International Journal of Theoretical Physics

, Volume 46, Issue 5, pp 1381–1388 | Cite as

Algebraic Approach to the Hulthen Potential

Article

Abstract

In this paper the energy eigenvalues and the corresponding eigenfunctions are calculated for Hulthen potential. Then we obtain the ladder operators and show that these operators satisfy SU(2) commutation relation.

Keywords

Hulthen potential ladder operators dynamical symmetry 

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References

  1. Arima, A. and Iachello, F. (1974). Annals of Physics 99, 253.CrossRefADSGoogle Scholar
  2. Cooper, I. L. (1993). Journal of Physics A: Mathematical and General 26, 1601.MATHCrossRefADSMathSciNetGoogle Scholar
  3. Dong, S. H. (2002a). Canadian Journal of Physics 80, 129.CrossRefADSGoogle Scholar
  4. Dong, S. H. (2002b). Zeitschrift fur Physikalische Chemie 216, 103.CrossRefGoogle Scholar
  5. Dong, S. H. (2003). Applied Mathematics Letters 16, 199.MATHCrossRefMathSciNetGoogle Scholar
  6. Dong, S. H. (2004). Computer and Mathematics with Application 47, 1037.Google Scholar
  7. Dong, S. and Dong, S. H. (2002a). Czechoslovak Journal of Physics 52, 753.CrossRefADSGoogle Scholar
  8. Dong, S. and Dong, S. H. (2002b). International Journal of Modern Physics E 11, 265.CrossRefADSGoogle Scholar
  9. Dong, S. H. and Lemus, R. (2002). International Journal of Quantum Chemistry 86, 265.CrossRefGoogle Scholar
  10. Dong, S. H. and Ma, Z. Q. (2002a). American Journal of Physics 70, 520.CrossRefMathSciNetGoogle Scholar
  11. Dong, S. H. and Ma, Z. Q. (2002b). International Journal of Modern Physics E 11, 155.CrossRefADSGoogle Scholar
  12. Dong, S. H., Lemus, R., and Frank, A. (2002). International Journal of Quantum Chemistry 86, 433.CrossRefGoogle Scholar
  13. Dong, S. H., Sun, G. H., and Tang, Y. (2003). International Journal of Modern Physics E 12, 809.CrossRefADSGoogle Scholar
  14. Eckart, C. (1930). Physical Review 35, 1303.CrossRefADSGoogle Scholar
  15. Flügge, S. (1999). Practical Quantum Mechanics, 2nd Printe, Springer, pp. 175–178.Google Scholar
  16. Hulthen, L. (1942a). Arkiv för Matematik, Astronomi och Fysik 28A, 5.Google Scholar
  17. Hulthen, L. (1942b). Arkiv för Matematik, Astronomi och Fysik 29B, 1.Google Scholar
  18. Iachello, F. and Ibrahim, M. (1998). Journal of Physical Chemistry A 102, 9427–9432.CrossRefGoogle Scholar
  19. Iachello, F. and Levine, R. D. (1995). Algebraic Theory of Molecules, Oxford University Press, New York [For a review of Lie algebraic methods in molecular spectroscopy].Google Scholar
  20. Iachello, F. and Oss, S. (1991). Physical Review Letters 66, 2976.CrossRefADSGoogle Scholar
  21. Iachello, F. and Oss, S. (1996). Journal of Chemical Physics 104, 6954.CrossRefADSGoogle Scholar
  22. Lebedev, N. N. (1972). Special Functions and Their Applications, Chapter 5 (Translated by Richard A. Silverman), Dover Publication, Inc., New York.MATHGoogle Scholar
  23. Perelomov, A. (1985). Generalized Coherent States and their Applications, New York, Springer.Google Scholar
  24. van Roosmalen, O. S., Benjamin, I., and Levine, R. D. (1984). Journal of Chemical Physics 81, 5986.CrossRefADSGoogle Scholar
  25. van Roosmalen, O. S., Dieperink, A. E., and Iachello, F. (1982). Chemical Physics Letters 85, 52.Google Scholar
  26. van Roosmalen, O. S., Iachello, F., Levine, R. D., and Dieperink, A. E. (1983). Journal of Chemical Physics 79, 2515.CrossRefADSMathSciNetGoogle Scholar
  27. Varshni, Y. P. (1990). Physical Review A 41, 4682.CrossRefADSMathSciNetGoogle Scholar
  28. Wybourne, R. G. (1974). Classical Groups for Physicists, New York, Wiley.MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  1. 1.Department of SciencePayame Noor UniversityBijarIran
  2. 2.Department of SciencePayame Noor UniversitySaqezIran
  3. 3.Department of ScienceUniversity of KurdistanSanandajIran

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