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Arbitrary Wave Relativistic Bound State Solutions for the Eckart Potential

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Abstract

The approximately analytical bound state solutions of the l-wave Klein-Gordon and k-state Dirac equations with the mixed Eckart potentials are carried out by a proper approximation to the centrifugal term. The analytical radial wave functions of the l-wave Klein-Gordon and k-state Dirac equations with the mixed Eckart potentials are presented and the corresponding energy equations are derived. Two special cases for k=1 and for k=1 and β=0 are studied briefly. Finally, we also verify the rationality of this approximation.

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Authors and Affiliations

  1. School of Physics, Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand

    Xu-Yang Liu

  2. Department of Physics, Xi’an University of Arts and Science, Xi’an, 710065, People’s Republic of China

    Gao-Feng Wei

  3. Department of Physics, Guizhou University, Guiyang, 550025, People’s Republic of China

    Chao-Yun Long

Authors
  1. Xu-Yang Liu
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  2. Gao-Feng Wei
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  3. Chao-Yun Long
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Correspondence to Gao-Feng Wei.

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Liu, XY., Wei, GF. & Long, CY. Arbitrary Wave Relativistic Bound State Solutions for the Eckart Potential. Int J Theor Phys 48, 463–470 (2009). https://doi.org/10.1007/s10773-008-9821-z

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  • DOI: https://doi.org/10.1007/s10773-008-9821-z

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