International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2574

Full Length Research Paper

Solutions of the Klein-Gordon equation for l≠0 with position-dependent mass for modified Eckart potential plus Hulthen potential

M. R. Shojaei
  • M. R. Shojaei
  • Department of Physics, University of Shahrood, P. O. Box 36155-316, Shahrood, Iran.
  • Google Scholar
M. Mousavi
  • M. Mousavi
  • Department of Physics, University of Shahrood, P. O. Box 36155-316, Shahrood, Iran.
  • Google Scholar


  •  Received: 30 March 2015
  •  Accepted: 27 April 2015
  •  Published: 16 May 2015

References

Alberto P, de Castro AS, Malheiro M (2013). Spin and pseudospin symmetries of the Dirac equation with confining central potentials. Phys. Rev. C 87, 031301(R).
Crossref
 
Alhaidari AD (2001). Relativistic extension of shape-invariant potentials, J. Phys. A: Math. Gen. 34:9827.
Crossref
 
Antia AD, ikot AN, Ituen EE, Akpan IO (2012). Bound state solutions of the Klein - Gordon equation for deformed Hulthen potential with position dependent mass. S. Lankan. J. Phys. 13(1):27-40.
Crossref
 
ARDA A, Sever R, Tezcan C (2009). Approximate Analytical Solutions of the Klein-Gordon Equation for the Hulthen Potential with Position-Dependent Mass. Phys. Scr. 79:015006.
Crossref
 
Arda A, Sever R, Tezcan C (2010). Analytical Solutions to the Klein–Gordon Equation with Position-Dependent Mass for q-Parameter Pöschl–Teller Potential. Chin. Phys. Lett.27:010306.
Crossref
 
Arias de Saavedra F, Boronat J, Polls A, Fabrocini A (1994). Effective mass of one He4 atom in liquid He3. Phys. Rev. B. 50: 4248(R).
Crossref
 
Astorga AC, Andez DJ, Negro J (2012). Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators. SIGMA. 8:082.
 
AUVIL PR, BROWN LM (1978). The relativistic hydrogen atom: A simple solution. Am. J. Phys. 46(6):679-681.
Crossref
 
Aygun M, Boztosun D, Sahin Y (2012). Solution of the Klein-Gordon Equation with Position-Dependent Mass for Exponential Scalar and Vector Potentials by an Alternative Approach. GU. J. Sci. 25(2):317-321.
 
Barranco M, Pi M, Gatica SM, Hernandez ES, Navarro J (1997). Structure and energetics of mixed 4He-3He drops. Phys. Rev. B. 56:8997.
Crossref
 
Berkdemir C, Berkdemir A, Sever R (2006). Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods–Saxon potential. Phys. A: Math. Gen. 399:13455.
Crossref
 
Berkdemir C, Berkdemir A, Sever R (2006). Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods-Saxon potential. J. Phys. A: Math. Gen. 39(43):13455.
Crossref
 
Chen CY (2005). Exact solutions of the Dirac equation with scalar and vector Hartmann potentials. Phys. Lett. A. 339:283-287.
Crossref
 
Cheng YF, Dai TQ (2007). Exact solution of the Schrödinger equation for the modified Kratzer potential plus a ring-shaped potential by the Nikiforov–Uvarov method. Phys. Scr.75:274.
Crossref
 
Cheng YF, Dai TQ (2007). Exact Solutions of the Klein-Gordon Equation with a Ring-shaped Modified Kratzer Potential. Chin. J. Phys. 45:480.
 
Ciftci H, Hall RL, Saad N (2003). Asymptotic iteration method for eigenvalue problems. J. Phys. A. 36:11807.
Crossref
 
de Souza Dutra A, Hott M (2006). Dirac equation exact solutions for generalized asymmetrical Hartmann potentials. Phys. Lett. A. 356:215-219.
Crossref
 
Farrokh M, Shojaeia MR, Rajabi AA (2013). Klein-Gordon equation with Hulth'en potential and position-dependent mass. Eur. Phys. J. Plus. 128:14.
Crossref
 
Feizi H, Rajabi AA, Shojaei MR (2011). Supersymmetric Solution Of The Schrödinger Equation For Woods–Saxon Potential By Using The Pekeris Approximation. Acta Phys. Polonica B. 42:2143.
Crossref
 
Feizi H, Shojaei MR, Rajabi AA (2013). Relativistic symmetries of the Manning-Rosen potential in the frame of supersymmetry. Eur. Phys. J. Plus 128:3.
Crossref
 
Geller MR, Kohn W (1993). Quantum mechanics of electrons in crystals with graded composition. Phys. Rev. Lett. 70:3103.
Crossref
 
Ginocchio JN (2005). Relativistic symmetries in nuclei and hadrons. Phys. Rep. 414:165.
Crossref
 
Greiner W (2000). Relativistic Quantum Mechanics: Wave Equations (Springer, 2000).
 
Guo JY, Sheng ZQ (2005). Solution of the Dirac equation for the Woods–Saxon potential with spin and pseudospin symmetry. Phys. Lett. A. 338:90-96.
Crossref
 
Hill EH (1954). The Theory of Vector Spherical Harmonics. Am. J. Phys. 22:211.
Crossref
 
Ikot AN, Udoimuk AB, Akpabio LE (2011). Bound states solution of Klein-Gordon Equation with type - I equal vector and Scalar Poschl-Teller potential for Arbitray l – State. Am. J. Sci. Ind. Res. 2:179-183.
Crossref
 
Jia CS, de Souza Dutra A (2006). Position-dependent effective mass Dirac equations with PT-symmetric and non-PT-symmetric potentials. J. Phys. A. Math. Gen. 39:11877.
Crossref
 
Jia CS, Gao P, Peng XL (2006). Exact solution of the Dirac–Eckart problem with spin and pseudospin symmetry. J. Phys. A: Math. Gen. 39:7737.
Crossref
 
Jia CS, Li XP, Zhang LH (2012). Exact Solutions of the Klein–Gordon Equation with Position-Dependent Mass for Mixed Vector and Scalar Kink-Like Potentials. Few-Body Syst. 52:11–18.
Crossref
 
Landau LD, Lifshitz EM (1977). Quantum Mechanics, Non-Relativistic Theory, 3rd. Edition, Pergamon, Ox-ford.
 
O¨ ZER O, LE’VAI G (2012). Asymptotic Iteration Method Applied To Bound-State Problems With Unbroken And Broken Supersymmetry. Rom. J. Phys. 57(3-4):582–593.
 
Oyewumi KJ, Akoshile CO (2010). Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry. Eur. Phys. J. A. 45:311-318.
Crossref
 
Qiang WC (2003). Bound states of the Klein-Gordon and Dirac equations for potential V(r) = Ar-2-Br-1. Chin. Phys. 12(10):1054.
Crossref
 
Qiang WC (2004). Bound states of the Klein–Gordon equation for ring-shaped Kratzer-type potential. Chin. Phys. 13:575.
Crossref
 
Rajabi AA, Hamzavi M (2013). A new Coulomb ring-shaped potential via generalized parametric Nikiforov-Uvarov method. Int. J. Theor. Phys. 7(7):17.
Crossref
 
Schiff LI (1955). Quantum Mechanics, 3rd Edition,McGraw-Hill, New York.
 
Serra L, Lipparini E (1997). Spin response of unpolarized quantum dots phys. Euro. Lett. 40:667.
Crossref
 
Shojaei MR, Rajabi AA, Farrokh M, Zoghi-Foumani N (2014). Energy Levels of Spin-1/2 Particles with Yukawa Interaction. Int. J. Mod. Phys. 5:773-780.
Crossref
 
VonRoos O (1983). Position-dependent effective masses in semiconductor theory. Phys. Rev. B. 27:7547.
Crossref
 
Xue-Cai Z, Quan-Wen L, Chun-Sheng J, Li-Zhi W (2005). Bound states of the Dirac equation with vector and scalar Scarf-type potentials. Phys. Lett. A. 340:59-69.
Crossref
 
Yi LZ, Diao YF, Liu JY, Jia CS (2004). Bound states of the Klein–Gordon equation with vector and scalar Rosen–Morse-type potentials. Phys. Lett. A. 333:212-217.
Crossref
 
Zhang XC, Liu QW, Jia CS, Wang LZ (2005). Bound states of the Dirac equation with vector and scalar Scarf-type potentials. Phys. Lett. A. 340:59
Crossref