Bound state solutions of a Dirac particle undergoing a tensor interaction potentials via asymptotic iteration method

References

• Infeld L, Hull TE. The factorization method. Rev Mod Phys. 1951;23:21–68.
   Web of Science ®Google Scholar
• Nikiforov AF, Uvarov VB. Special functions of mathematical physics. New York: Academic; 1988.
   Google Scholar
• Levai G. On some exactly solvable potentials derived from supersymmetric quantum mechanics. J Phys A: Math Gen. 1992;25:L521–L524.
   Google Scholar
• Raposo A, Weber H, Alvarez-Castillo D, et al. Romanovski polynomials in selected physics problems. Open Physics. 2007;5(3):253–284.
   Google Scholar
• Gendenshtein L. Pisma Zh. Eksp. Teor. Fiz. Piz. Red. 38 (1983) 299 (JETP Lett. 38 (1983) 356–359.
   Google Scholar
• Ciftci H, Hall RL, Saad N. Asymptotic iteration method for eigenvalue problems. J Phys A: Math Gen. 2003;36:11807–11816.
   Google Scholar
• Abu Arqub O. Application of residual power series method for the solution of time-fractional Schrödinger equations in one-dimensional space. Fundam Inform. 2019;166:87–110.
   Web of Science ®Google Scholar
• Abu Arqub O, Shawagfeh N. Application of reproducing kernel algorithm for solving Dirichlet time-fractional diffusion-Gordon types equations in porous media. J Porous Media. 2019;22(4):411–434.
   Web of Science ®Google Scholar
• Abu Arqub O. Optimal vorticity accuracy in an efficient velocity–vorticity method for the 2D Navier–Stokes equations. Calcolo. 2018;55(1):3.
   Web of Science ®Google Scholar
• Abu Arqub O. Numerical algorithm for the solutions of fractional order systems of Dirichlet function types with comparative analysis. Fundam Inform. 2019;166:111–137.
   Web of Science ®Google Scholar
• Moshinsky M, Szczepaniak A. The Dirac oscillator. J Phys A: Math Gen. 1989;22:L817–L819.
   Google Scholar
• Alberto P, Lisboa R, Malheiro M, et al. Tensor coupling and pseudospin symmetry in nuclei. Phys Rev C. 2005;71:034313.
   Web of Science ®Google Scholar
• Aydogdu O, Maghsoodi E, Hassanabadi H. Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction. Chin Phys B. 2013;22:010302.
   Web of Science ®Google Scholar
• Akcay H, Sever R. Approximate analytical solutions of Dirac equation with spin and pseudo spin symmetries for the diatomic molecular potentials plus a tensor term with any angular momentum. Few-Body Syst. 2013;54(11):1839–1850.
   Web of Science ®Google Scholar
• Garcia MG, Pratapsi S, Alberto P, et al. Pure Coulomb tensor interaction in the Dirac equation. Phys Rev A. 2019;99:062102.
   Web of Science ®Google Scholar
• Alsadi KS. Analytical solution of Dirac-morse problem with tensor potential by asymptotic iteration method. Appl Math Inf Sci. 2015;9(4):1931–1936.
   Google Scholar
• Hamzavi M, Rajabi AA, Hassanabadi H. Exactly complete solutions of the Dirac equation with pseudoharmonic potential including linear plus Coulomb-like tensor potential. Int J Mod Phys A. 2011;26:1363–1374.
   Web of Science ®Google Scholar
• Alsadi KS. Exact solutions of Dirac-Rosen-Morse problem via asymptotic iteration method. J Nanoelectron Optoelectron. 2015;10:683–687.
   Web of Science ®Google Scholar
• Nelson NI, Ita BI, Joseph I, et al. Analytic spin and Pseudospin solutions to the Dirac equation for the quadratic exponential-type potential plus Eckart potential and Yukawa-like tensor interaction. World J Appl Phys. 2017;2(3):77.
   Google Scholar
• Louis H, Iserom IB, Odey MT, et al. Solutions to the Dirac equation for manning-Rosen plus shifted Deng-fan potential and coulomb-like tensor interaction using nikiforov-uvarov method. Int J Chem. 2018;10(3):99–106.
   Google Scholar
• Sobhani H, Hassanabadi H. Exact solutions for time-dependent schrödinger equation in presence of the pöschl-teller double-ring shaped harmonic potential. Acta Phys Pol A. 2019;136(1):17–20.
   Web of Science ®Google Scholar
• Alhaidari AD. Solution of the Dirac equation for potential interaction. Int J Mod Phys A. 2003;18(27):4955–4973.
   Web of Science ®Google Scholar
• Suparmia A, Caria C, Detab UA. Exact solution of Dirac equation for Scarf potential with new tensor coupling potential for spin and pseudospin symmetries using Romanovski polynomials. Chin Phys B. 2014;23(9):090304.
   Web of Science ®Google Scholar
• Dong S-H. Factorization method in quantum mechanics. Fundamental theories of physics, 150. Netherlands: Springer; 2007; p. 95–110.
   Google Scholar
• Jia CS, Guo P, Diao YF, et al. Solutions of Dirac equations with the Pöschl-teller potential. Eur Phys J A. 2007;34(1):41.
   Web of Science ®Google Scholar
• Suparmi S, Cari C. Bound state solution of Dirac equation for generalized Pöschl-teller plus trigomometric Pöschl-teller non- central potential using SUSY quantum mechanics. J Math Fundam Sci. 2014;46(3):205–223.
   Google Scholar
• Taşkın F, Koçak G. Spin symmetric solutions of Dirac equation with pöschl-teller potential. Chin Phys B. 2011;20(7):070302.
   Web of Science ®Google Scholar
• Saad N, Hall RL, Ciftci H. Criterion for polynomial solutions to a class of linear differential equations of second order. J Phys A Math Gen. 2006;39:13445–13454.
   Google Scholar
• Falaye BJ. Arbitrary ℓ-state solutions of the hyperbolical potential by the asymptotic iteration method. Few-Body Syst. 2012;53:557–562.
   Web of Science ®Google Scholar
• Fernandez FM. On an iteration method for eigenvalue problems. J Phys A: Math Gen. 2004;37:6173–6180.
   Google Scholar
• Sous AJ. Eigenenergies for the razavy potential V(x) = (ζ cosh 2x-M)2 using the asymptotic iteration method. Mod Phys Lett A. 2007;22:1677.
   Web of Science ®Google Scholar
• Barakat T, Alhendi HA. Generalized Dirac equation with induced energy-dependent potential via simple similarity transformation and asymptotic iteration methods. Found Phys. 2013;43(10):1171–1181.
   Web of Science ®Google Scholar
• Ikhdair SM, Falaye BJ, Hamzavi M. Approximate eigensolutions of the deformed woods—Saxon potential via AIM. Chin Phys Lett. 2013;30:020305.
   Web of Science ®Google Scholar
• Ismail MEH, Saad N. The asymptotic iteration method revisited. J Math Phys. 2020;61:033501.
   Web of Science ®Google Scholar
• Ikot AN, Okorie U, Ngiagian AT, et al. Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method. Eclética Química J. 2020;45(1):65–76.
   Google Scholar
• Maiz F. J Basic Appl Sci. 2019;5(2):20–26.
   Google Scholar
• Alsadi KS. Three-body calculation of the 4He(3H,γ)7 Li and 4He(3He,γ)7Be reactions and structure of the 7Li and 7Be at solar energies. Chin Phys Lett. 2014;31(1):012101.
   Web of Science ®Google Scholar
• Arfken GB, Weber HJ. Mathematical methods for physicists. San Diego: Academic Press; 1995.
   Google Scholar
• Alvarez–Castillo DE, Kirchbach M. Rev Mex Fís.E. 2007;53(2):143–154.
   Google Scholar