Solution of the Dirac Equation with Position-Dependent Mass for q-Parameter Modified Pöschl–Teller and Coulomb-like Tensor Potential

Galler M.R., Kohn W.: Quantum mechanics of electrons in crystals with graded composition. Phys. Rev. Lett. 70, 3103–3106 (1993)

Puente A., Gasas M.: Non-local energy density functional for atoms and metal clusters. Comput. Mater. Sci. 2, 441–449 (1994)

De Saavedra F.A., Boronat J., Polls A., Fabrocini A.: Effective mass of one 4He atom in liquid 3He. Phys. Rev. B 50, 4248–4251 (1994)

Barranco M., Pi M., Gatica S.M., Hernandez E.S., Navarro J.: Structure and energetics of mixed 4He-3He drops. Phys. Rev. B 56, 8997–9003 (1997)

Puente A., Serra L.I., Casas M.: Dipole excitation of Na clusters with a non-local energy density functional. Zeit. Phys. D 31, 283–286 (1994)

Serra L.I., Lipparini E.: Spin response of unpolarized quantum dots. Europhys. Lett. 40, 667–672 (1997)

Bastard G.: Wave Mechanics Applied to Semiconductor Heterostructures. Les Editions de physique, Les Ulis (1988)

Schmidt A.G.M.: Wave-packet revival for the Schrödinger equation with position-dependent mass. Phys. Lett. A 353, 459–462 (2006)

Jia C.S., de Souza Dutra A.: Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass. Ann. Phys. 323, 566–579 (2008)

Ikhdair, S.M., Sever, R.: Solutions of the spatially-dependent mass Dirac equation with the spin and pseudo-spin symmetry for the Coulomb-like potential. arXiv:1001.3943

Panella O., Biondini S., Arda A.: New exact solution of the one dimensional Dirac Equation for the Woods-Saxon potential within the effective mass case. J. Phys. A: Math. Theor. 43, 325302 (2010). doi: 10.1088/1751-8113/43/32/325302

Alhaidari A.D.: Solution of the Dirac equation with position-dependent mass in the coulomb field. Phys. Lett. A 322, 72–77 (2004)

Peng X.L., Liu J.Y., Jia C.S.: Approximation solution of the Dirac equation with Position dependent mass for the generalized Hulthén potential. Phys. Lett. A 352, 478–483 (2006)

Gincchio J.N.: Relativistic symmetries in nuclei and hadrons. Phys. Rep. 414, 165–261 (2005)

Alberto P., Lisboa R., Malheiro M., de Castro A.S.: Tensor coupling and pseudospin symmetry in nuclei. Phys. Rev. C 71, 034313-7 (2005)

Ginocchio J.N.: Pseudospin as a relativistic symmetry. Phys. Rev. Lett. 78, 436–439 (1997)

Ginocchio J.N., Leviatan A.: On the relativistic foundations of pseudospin symmetry in nuclei. Phys. Lett. B 425, 1–5 (1998)

Furnstahl R.J., Rusnak J.J., Serot B.D.: The nuclear spin-orbit force in chiral effective field theories. Nucl. Phys. A 632, 607–623 (1998)

Moshinsky M., Szczepaniak A.: The Dirac oscillator. J. Phys. A: Math. Gen. 22, L817–L820 (1989)

Mao G.: Effect of tensor couplings in a relativistic Hartree approach for finite nuclei. Phys. Rev. C 67, 0443181-2 (2003)

Hamzavi M., Rajabi A.A., Hassanabadi H.: Exact pseudospin symmetry solution of the Dirac equation for spatially-dependent mass Coulomb potential including a Coulomb-like tensor interaction via asymptotic iteration method. Phys. Lett. A 374, 4303–4307 (2010)

Akcay H., Tezcan C.: Exact solutions of the Dirac equation with harmonic oscillator potential including a Coulomb-like tensor potential. Int. J. Mod. Phys. C 20, 931–940 (2009)

Hamzavi M., Hassanabadi H., Rajabi A.A.: Approximate pseudospin solutions of the Dirac equation with the Eckart potential including a Coulomb-like tensor potential. Int. J. Theor. Phys. 50(2), 454–464 (2011)

Zarrinkamar S., Rajabi A.A., Hassanabadi H.: Dirac equation for the harmonic scalar and vector potentials and linear plus Coulomb-like tensor potential; the SUSY approach. Ann. Phys. 325, 2522–2528 (2010)

Akcay H.: Dirac equation with scalar and vector quadratic potentials and Coulomb-like tensor potential. Phys. Lett. A 373, 616–620 (2009)

Aydogdu O., Sever R.: Exact pseudospin symmetric solution of the Dirac equation for pseudoharmonic potential in the presence of tensor potential. Few-Boby Syst. 47(3), 193–200 (2010)

Hamzavi M., Rajabi A.A., Hassanabadi H.: Exact spin and pseudospin symmetry solutions of the Dirac equation for Mie-type potential including a Coulomb-like tensor potential. Few-Body Syst. 48, 171–182 (2010)

Ikhdair S.M., Sever R.: Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential. Appl. Math. Com. 216, 911–923 (2010)

Arda A., Sever R., Tezcan C.: Analytical solutions to the Klein–Gordon equation with Position-Dependent Mass for q-parameter Pöschl–Teller Potential. Chin. Phys. Lett. 27, 010306-4 (2010)

Arai A.: Exactly solvable supersymmetric quantum mechanics. J. Math. Anal. Appl. 158, 63–79 (1991)

Nikiforov A.F., Uvarov V.B.: Special Functions of Mathematical Physics. Birkhauser Verlag, Basel (1988)

Greiner W.: Relativisitic Quantum Mechanics, Wave Equation. Springer, Berlin (1981)

Bjorken J.D., Drell S.D.: Relativistic Quantum Mechanics. McGraw-Hill, NY (1964)

Agboola, D.: Dirac- Hulthén Problem with Position-dependent Mass in D-dimensions. Arxiv/math-ph/1011.2368

Arda A., Sever R., Tezcan C.: Approximate analytical solutions of the effective mass Dirac equation for the generalized Hulthén potential with any l-value. Cent. Eur. J. Phys. 8(5), 843–849 (2010)

Meng J., Sugawara-Tanaha K., Yamaji S., Arima A.: Pseudospin symmetry in Zn and Sn isotopes from the proton drip line to the neutron drip line. Phys. Rev. C 59, 154–163 (1999)

Meng J., Sugawara-Tanabe K., Yamaji S., Ring P., Arima A.: Pseudospin symmetry in relativistic mean field theory. Phys. Rev. C 58, R628–R631 (1998)

Antia A.D., Ikot A.N., Akpabio L.E.: Exact solutions of the Schrödinger equation with Manning-Rosen potential plus a ring-shaped like potential by Nikiforov-Uvarov method. Eur. J. Sci. Res. 46, 107–118 (2010)

Jia C.S., Chem T., Gui L.G.: Approximate analytical solutions of the Dirac equation with the generalized Pöschl–Teller including the pseudo-centrifugal term. Phys. Lett. A 373, 1621–1626 (2009)

Zhang L.H., Li X.P., Jia C.S.: Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry. Phys. Scr. 80, 035003 (2009). doi: 10.1088/0031-8949/80/03/035003

Xu Y., He S., Jia C.S.: Approximate analytical solutions of the Klein–Gordon equation with the Pöschl–Teller potential including the centrifugal term. Phys. Scr. 81, 045001 (2010). doi: 10.1088/0031-8949/81/04/045001

Jia C.S., Diao Y.F., Yi L.Z., Chen T.: Arbitrary l-wave solutions of the Schrödinger Equation with the Hulthén Potential Model. Int. J. Mod. Phys. A 24, 4519–4528 (2009)

Greene R.L., Adrich C.: Variational wave functions for a screened Coulomb potential. Phys. Rev. A 14, 2363–2366 (1976)

Aydugdu O., Sever R.: Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit. Ann. Phys. 325, 373–383 (2010)

Agboola, D.: Dirac equation with spin symmetry for the Modified Pöschl–Teller potential in D-dimensions. arXiv:1010.5981v1

Agboola D.: Solutions to the Modified Pöschl–Teller potential in D-dimensions. Chin. Phys. Lett. 27(4), 040301 (2010) arXiv:0811.3613v3