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Condition for a Bounded System of Klein–Gordon Particles in Electric and Magnetic Fields

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Abstract

We investigate the motion of relativistic spinless particles in an external electromagnetic field that is considered to has a constant magnetic field and a time-dependent electric field. For such a system, we obtain analytical eigenfunctions through Asymptotic Iteration Method. We also obtain a condition of choosing the external magnetic field for which the system is bounded with usage of the method in perturbation theory.

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References

  1. T.P. Wangler, RF Linear Accelerators (Wiley, Hoboken, 2008)

    Book  Google Scholar 

  2. D.A. Edwards, H.T. Edwards, Rev. Accel. Sci. Technol. 01(01), 99 (2008)

    Article  Google Scholar 

  3. P.B. Wilson, Rev. Accel. Sci. Technol. 1, 7 (2008)

    Article  Google Scholar 

  4. T.F.D. Herman Suit, A. Trofimov, Rev. Accel. Sci. Technol. 2, 1 (2009)

    Article  Google Scholar 

  5. G. Wiebusch, J. Main, K. Krüger, H. Rottke, A. Holle, K. Welge, Phys. Rev. Lett. 62(24), 2821 (1989)

    Article  ADS  Google Scholar 

  6. L. Lam, J. Math. Phys. 12(02), 299 (1971)

    Article  ADS  Google Scholar 

  7. K. Bakke, H. Belich, Ann. Phys. 373, 115 (2016)

    Article  ADS  Google Scholar 

  8. K. Bakke, Eur. Phys. J. B 85, 354 (2012)

    Article  ADS  Google Scholar 

  9. I. Bialynicki-Birula, Ł. Rudnicki, A. Wienczek, arXiv preprint arXiv:1108.2615 (2011)

  10. T. Adorno, S.P. Gavrilov, D.M. Gitman, Phys. Scr. 90(7), 074005 (2015)

    Article  ADS  Google Scholar 

  11. S. Kim, J. Phys. Conf. Ser. 594, 012050 (2015)

    Article  Google Scholar 

  12. K. Sogut, A. Havare, Adv. High Energy Phys. 2014 (2014), Article ID 493120

  13. P.J. Redmond, J. Math. Phys. 6(7), 1163 (1965)

    Article  ADS  Google Scholar 

  14. R.L. Liboff, Phys. Rev. 141(1), 222 (1966)

    Article  ADS  Google Scholar 

  15. F. Occhionero, M. Demianski, Phys. Rev. Lett. 23(19), 1128 (1969)

    Article  ADS  Google Scholar 

  16. L. Lam, J. Math. Phys. 12(2), 299 (1971)

    Article  ADS  Google Scholar 

  17. M. Grewing, H. Heintzmann, Phys. Lett. A 42(4), 325 (1972)

    Article  ADS  Google Scholar 

  18. H. Kleinert, R. Ruffini, S.S. Xue, Phys. Rev. D 78(2), 025011 (2008)

    Article  ADS  Google Scholar 

  19. K. Sogut, H. Yanar, A. Havare, Commun. Theor. Phys. 66(5), 521 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  20. S.P. Kim, D.N. Page, Phys. Rev. D 73(6), 065020 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  21. H. Fujii, K. Itakura, Nucl. Phys. A 809, 88 (2008)

    Article  ADS  Google Scholar 

  22. T. Lappi, L. McLerran, Nucl. Phys. A 772, 200 (2006)

    Article  ADS  Google Scholar 

  23. N. Tajni, Ann. Phys. 324, 1691 (2009)

    Article  ADS  Google Scholar 

  24. B.L. Spokoiny, Phys. Lett. A 88, 328 (1982)

    Article  ADS  Google Scholar 

  25. R. Burman, Proc. IEEE 54(06), 888

  26. H. Ciftci, R.L. Hall, N. Saad, J. Phys. A Math. Gen. 36(47), 11807 (2003)

    Article  ADS  Google Scholar 

  27. H. Ciftci, R.L. Hall, N. Saad, Cent. Eur. J. Phys. 11(1), 37 (2013)

    Google Scholar 

  28. H. Ciftci, R.L. Hall, N. Saad, Phys. Rev. A 72(2), 022101 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  29. H. Ciftci, R.L. Hall, N. Saad, Phys. Lett. A 340(5), 388 (2005)

    Article  ADS  Google Scholar 

  30. E. Olğar, R. Koç, H. Tütüncüler, Phys. Scr. 78(1), 015011 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  31. E. Olğar, Chin. Phys. Lett. 25(6), 1939 (2008)

    Article  ADS  Google Scholar 

  32. H. Ciftci, H. Kisoglu, Chin. Phys. B 25(3), 030201 (2016)

    Article  Google Scholar 

  33. H. Kisoglu, H. Ciftci, Commun. Theor. Phys. 67(4), 350 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  34. O. Bayrak, I. Boztosun, H. Ciftci, Int. J. Quantum Chem. 107(3), 540 (2007)

    Article  ADS  Google Scholar 

  35. O. Bayrak, I. Boztosun, J. Phys. A Math. Gen. 39(22), 6955 (2006)

    Article  ADS  Google Scholar 

  36. C.Y. Zhang, S.J. Zhang, B. Wang, Nucl. Phys. B 899, 37 (2015)

    Article  ADS  Google Scholar 

  37. W. Greiner, Relativistic Quantum Mechanics: Wave Equations, 3rd edn (Springer, Berlin, 2000)

  38. C. Furtado, F. Moraes, V.B. Bezerra, Phys. Rev. D 59, 107504 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  39. R.L.L. Vitoria, K. Bakke, Int. J. Mod. Phys. D 27, 1850005 (2018)

    Article  ADS  Google Scholar 

  40. E.R. Figueiredo Medeiros, E.R. Bezerra de Mello, Eur. Phys. J. C 72, 2051 (2012)

    Article  ADS  Google Scholar 

  41. I.I. Rabi, Z. Phys. 49, 507 (1928)

    Article  ADS  Google Scholar 

  42. V.B. Berestetskii, E.M. Lifshitz, L.P. Pitaevskii, Quantum Electrodynamics (Pergamon, Oxford, 1982)

    Google Scholar 

  43. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover Publications, Mineola, 1974)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Basic Sciences, Faculty of Maritime, Mersin University, Mersin, Turkey

    Hasan Fatih Kisoglu

  2. Department of Physics, Faculty of Science and Letters, Mersin University, Mersin, Turkey

    Kenan Sogut

Authors
  1. Hasan Fatih Kisoglu
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  2. Kenan Sogut
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Correspondence to Hasan Fatih Kisoglu.

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Kisoglu, H.F., Sogut, K. Condition for a Bounded System of Klein–Gordon Particles in Electric and Magnetic Fields. Few-Body Syst 59, 67 (2018). https://doi.org/10.1007/s00601-018-1390-y

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  • DOI: https://doi.org/10.1007/s00601-018-1390-y

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