Exact solutions of the Spinless-Salpeter equation under Kink-Like potential

H. Hassanabadi; B. H. Yazarloo

doi:10.1088/1674-1137/37/12/123101

Chinese Physics C> 2013, Vol. 37> Issue(12) : 123101 DOI: 10.1088/1674-1137/37/12/123101

Exact solutions of the Spinless-Salpeter equation under Kink-Like potential

H. Hassanabadi ,
B. H. Yazarloo ^,

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Abstract：
The exact solution of Spinless-Salpeter equation (SSE) in the presence of Kink-Like potential is investigated. By using the basic concepts of the supersymmetric quantum mechanics (SUSYQM) formalism and the functional analysis method, we have obtained the bound state solutions in the closed form and the eigenfunctions of the system are reported in the term of hypergeometric function. We have also reported some numerical results.

References

[1]

Salpeter E E et al. Phys. Rev., 1951, 84; 1232[2] Wick G C. Phys. Rev., 1954, 96: 1124[3] Chang L et al. Rev. Lett., 2009, 103: 081601[4] Lucha W et al. Int. J. Mod. Phys. A, 2002, 17: 2233[5] Hall R et al. J. Phys. A: Math. Gen., 2005, 38: 7997[6] Lucha W et al. Phys. Rev. A, 1996, 54: 3790[7] WEI G F et al. Can. J. Phys., 2011, 89: 1225[8] Hassanabadi H et al. Commun. Theor. Phys., 2012, 57: 339[9] DONG S H et al. Phys. Lett. A, 2003, 314: 261[10] DONG S H et al. J. Math. Chem., 2012, 50: 881[11] LU L L et al. Few-Body Syst., 2012, 53: 573[12] Hassanabadi S et al. Advances in High Energy Physics, DOI: 10.1155/2012/804652[13] Castro A S De et al. Phys. Lett. A, 2006, 351: 379[14] JIA C S et al. Few-Body Syst., 2012, 52: 11[15] JIA C S et al. Int. J. Theor. Phys., 2008, 47: 664[16] Zarrinkamar S et al. Few-Body Syst., DOI: 10.1007/s00601-011-0272-3[17] Zarrinkamar S et al. Phys. Scr., 2011, 84: 065008[18] QIANG W C et al. Phys. Scr., 2005, 72: 127[19] DONG S H. Wave Equations in Higher Dimensions, Springer, 2011

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H. Hassanabadi and B. H. Yazarloo. Exact solutions of the Spinless-Salpeter equation under Kink-Like potential[J]. Chinese Physics C, 2013, 37(12): 123101. doi: 10.1088/1674-1137/37/12/123101

H. Hassanabadi and B. H. Yazarloo. Exact solutions of the Spinless-Salpeter equation under Kink-Like potential[J]. Chinese Physics C, 2013, 37(12): 123101. doi: 10.1088/1674-1137/37/12/123101 shu

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Received: 2013-01-17
Revised: 2013-05-09

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沈阳化工大学材料科学与工程学院沈阳 110142

Exact solutions of the Spinless-Salpeter equation under Kink-Like potential

H. Hassanabadi
B. H. Yazarloo ^,

Corresponding author: B. H. Yazarloo,

Received Date: 2013-01-17
Accepted Date: 2013-05-09
Available Online: 2013-12-05

Abstract: The exact solution of Spinless-Salpeter equation (SSE) in the presence of Kink-Like potential is investigated. By using the basic concepts of the supersymmetric quantum mechanics (SUSYQM) formalism and the functional analysis method, we have obtained the bound state solutions in the closed form and the eigenfunctions of the system are reported in the term of hypergeometric function. We have also reported some numerical results.