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Advances in High Energy Physics
Volume 2019, Article ID 2729352, 7 pages
https://doi.org/10.1155/2019/2729352
Research Article

Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time

Departamento de Física, CFM, Universidade Federal de Santa Catarina, CP 476, 88.040-900 Florianópolis, SC, Brazil

Correspondence should be addressed to L. C. N. Santos; rb.csfu@sotnas.siul

Received 10 January 2019; Revised 2 March 2019; Accepted 10 April 2019; Published 13 May 2019

Academic Editor: Diego Saez-Chillon Gomez

Copyright © 2019 L. C. N. Santos 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. The publication of this article was funded by SCOAP3.

Linked References

  1. E. M. Wright, J. Arlt, and K. Dholakia, “Toroidal optical dipole traps for atomic Bose-Einstein condensates using Laguerre-Gaussian beams,” Physical Review A: Atomic, Molecular and Optical Physics, vol. 63, no. 1, 2000. View at Publisher · View at Google Scholar
  2. L. H. Ford, “Vacuum polarization in a nonsimply connected spacetime,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 21, no. 4, pp. 933–948, 1980. View at Publisher · View at Google Scholar · View at MathSciNet
  3. W. Jian-Hua, L. Kang, and D. Sayipjamal, “Klein-Gordon oscillators in noncommutative phase space,” Chinese Physics C, vol. 32, no. 10, p. 803, 2008. View at Google Scholar
  4. W.-C. Qiang, “Bound states of the Klein-Gordon and Dirac equations for potential V(r) = Ar−2-Br−1,” Chinese Physics, vol. 12, no. 10, pp. 1054–1057, 2003. View at Publisher · View at Google Scholar
  5. K. Bakke and C. Furtado, “On the Klein–Gordon oscillator subject to a Coulomb-type potential,” Annals of Physics, vol. 355, pp. 48–54, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. R. V. Maluf, “Noncommutative space corrections on the klein–gordon and dirac oscillators spectra,” International Journal of Modern Physics A, vol. 26, no. 29, pp. 4991–5003, 2011. View at Publisher · View at Google Scholar
  7. R. L. L. Vitória, C. Furtado, and K. Bakke, “On a relativistic particle and a relativistic position-dependent mass particle subject to the klein–gordon oscillator and the coulomb potential,” Annals of Physics, vol. 370, no. 128, pp. 128–136, 2016. View at Publisher · View at Google Scholar
  8. M.-L. Liang and R.-L. Yang, “Three-dimensional Klein-Gordon oscillator in a background magnetic field in noncommutative phase space,” International Journal of Modern Physics A, vol. 27, no. 10, 1250047, 12 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  9. N. A. Rao and B. Kagali, “Energy profile of the one-dimensional Klein–Gordon oscillator,” Physica Scripta, vol. 77, article no. 015003, 2007. View at Google Scholar
  10. B. P. Mandal and S. Verma, “Dirac oscillator in an external magnetic field,” Physics Letters A, vol. 374, no. 8, pp. 1021–1023, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  11. R. Martinez-Y-Romero, H. Nunez-Yepez, and A. Salas-Brito, “Relativistic quantum mechanics of a Dirac oscillator,” European Journal of Physics, vol. 16, no. 3, p. 135, 1995. View at Google Scholar
  12. M. H. Pacheco, R. R. Landim, and C. A. S. Almeida, “One-dimensional Dirac oscillator in a thermal bath,” Physics Letters A, vol. 311, no. 2-3, pp. 93–96, 2003. View at Publisher · View at Google Scholar · View at Scopus
  13. C. Quesne and M. Moshinsky, “Symmetry Lie algebra of the Dirac oscillator,” Journal of Physics A: Mathematical and General, vol. 23, no. 12, pp. 2263–2272, 1990. View at Publisher · View at Google Scholar · View at MathSciNet
  14. P. Rozmej and R. Arvieu, “The Dirac oscillator. A relativistic version of the Jaynes-Cummings model,” Journal of Physics A: Mathematical and General, vol. 32, no. 28, pp. 5367–5382, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  15. V. M. Villalba, “Exact solution of the two-dimensional Dirac oscillator,” Physical Review A: Atomic, Molecular and Optical Physics, vol. 49, no. 1, 586 pages, 1994. View at Publisher · View at Google Scholar · View at MathSciNet
  16. L. C. N. Santos and C. C. Barros, “Relativistic quantum motion of spin-0 particles under the influence of noninertial effects in the cosmic string spacetime,” The European Physical Journal C, vol. 78, p. 13, 2018. View at Publisher · View at Google Scholar
  17. S. Bruce and P. Minning, “The klein-gordon oscillator,” Il Nuovo Cimento A, vol. 106, no. 5, pp. 711–713, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  18. M. Moshinsky and A. Szczepaniak, “The Dirac oscillator,” Journal of Physics A: Mathematical and General, vol. 22, no. 17, pp. L817–L819, 1989. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. J. Carvalho, A. M. M. de Carvalho, E. Cavalcante, and C. Furtado, “Klein–Gordon oscillator in Kaluza–Klein theory,” The European Physical Journal C, vol. 76, p. 365, 2016. View at Publisher · View at Google Scholar
  20. L. B. Castro, “Noninertial effects on the quantum dynamics of scalar bosons,” The European Physical Journal C, vol. 76, p. 61, 2016. View at Publisher · View at Google Scholar
  21. L. B. Castro, “Quantum dynamics of scalar bosons in a cosmic string background,” European Physical Journal C, vol. 75, p. 287, 2015. View at Publisher · View at Google Scholar
  22. Y. Xiao, Z. Long, and S. Cai, “Klein-Gordon oscillator in noncommutative phase space under a uniform magnetic field,” International Journal of Theoretical Physics, vol. 50, no. 10, pp. 3105–3111, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  23. K. Bakke, “Relativistic bounds states for a neutral particle confined to a parabolic potential induced by noninertial effects,” Physics Letters A, vol. 374, no. 46, pp. 4642–4646, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  24. K. Bakke, “Confinement of a dirac particle to a hard-wall confining potential induced by noninertial effects,” Modern Physics Letters B, vol. 27, article no. 1350018, 2013. View at Publisher · View at Google Scholar
  25. M. N. Chernodub, “Rotating Casimir systems: magnetic-field-enhanced perpetual motion, possible realization in doped nanotubes, and laws of thermodynamics,” Physical Review D, vol. 87, article no. 025021, 2013. View at Publisher · View at Google Scholar
  26. L. C. Santos and J. Barros, “Rotational effects on the Casimir energy in the space-time with one extra compactified dimension,” International Journal of Modern Physics A, vol. 33, no. 20, 1850122, 13 pages, 2018. View at Publisher · View at Google Scholar · View at MathSciNet
  27. L. C. N. Santos and C. C. Barros, “Dirac equation and the melvin metric,” The European Physical Journal C, vol. 76, p. 560, 2016. View at Google Scholar
  28. L. C. N. Santos and C. C. Barros, “Scalar bosons under the influence of noninertial effects in the cosmic string spacetime,” The European Physical Journal C, vol. 77, article no. 186, 2017. View at Publisher · View at Google Scholar
  29. F. M. Andrade, C. Filgueiras, and E. O. Silva, “Scattering and bound states of a spin-1/2 neutral particle in the cosmic string spacetime,” Advances in High Energy Physics, vol. 2017, Article ID 8934691, 7 pages, 2017. View at Publisher · View at Google Scholar
  30. R. L. L. Vitória and K. Bakke, “Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation,” The European Physical Journal C, vol. 78, p. 175, 2018. View at Publisher · View at Google Scholar
  31. F. Ahmed, “The energy–momentum distributions and relativistic quantum effects on scalar and spin-half particles in a Gödel-type space–time,” The European Physical Journal C, vol. 78, p. 598, 2018. View at Publisher · View at Google Scholar
  32. R. L. L. Vitória and K. Bakke, “On the interaction of the scalar field with a Coulomb-type potential in a spacetime with a screw dislocation and the Aharonov-Bohm effect for bound states,” The European Physical Journal Plus, vol. 133, p. 490, 2018. View at Publisher · View at Google Scholar
  33. B.-Q. Wang, Z.-W. Long, C.-Y. Long, and S.-R. Wu, “The study of a half-spin relativistic particle in the rotating cosmic string space-time,” International Journal of Modern Physics A, vol. 33, no. 27, 1850158, 16 pages, 2018. View at Publisher · View at Google Scholar · View at MathSciNet
  34. J. Carvalho, A. M. de M. Carvalho, and C. Furtado, “Quantum influence of topological defects in Gödel-type space-times,” The European Physical Journal C, vol. 74, no. 6, 2014. View at Publisher · View at Google Scholar
  35. A. L. Cavalcanti de Oliveira and E. R. Bezerra de Mello, “Exact solutions of the Klein-Gordon equation in the presence of a dyon, magnetic flux and scalar potential in the spacetime of gravitational defects,” Classical and Quantum Gravity, vol. 23, no. 17, pp. 5249–5263, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  36. E. R. F. Medeiros and E. R. B. de Mello, “Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential,” The European Physical Journal C, vol. 72, p. 2051, 2012. View at Publisher · View at Google Scholar
  37. M. Hosseinpour, F. M. Andrade, E. O. Silva, and H. Hassanabadi, “Erratum to: Scattering and bound states for the Hulthén potential in a cosmic string background,” The European Physical Journal C, vol. 77, no. 270, 2017. View at Publisher · View at Google Scholar
  38. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions: with Formulas, Graphs, And Mathematical Tables, Applied Mathematics Series, Dover Publications, New York, NY, USA, 1964.
  39. K. Bakke and C. Furtado, “Geometric phase for a neutral particle in rotating frames in a cosmic string spacetime,” Physical Review D, vol. 80, article no. 024033, 2009. View at Google Scholar