6, 3119 (1991) http://dx.doi.org/10.1103/PhysRevLett.64.503[Crossref]
- [20] C. R. Hagen, Phys. Rev. D 48, 5935 (1993) http://dx.doi.org/10.1103/PhysRevD.48.5935[Crossref]
- [21] S. A. Voropaev, D. V. Galtsov, D. A. Spasov, Phys. Lett. B 267, 91 (1991) http://dx.doi.org/10.1016/0370-2693(91)90529-Y[Crossref]
- [22] F. A. B. Coutinho, Y. Nogami, J.F. Perez, Phys. Rev. A 46, 6052 (1992) http://dx.doi.org/10.1103/PhysRevA.46.6052[Crossref]
- [23] F. A. B. Coutinho, Y. Nogami, J. F. Perez, J. Phys. A 27, 6539 (1994) http://dx.doi.org/10.1088/0305-4470/27/19/024[Crossref]
- [24] F. A. B. Coutinho, J. F. Perez, Phys. Rev. D 49, 2092 (1994) http://dx.doi.org/10.1103/PhysRevD.49.2092[Crossref]
- [25] H. Falomir, P. A. G. Pisani, J. Phys. A 34, 4143 (2001) http://dx.doi.org/10.1088/0305-4470/34/19/312[Crossref]
- [26] V. G. Bagrov, D. M. Gitman, V. B. Tlyachev, J. Math. Phys. 42, 1933 (2001) http://dx.doi.org/10.1063/1.1353182[Crossref]
- [27] V. R. Khalilov, Phys. Rev. A 71, 012105 (2005) http://dx.doi.org/10.1103/PhysRevA.71.012105[Crossref]
- [28] F. A. B. Coutinho, J. F. Perez, Phys. Rev. D 48, 932 (1993) http://dx.doi.org/10.1103/PhysRevD.48.932[Crossref]
- [29] J. N. Goldberg, A. J. MacFarlane, E. T. Newman, F. Rohrlich, E. C. G. Sudarshan, J. Math. Phys. 8, 2155 (1967) http://dx.doi.org/10.1063/1.1705135[Crossref]
- [30] G. F. Torres del Castillo, Revista Mexicana de Fisica 43, 527 (1997)
- [31] G. F. Torres del Castillo, Revista Mexicana de Fisica 39, (1993)
- [32] G. F. Torres del Castillo, Revista Mexicana de Fisica 32 (1993)
- [33] G. F. Torres del Castillo, Revista Mexicana de Fisica 38, 753 (1992)
- [34] G. F. Torres del Castillo, 3-D Spinors, Spin-Weighted Functions and their Applications, (Birkhauser, Boston, 2003) http://dx.doi.org/10.1007/978-0-8176-8146-3[Crossref]
- [35] G. V. Shishkin, V. M. Villalba, J. Math. Phys. 34, 5037 (1993) http://dx.doi.org/10.1063/1.530340[Crossref]
- [36] A. S. Davydov, Quantum Mechanics (Pergamon, Oxford, 1965)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0447-x