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Spectroscopy of the Dirac oscillator perturbed by a surface delta potential

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2012-08-15
Authors
Munarriz, J.
Lima, R. P. A.
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Elsevier
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We study theoretically the level shift of the Dirac oscillator perturbed by any sharply peaked potential approaching a surface delta potential. A Green function method is used to obtain closed expressions for all partial waves and parities.
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©2012 Elsevier B.V. All rights reserved. Work in Madrid was supported by MICINN (project MAT2010- 17180). R.P.A. Lima would like to thank CAPES via project PPCPMercosul, CNPq, and FINEP (Brazilian Research Agencies) as well as FAPEAL (Alagoas State Research Agency) for partial financial support.
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[1] M.L. Glasser, N. Shawagfeh, J. Math. Phys. 25 (1984) 2533. [2] F. Domínguez-Adame, M.A. González, Europhys. Lett. 13 (1990) 193. [3] H. Galic, Am. J. Phys. 56 (1988) 312. [4] C.L. Critchfield, J. Math. Phys. 17 (1976) 261. [5] B. Ram, J. Phys. A: Math. Gen. 20 (1987) 5023. [6] F.M. Toyama, Y. Nogami, Phys. Rev. A 59 (1999) 1056. [7] M. Moshinsky, A. Szczepaniak, J. Phys. A: Math. Gen. 22 (1989) L817. [8] J. Benítez, R.P. Martínez y Romero, H.N. Núñez-Yepes, A.L. Salas-Brito, Phys. Rev. Lett. 64 (1990) 1643. [9] C. Quesne, M. Moshinsky, J. Phys. A: Math. Gen. 23 (1990) 2262. [10] F. Domínguez-Adame, Phys. Lett. A 162 (1992) 18. [11] M. Moreno, A. Zentella, J. Phys. A: Math. Gen. 22 (1989) L821. [12] F. Domínguez-Adame, B. Méndez, Can. J. Phys. 69 (1991) 780. [13] S. Longhi, Opt. Lett. 35 (2010) 1302. [14] F. Domínguez-Adame, Europhys. Lett. 15 (1991) 569. [15] M.G. Calkin, D. Kiang, Y. Nogami, Phys. Rev. C 38 (1988) 1076. [16] F. Domínguez-Adame, J. Phys. A: Math. Gen. 23 (1990) 1993. [17] D. Bjorken, S.D. Drell, Relativistic Quantum Mechanics, McGraw–Hill, New York, 1964, p. 53. [18] B.H.J. McKellar, G.J. Stephenson, Phys. Rev. A 36 (1987) 2566. [19] B. Méndez, F. Domínguez-Adame, J. Phys. A: Math. Gen. 25 (1992) 2065. [20] A.D. Alhaidari, Int. J. Theor. Phys. 43 (2004) 939. [21] R. Szmytkowski, M. Gruchowski, J. Phys. A: Math. Gen. 34 (2001) 4991.
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