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《中国物理C》(英文)编辑部
2024年10月30日

Relativistic particle scattering states with tensor potential and spatially-dependent mass

  • We investigate the relativistic equation for particles with spin 1/2 in the q-parameter modified Pöschl-Teller potential, including Coulomb-like tensor interaction with spatially-dependent mass for the D-dimension. We present approximate solutions of the Dirac equation with these potentials for any spin-orbit quantum number κ under spin symmetry. The normalized wave functions are expressed in terms of the hyper-geometric series of the scattering states on the k/2π scale. We also give the formula for the phase shifts, and use the Nikiforov-Uvarov method to obtain the energy eigen-values equation.
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  • [1] Saad N, Hall R L, Ciftci H. Cent. Eur. J. Phys., 2008, 6: 717[2] Eshghi M, Mehraban H. Few-Body Syst., 2012, 52: 41[3] Jia C S, de Souza Dutra A. Ann. Phys., 2008, 323: 566[4] Arda A, Sever R, Tezcan C. Chin. Phys. Lett., 2010, 27: 010306[5] Galler M R, Kohn W. Phys. Rev. Lett., 1993, 70: 3103[6] Serra L I, Lipparini E. Europhys. Lett., 1997, 40: 667[7] Bastard G. Wave Mechanics Applied to Semiconductor Heterostructures, Les Editions de physique, Les Ulis, 1988[8] De Saavedra F A et al. Phys. Rev. B, 1994, 50: 4248[9] Puente A, Gasas M. Comput. Mater. Sci., 1994, 2: 441[10] Barranco M et al. Phys. Rev. B, 1997, 56: 8997[11] Puente A, Serra L I, Casas M. Zeit. Phys. D, 1994, 31: 283[12] Schmidt A G M. Phys. Lett. A, 2006, 353: 459[13] Wannier G H. Phys. Rev., 1937, 52: 191[14] Slater J C. Phys. Rev., 1949, 76: 1592[15] DiVincenzo D P, Mele E J. Phys. Rev. B, 1984, 29: 1685[16] Baym G, Pethick C J. Landau Fermi Liquid Theory: Concepts Applications, New York: Wiley, 1991[17] Plastino A R, Casas M, Plastino A. Phys. Lett. A, 2001, 281: 297[18] Tanaka T. J. Phys. A: Math. Gen., 2006, 39: 219[19] Quesne C. Ann. Phys., 2006, 321: 1221[20] GANG C. Phys. Lett. A, 2004, 329: 22[21] Dekar L, Chetouani L, Hammann T F. J. Math. Phys., 1998, 39: 2551[22] Alhaidari A D et al. Phys. Rev. A, 2007, 75: 062711[23] Panella O, Biondini S, Arda A. J. Phys. A: Math. Theor., 2010, 43: 325302[24] Dombey N, Kennedy P, Calogercos A. Phys. Rev. Lett., 2000, 85: 1787[25] Kennedy P. J. Phys. A, 2002, 35: 689[26] Rojas C, Villalba V M. Phys. Rev. A, 2005, 71: 052101-4[27] DONG S H, Lozada-Gassou M. Phys. Lett. A, 2004, 330:168[28] Arda A, Aydogdu O, Sever R. J. Phys. A: Math. Theor., 2010, 43: 425204[29] Movahedi M, Hamzavi M. Int. J. Phys. Sci., 2011, 6: 891[30] Alhaidari A D. J. Phys. A: Math. Theor., 2005, 38: 3409[31] Gincchio J N. Phys. Rep., 2005, 414:165[32] MAO G. Phys. Rev. C, 2003, 67: 044318[33] Alberto P et al. Phys. Rev. C, 2005, 71: 034313[34] Furnstahl R J, Rusnak J J, Serot B D. Nucl. Phys. A, 1998, 632: 607[35] Moshinsky M, Szczepaniak A. J. Phys. A: Math. Gen., 1989, 22: L817[36] Eshghi M, Hamzavi M. Commun. Theor. Phys., 2012, 57: 355[37] Akcay H, Tezcan C. Int. J. Mod. Phys. C, 2009, 20: 931[38] Aydogdu O, Sever R. Few-Boby Syst., 2010, 47: 193[39] Eshghi M, Mehraban H. Chin. J. Phys., 2011, 50: 533[40] Hamzavi M, Rajabi A A, Hassanabadi H. Few-Body Syst., 2010, 48: 171[41] Ikhdair S M, Sever R. Appl. Math. Com., 2010, 216: 911[42] Pschl G, Teller E. Z. Physik, 1933, 83: 143[43] Aktas M, Sever R. J. Mol. Struct. THEOCHEM, 2004, 710: 223[44] Zuniga J et al. Int. J. Quntum. Chem., 1996, 57: 43[45] De Rocha R, Capelas de Oliveira E. Rev. Mex. Fis., 2005, 51: 1[46] Iachello F, Oss S. Chem. Phys. Lett., 1993, 205: 285[47] Iachello F, Oss S. Chem. Phys. Lett., 1993, 99: 7337[48] Landau L D, Lifshitz E M, Quantum Mechanics. third edition. New-York: Pergaman, 1965. 73[49] Agboola D. arXive: 0811.3613v3[50] Hassanabadi H, Yazarloo B, LU L L. Chin. Phys. Lett., 2012, 29: 020303[51] JIA C S, SUN Y, LI Y. Phys. Lett. A, 2002, 305: 231[52] Bender C M, Boettcher S. Phys. Rev. Lett., 1998, 80: 5243[53] Mostafazadeh A. J. Math. Phys., 2002, 43: 205[54] Nikiforov A F, Uvarov V B. Special Functions of Mathematical Physics, Birkhauser Verlag Basel, 1988[55] DONG S H. Wave Equations in Higher Dimensions, Springer, Dordrecht Heidelberg, London, New-York, 2011[56] ZENG J Y. Quantum Mechanis, third edition. Vol. II, Beijing: Science Press, 2000[57] Agboola D. Phys. Scr., 2009, 80: 065304[58] CHEN C Y et al. Commun. Theor. Phys., 2011, 55: 399[59] Agboola D. arXiv:1011.2368v1[60] DONG S H. Factorization Method in Quantum Mechanics, Springer Dordrecht, the Netherlands, 2007[61] MENG J et al. Phys. Rev. C, 1999, 59: 154[62] MENG J et al. Phys. Rev. C, 1998, 58: R628[63] JIA C S, CHEM T, GUI L G. Phys. Lett. A, 2009, 373: 1621[64] ZHANG L H, LI X P, JIA C S. Phys. Scr., 2009, 80: 035003[65] XU Y, HE S, JIA C S. Phys. Scr., 2010, 81: 045001[66] JIA C S et al. Int. J. Mod. Phys. A, 2009, 24: 4519[67] Greene R L, Adrich C. Phys. Rev. A, 1976, 14: 2363[68] Arai A. J. math. Anal. Appl., 1991, 158: 63[69] CHEN C Y, SUN D S, LU F L. Phys. Lett. A, 2004, 330: 424[70] Gradshteyn I S, Ryzhik I M. Tables of Integrals, Series, and Products. five edition. New York: Academic Press, 1994[71] Abramovitz M, Stegun I A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1970[72] WANG Z X, GUO D R. Introdaction to Special Functions, Beijing: Science Press, 1979
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M. R. Abdi. Relativistic particle scattering states with tensor potential and spatially-dependent mass[J]. Chinese Physics C, 2013, 37(5): 053103. doi: 10.1088/1674-1137/37/5/053103
M. R. Abdi. Relativistic particle scattering states with tensor potential and spatially-dependent mass[J]. Chinese Physics C, 2013, 37(5): 053103.  doi: 10.1088/1674-1137/37/5/053103 shu
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Received: 2012-07-03
Revised: 2012-11-29
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Relativistic particle scattering states with tensor potential and spatially-dependent mass

Abstract: We investigate the relativistic equation for particles with spin 1/2 in the q-parameter modified Pöschl-Teller potential, including Coulomb-like tensor interaction with spatially-dependent mass for the D-dimension. We present approximate solutions of the Dirac equation with these potentials for any spin-orbit quantum number κ under spin symmetry. The normalized wave functions are expressed in terms of the hyper-geometric series of the scattering states on the k/2π scale. We also give the formula for the phase shifts, and use the Nikiforov-Uvarov method to obtain the energy eigen-values equation.

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