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

E. Momtazi; B. H. Yazarloo; H. Hassanabadi

doi:10.1088/1674-1137/38/2/023101

Chinese Physics C> 2014, Vol. 38> Issue(2) : 023101 DOI: 10.1088/1674-1137/38/2/023101

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

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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.

References

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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

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Received: 2013-03-13
Revised: 2013-04-15

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: H. Hassanabadi,

Received Date: 2013-03-13
Accepted Date: 2013-04-15
Available Online: 2014-02-05

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.