×

Exact solutions of the Dirac equation with scalar and vector Hartmann potentials. (English) Zbl 1145.81352

Summary: Exact solutions of the Dirac equation with Hartmann potentials are studied under the condition that the scalar potential is equal to the vector potential. The exact energy expressions and the spinor wave functions for bound states are presented.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Dominguez-Adame, F., Phys. lett. A, 136, 175, (1989)
[2] Talukdar, B.; Yunus, A.; Amin, M.R., Phys. lett. A, 141, 326, (1989)
[3] Hu, S.Z.; Su, R.K., Acta phys. sinica, 40, 1201, (1991), (in Chinese)
[4] Hou, C.F.; Li, Y.; Zhou, Z.X., Acta phys. sinica, 48, 1999, (1999), (in Chinese)
[5] Chen, G., Acta phys. sinica, 53, 680, (2004), (in Chinese)
[6] Su, R.K.; Ma, Z.Q., J. phys. A, 19, 1739, (1986)
[7] Qiang, W.C., Chin. phys., 11, 757, (2002)
[8] Qiang, W.C., Chin. phys., 12, 136, (2003)
[9] Zhang, X.A.; Chen, K.; Duan, Z.L., Chin. phys., 14, 42, (2005)
[10] Hartmann, H., Theor. chim. acta, 24, 201, (1972)
[11] Hartmann, H.; Schuck, R.; Radtke, J., Theor. chim. acta, 46, 1, (1976)
[12] Hartmann, H.; Schuck, D., Int. J. quantum chem., 18, 125, (1980)
[13] Gerry, C.C., Phys. lett. A, 118, 445, (1986)
[14] Kibler, M.; Negadi, T., Int. J. quantum chem., 26, 405, (1984)
[15] Sökmen, I., Phys. lett. A, 115, 249, (1986)
[16] Kibler, M.; Negadi, T., Theor. chim. acta, 66, 31, (1984)
[17] Blado, G.G., Theor. chim. acta, 94, 53, (1996)
[18] Blado, G.G., Int. J. quantum chem., 58, 431, (1996)
[19] Qian, S.W.; Huang, B.W.; Wang, D.Y.; Gu, Z.Y., Commun. theor. phys., 38, 139, (2002)
[20] Chen, G., Chin. phys., 13, 144, (2004)
[21] Vaidya, A.N.; Boschi, H., J. math. phys., 31, 1951, (1991)
[22] Chen, C.Y.; Liu, C.L.; Sun, D.S., Phys. lett. A, 305, 341, (2002)
[23] Chen, C.Y.; Sun, D.S.; Liu, C.L., Phys. lett. A, 317, 80, (2003)
[24] Chen, C.Y.; Lu, F.L.; Sun, D.S., Phys. lett. A, 329, 420, (2004)
[25] Kibler, M.; Winternitz, P., J. phys. A, 20, 4097, (1987)
[26] Granovskii, Y.I.; Zhedanov, A.S.; Lutzenko, I.M., J. phys. A, 24, 3887, (1991)
[27] Zhedanov, A.S., J. phys. A, 26, 4633, (1993)
[28] Chen, C.Y.; Hu, S.Z., Acta phys. sinica, 44, 9, (1995), (in Chinese)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.