Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach

  • In this paper we have solved the two-body spinless-Salpeter (SS) equation under the Coulomb and exponential type potentials. We have applied an approximation for the centrifugal term in our calculations. The energy eigenvalues and the corresponding eigenfunctions are reported by using the Laplace transform approach for any n, l states.
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  • [1] WEI G F, DONG S H. Eur. Phys. J. A, 2010, 43: 185-190[2] Yazarloo B H et al. Eur. Phys. J. Plus., 2012, 127: 51[3] GU X Y, DONG S H. J. Math. Chem., 2011, 49: 2053-2062[4] DONG S H, SUN G H. Phys. Lett. A, 2003, 314: 261-266[5] DONG S H. Int. J. Theor. Phys., 2001, 40: 559[6] DONG S H. Int. J. Theor. Phys., 2000, 39: 1119[7] Zarrinkamar S et al. Phys. Scr., 2011, 84: 065008[8] Arda A, Sever R. J. Math. Chem., 2012, 50: 1484[9] Arda A, Sever R. Mod. Phys. Lett. A, 2012, 27: 1250171[10] Zarrinkamar S et al. Few-Body Syst., DOI 10.1007/s00601-011-0272-3[11] Spiegel M R. Schaum's Outline of Theory and Problems of Laplace Trans-forms. NY: Schaum Publishing Co., 1965[12] Abramowitz M, Stegun I A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications, 1965
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E. Momtazi, B. H. Yazarloo and H. Hassanabadi. Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach[J]. Chinese Physics C, 2014, 38(2): 023101. doi: 10.1088/1674-1137/38/2/023101
E. Momtazi, B. H. Yazarloo and H. Hassanabadi. Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach[J]. Chinese Physics C, 2014, 38(2): 023101.  doi: 10.1088/1674-1137/38/2/023101 shu
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Received: 2013-03-13
Revised: 2013-04-15
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Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach

    Corresponding author: H. Hassanabadi,

Abstract: In this paper we have solved the two-body spinless-Salpeter (SS) equation under the Coulomb and exponential type potentials. We have applied an approximation for the centrifugal term in our calculations. The energy eigenvalues and the corresponding eigenfunctions are reported by using the Laplace transform approach for any n, l states.

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