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Exact analytical versus numerical solutions of Schrödinger equation for Hua plus modified Eckart potential

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Abstract

In this paper, s-wave Schrödinger equation with Hua plus modified Eckart potential is investigated. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner and compared with results obtained from finite difference method. Some special cases of this potential are also studied.

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References

  1. S H Dong Int. J. Theor. Phys. 39 1529 (2000)

    Google Scholar 

  2. X Y Gu and S H Dong J. Math. Chem. 49 2053 (2011)

  3. S H Dong Int. J. Theor. Phys. 41 1991 (2002)

  4. H Hassanabadi, B H Yazarloo and L L Lu Chin. Phys. Lett. 29 020303 (2012)

    Google Scholar 

  5. B H Yazarloo, H Hassanabadi and S Zarrinkamar Eur. Phys. J. Plus 127 51 (2012)

  6. L I Schiff Quantum Mechanics (New York: McGraw-Hill) 3rd Ed. (1955)

  7. L D Landau and E M Lifshitz Quantum Mechanics-Non-Relativistic Theory (Oxford: Pergamon) (1977)

  8. S H Dong Factorization Method in Quantum Mechanics (Netherlands: Springer) (2007)

    MATH  Google Scholar 

  9. A D Antia, A N Ikot, I O Akpan and O A Awoga Indian J. Phys. 87 155 (2013)

  10. G F Wei and S H Dong Canadian J. Phys. 89 1225 (2011)

  11. S H Dong and G H Sun Phys. Lett. A 314 261 (2003)

  12. H Hassanabadi, B H Yazarloo, S Zarrinkamar and H Rahimov Commun. Theor. Phys. 57 339 (2012)

    Google Scholar 

  13. W Hua Phys. Rev. A 42 2524 (1990)

  14. G H Sun and S H Dong Commun. Theor. Phys. 58 195 (2012)

    Google Scholar 

  15. C Eckart Phys. Rev. 35 1303 (1930)

  16. F Cooper, A Kahare and U Sukhatme Phys. Rept. 251 267 (1995)

    Google Scholar 

  17. J J Weiss J. Chem. Phys. 41 1120 (1964)

    Google Scholar 

  18. M Hamzavi, H Hassanabadi and A A Rajabi Int. J. Theor. Phys. 50 454 (2011)

    Google Scholar 

  19. P M Mörse Phys. Rev. 34 57 (1929)

  20. S Sheppard and M V K Chari Numerical Methods in Electromagnetism (United Kingdom: Oxford) (1999)

  21. J D Cooper, A Valavanis, Z Ikonic, P Harrison and J E Cunningham J. Appl. Phys. 108 113109 (2010)

    Google Scholar 

  22. I H Tan, G L Snider, L D Chang and E L Hu J. Appl. Phys. 68 4071 (1990)

  23. F Y Hajj J. Phys. B: At. Mol. Phys. 18 1 (1985)

    Google Scholar 

  24. F Qu and P C Morais J. Chem. Phys. 111 8588 (1999)

  25. P A Khomyakov and G Brocks Phys. Rev. B 70 195402 (2004)

  26. G F Wei, S H Dong and V B. Bezerra Int. J. Mod. Phys. A 24 161 (2009)

  27. S H Dong, W C Qiang, G H Sun and V B Bezerra J. Phys. A. 40 10535 (2007)

    Google Scholar 

  28. G F Wei, C Y Long, X Y Duan and S H Dong Phys. Scripta 77 035001 (2008)

  29. W C Qiang, J Y Wu and S H Dong Phys. Scripta 79 065011 (2009)

  30. F Taskin and G Kocak Chin. Phys. B 19 090314 (2010)

  31. H Hassanabadi and B H Yazarloo Indian J. Phys. doi: 10.1007/s12648-013-0317-1 (2013)

  32. A R Vahidi, Z Azimzadeh and M Didgar Indian J. Phys. 87 447 (2013)

    Article  ADS  Google Scholar 

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Hassanabadi, H., Yazarloo, B.H., Ikot, A.N. et al. Exact analytical versus numerical solutions of Schrödinger equation for Hua plus modified Eckart potential. Indian J Phys 87, 1219–1223 (2013). https://doi.org/10.1007/s12648-013-0368-3

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  • DOI: https://doi.org/10.1007/s12648-013-0368-3

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