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Klein-Gordon equation particles in exponential-type molecule potentials and their thermodynamic properties in D dimensions

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Abstract.

In this paper we use the Nikiforov-Uvarov method to obtain the approximate solutions for the Klein-Gordon equation with the deformed five-parameter exponential-type potential (DFPEP) model. We also obtain solutions for the Schrödinger equation in the presence of DFPEP in non-relativistic limits. In addition, we calculate in the non-relativistic limits thermodynamics properties, such as vibrational mean energy U, free energy F and the specific heat capacity C. Special cases of the potential are also discussed.

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References

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

  2. Z.Q. Ma, A. Gonzalez-Cisneros, B.W. Xu, S.H. Dong, Phys. Lett. A 371, 180 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  3. H. Ciftci, R.L. Hall, N. Saad, J. Phys. A: Math. Gen. 38, 1147 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  4. F. Cooper, A. Khare, U. Sukhatme, Phys. Rep. 251, 267 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  5. W.C. Qiang, S.H. Dong, Phys. Lett. A 372, 4789 (2008)

    Article  ADS  Google Scholar 

  6. S.H. Dong, S.H. Dong, H. Bahlouli, V.B. Bezerra, Int. J. Mod. Phys. E 20, 55 (2011)

    Article  ADS  Google Scholar 

  7. C.N. Isonguyo, I.B. Ituen, A.N. Ikot, H. Hassanabadi, Bull. Korean Chem. Soc. 35, 3443 (2014)

    Article  Google Scholar 

  8. A.N. Ikot, B.I. Ita, O.A. Awoga, Few Body Syst. 53, 539 (2012)

    Article  ADS  Google Scholar 

  9. A.D. Antia, A.N. Ikot, H. Hassanabadi, E. Maghsoodi, Ind. J. Phys. 87, 1133 (2013)

    Article  Google Scholar 

  10. C.S. Jia, G.C. Liang, X.L. Peng, H.M. Tang, L.H. Zhang, Few-Body Syst. 55, 1159 (2014)

    Article  Google Scholar 

  11. Y.J. Xiao, Z.W. Long, Commun. Theor. Phys. 53, 54 (2010)

    Article  ADS  Google Scholar 

  12. S.H. Dong, Factorization Method in Quantum Mechanics (Springer, Netheland, 2007)

  13. S. Flugge, Practical Quantum Mechanics (Springer, Berlin, 1974)

  14. L.D. Landau, E.M. Lifshitz, Quantum Mechnaics, Non-Relativistic Theory (Pergamon, New York, 1977)

  15. A.N. Ikot, H.P. Obong, T.M. Abbey, S. Zare, M. Ghafourian, H. Hassanabadi, Few Body Syst. 57, 807 (2016)

    Article  ADS  Google Scholar 

  16. A.N. Ikot, E. Maghsoodi, E. Ibanga, I. Ituen, H. Hassanabadi, Proc. Natl. Acad. Sci. India, Sect. A Phys. Sci. 86, 433 (2016)

    Article  MathSciNet  Google Scholar 

  17. C.S. Jia, J.W. Dai, L.H. Zhang, J.Y. Liu, X.L. Peng, Phys. Lett. A 379, 137 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  18. R.L. Greene, C. Aldrich, Phys. Rev. A 14, 2363 (1976)

    Article  ADS  Google Scholar 

  19. C.S. Jia, T. Chen, L.G. Cui, Phys. Lett. A 373, 1621 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  20. O. Aydogdua, E. Maghsoodi, H. Hassanabadi, Chin. Phys. B 22, 010302 (2013)

    Article  Google Scholar 

  21. C.S. Jia, T. Chen, S. He, Phys. Lett. A 377, 682 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  22. A.N. Ikot, H.P. Obong, H. Hassanabadi, Few Body Syst. 56, 185 (2015)

    Article  ADS  Google Scholar 

  23. A.N. Ikot, E.J. Ibanga, H. Hassanabadi, Int. J. Quantum Chem. 116, 81 (2016)

    Article  Google Scholar 

  24. Z.W. Shei, C.S. Jia, Eur. Phys. J. Plus 131, 215 (2016)

    Article  Google Scholar 

  25. A.N. Ikot, B.H. Yazarloo, S. Zarrinkamar, H. Hassanabadi, Eur. Phys. J. Plus 129, 79 (2014)

    Article  Google Scholar 

  26. T.T. Ibrahim, K.J. Oyewumi, S.M. Wyngaardt, Eur. Phys. J. Plus 127, 100 (2012)

    Article  Google Scholar 

  27. S.H. Dong, Wave Equation in Higher Dimensions (Springer, Berlin, 2011)

  28. S.H. Dong, J. Phys. A: Math. Gen. 36, 4977 (2003)

    Article  ADS  Google Scholar 

  29. C.S. Jia, L.H. Zhang, J.Y. Liu, Eur. Phys. J. Plus 131, 2 (2016)

    Article  Google Scholar 

  30. A.N. Ikot, H. Hassanabadi, H.P. Obong, N. Salehi, O.S. Thomas, Ind. J. Phys. 89, 649 (2015)

    Article  Google Scholar 

  31. C.S. Jia, Y. Zhang, X.L. Zeng, L.T. Sun, Commun. Theor. Phys. 36, 641 (2001)

    Article  MathSciNet  Google Scholar 

  32. J.N. Ginocchio, Phys. Rev. C 69, 034318 (2004)

    Article  ADS  Google Scholar 

  33. J.N. Ginocchio, Phys. Rep. 414, 165 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  34. J. Polschinski, String Theory (Cambridge University Press, Cambridge, UK, 1998)

  35. R. Emparan, H.S. Reall, Living Rev. Relativ. 11, 6 (2008)

    Article  ADS  Google Scholar 

  36. J.Y. Liu, G.-D. Zhang, C.S. Jia, Phys. Lett. A 377, 1444 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  37. S.H. Dong, Commun. Theor. Phys. 55, 969 (2011)

    Article  ADS  Google Scholar 

  38. C.S. Jia, J.Y. Liu, P.Q. Wang, Phys. Lett. A 372, 4779 (2008)

    Article  ADS  Google Scholar 

  39. C. Tezcan, R. Sever, Int. J. Theor. Phys. 48, 337 (2009)

    Article  MathSciNet  Google Scholar 

  40. K.J. Oyewumi, B.J. Falaye, C.A. Onate, O.J. Oluwadare, W.A. Yahya, Mol. Phys. 112, 127 (2014)

    Article  ADS  Google Scholar 

  41. S.H. Dong, M. Lozada-Cassou, J. Yu, F.J. Angeles, A.L. Rivera, Int. J. Quantum Chem. 107, 366 (2007)

    Article  ADS  Google Scholar 

  42. S.M. Ikhdair, B.J. Falaye, Chem. Phys. 421, 84 (2013)

    Article  ADS  Google Scholar 

  43. S.H. Dong, M. Cruz-Irisson, J. Math. Chem. 50, 881 (2012)

    Article  MathSciNet  Google Scholar 

  44. A. Suparmi, C. Cari, B.N. Pratiwi, J. Phys.: Conf. Ser. 710, 012026 (2016)

    ADS  Google Scholar 

  45. J.J. Pena, J. Garcia-Martinez, J. Garcia-Ravelo, J. Morales, Int. J. Quantum Chem. 115, 158 (2015)

    Article  Google Scholar 

  46. J. Garcia-Martinez, J. Garcia-Ravelo, J. Morales, J.J. Pena, Int. J. Quantum Chem. 112, 195 (2012)

    Article  Google Scholar 

  47. C.S. Jia, X.G. Wang, Q.B. Yang, S. He, H. Li, Commun. Theor. Phys. 30, 305 (1998)

    Article  Google Scholar 

  48. C.Y. Chen, F.L. Lu, D.S. Sun, Acta Phys. Sin. 56, 0204 (2007)

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, P.M.B 5323, Port Harcourt, Nigeria

    A. N. Ikot, M. I. Ngwueke & M. E. Udoh

  2. Department of Physics, Akdentz University, 07058, Antalya, Turkey

    B. C. Lutfuoglu

  3. Department of Basic Sciences, Islamic Azad University, North Tehran Branch, Tehran, Iran

    S. Zare

  4. Department of Physics, Shahrood University of technology, Shahrood, Iran

    H. Hassanabadi

Authors
  1. A. N. Ikot
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  2. B. C. Lutfuoglu
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  3. M. I. Ngwueke
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  4. M. E. Udoh
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  5. S. Zare
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  6. H. Hassanabadi
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Correspondence to A. N. Ikot.

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Ikot, A.N., Lutfuoglu, B.C., Ngwueke, M.I. et al. Klein-Gordon equation particles in exponential-type molecule potentials and their thermodynamic properties in D dimensions. Eur. Phys. J. Plus 131, 419 (2016). https://doi.org/10.1140/epjp/i2016-16419-5

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  • DOI: https://doi.org/10.1140/epjp/i2016-16419-5

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