Table of Contents Author Guidelines Submit a Manuscript
Advances in Mathematical Physics
Volume 2015, Article ID 304093, 5 pages
http://dx.doi.org/10.1155/2015/304093
Research Article

A Novel Approach to Solve Quasiexactly Solvable Pauli Equation

Department of Engineering Physics, Gaziantep University, 27310 Gaziantep, Turkey

Received 9 October 2014; Accepted 6 December 2014

Academic Editor: Nikos Mastorakis

Copyright © 2015 Ramazan Koç et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Y. Aharonov and A. Casher, “Ground state of a spin-1/2 charged particle in a two-dimensional magnetic field,” Physical Review A, vol. 19, no. 6, pp. 2461–2462, 1979. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. G. N. Stanciu, “Further exact solutions of the Dirac equation,” Journal of Mathematical Physics, vol. 8, no. 10, pp. 2043–2047, 1967. View at Publisher · View at Google Scholar · View at Scopus
  3. F. Cooper, A. Khare, R. Musto, and A. Wipf, “Supersymmetry and the Dirac equation,” Annals of Physics, vol. 187, no. 1, pp. 1–28, 1988. View at Publisher · View at Google Scholar · View at MathSciNet
  4. F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Physics Reports, vol. 251, no. 5-6, pp. 267–385, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  5. A. V. Turbiner and A. G. Ushveridze, “Spectral singularities and quasi-exactly solvable quantal problem,” Physics Letters A, vol. 126, no. 3, pp. 181–183, 1987. View at Publisher · View at Google Scholar · View at MathSciNet
  6. A. V. Turbiner, “Quasi-exactly-solvable problems and sl2 algebra,” Communications in Mathematical Physics, vol. 118, no. 3, pp. 467–474, 1988. View at Publisher · View at Google Scholar · View at MathSciNet
  7. N. Kamran and P. J. Olver, “Lie algebras of differential operators and Lie-algebraic potentials,” Journal of Mathematical Analysis and Applications, vol. 145, no. 2, pp. 342–356, 1990. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. M. A. Shifman, “New findings in quantum mechanics (partial algebraization of the spectral problem),” International Journal of Modern Physics A, vol. 4, no. 12, pp. 2897–2952, 1989. View at Publisher · View at Google Scholar · View at MathSciNet
  9. C.-L. Ho and V. R. Khalilov, “Planar dirac electron in coulomb and magnetic fields,” Physical Review A: Atomic, Molecular, and Optical Physics, vol. 61, no. 3, 2000. View at Publisher · View at Google Scholar · View at Scopus
  10. S. M. Klishevich and M. S. Plyushchay, “Nonlinear supersymmetry, quantum anomaly and quasi-exactly solvable systems,” Nuclear Physics B, vol. 606, no. 3, pp. 583–612, 2001. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. C.-L. Ho and P. Roy, “Quasi-exact solvability of the Pauli equation,” Journal of Physics A: Mathematical and General, vol. 36, no. 16, pp. 4617–4628, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  12. H. Çiftçi, R. L. Hall, and N. Saad, “Asymptotic iteration method for eigenvalue problems,” Journal of Physics A: Mathematical and General, vol. 36, no. 47, pp. 11807–11816, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  13. T. Barakat, K. Abodayeh, and A. Mukheimer, “The asymptotic iteration method for the angular spheroidal eigenvalues,” Journal of Physics. A. Mathematical and General, vol. 38, no. 6, pp. 1299–1304, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. F. M. Fernández, “On an iteration method for eigenvalue problems,” Journal of Physics. A. Mathematical and General, vol. 37, no. 23, pp. 6173–6180, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  15. I. Boztosun, M. Karakoc, F. Yasuk, and A. Durmus, “Asymptotic iteration method solutions to the relativistic Duffin-Kemmer-Petiau equation,” Journal of Mathematical Physics, vol. 47, no. 6, Article ID 062301, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. A. J. Sous, “Solution for the eigenenergies of sextic anharmonic oscillator potential Vx=A6x6+A4x4+A2x,” Modern Physics Letters A, vol. 21, no. 21, pp. 1675–1682, 2006. View at Publisher · View at Google Scholar
  17. P. Amore and F. M. Fernández, “Comment on an application of the asymptotic iteration method to a perturbed Coulomb model,” Journal of Physics, A: Mathematical and Theoretical, vol. 39, no. 33, pp. 10491–10497, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  18. E. Olğar, “Exact solution of Klein. Gordon equation by asymptotic iteration method,” Chinese Physics Letters, vol. 25, no. 6, pp. 1939–1942, 2008. View at Publisher · View at Google Scholar
  19. Ö. Öztemel and E. Olğar, “An alternative solution of diatomic molecules,” Central European Journal of Physics, vol. 12, no. 2, pp. 103–110, 2014. View at Publisher · View at Google Scholar
  20. E. Papp, “Symmetry relationships between energy formulae and constraint conditions for interrelated superpositions of power potentials,” Physics Letters A, vol. 157, no. 4-5, pp. 192–194, 1991. View at Publisher · View at Google Scholar · View at MathSciNet
  21. S.-H. Dong, Z.-Q. Ma, and G. Esposito, “Exact solutions of the Schrödinger equation with inverse-power potential,” Foundations of Physics Letters, vol. 12, no. 5, pp. 465–474, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus