Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential

  • In this paper, the relativistic Rosen-Morse II potential is investigated by solving the Klein-Gordon and the Dirac equations with equal attractive scalar s(r) and repulsive vector v(r) potentials. The exact energy equations of the bound state are obtained by the method of supersymmetric and shape invariance. Finally, a kind of special potential about Rosen-MorseⅡ potential is discussed.
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  • [1] . GUO J Y, MENG J, XU F X. Chin. Phys. Lett., 2003,20(5): 602-6042. QIANG W C. Chin. Phys., 2002, 11(8): 757-7593. QIANG W C. Chin. Phys., 2003, 12(2): 136-1394. QIANG W C. Chin. Phys., 2004, 13(5): 571-5745. CHEN G. Acta Physica Sinica, 2004, 53(3): 680-683(in Chinese)(陈刚. 物理学报, 2004, 53(3): 680-683)6. Compean C B, Kirchbach M. Quant-ph/0603232, 20057. Hurska M, Keung W Y, Sukhatme U. Phys. Rev., 1997,A55(5): 3345-33508. Morse, Feshbach. Methods of Theoretical Physics, 1953.1651-16559. WU T Y, Pauchy Hwang W Y. Relativistic Quantum Me-chanics and Quantum Fields. Singapore: World Scienti c,1991. 1-2210. Dutt R, Khare A, Sukhatme U. Am. Jour. Phys., 1988, 56:167-17011. Cooper F, Khare A, Sukhatme U. Physics Reports, 1995,251: 267-27212. ZENG J Y. Quantum Mechanics. Vol II. Beijing: SciencePress, 1993. 373-374(in Chinese)(曾谨言. 量子力学. 卷Ⅱ. 北京: 科学出版社, 1993. 373-374)13. MENG J, Tokid H, ZHOU S G et al. Progress in Particleand Nuclear Physics, 2006, 57: 470-563
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ZHANG Ai-Ping and QIANG Wen-Chao. Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential[J]. Chinese Physics C, 2007, 31(11): 1027-1031.
ZHANG Ai-Ping and QIANG Wen-Chao. Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential[J]. Chinese Physics C, 2007, 31(11): 1027-1031. shu
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Received: 2006-12-05
Revised: 2007-01-23
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Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential

    Corresponding author: ZHANG Ai-Ping,
  • Science College, Xi'an University of Architecture and Technology, Xi'an 710055, China

Abstract: In this paper, the relativistic Rosen-Morse II potential is investigated by solving the Klein-Gordon and the Dirac equations with equal attractive scalar s(r) and repulsive vector v(r) potentials. The exact energy equations of the bound state are obtained by the method of supersymmetric and shape invariance. Finally, a kind of special potential about Rosen-MorseⅡ potential is discussed.

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