International Journal of Theoretical Physics

, Volume 34, Issue 9, pp 1931–1937 | Cite as

Exact solutions for radial SchrÖdinger equations

  • G. Vanden Berghe
  • H. De Meyer
  • M. Van Daele
Article

Abstract

An infinite set of exact solutions for the three-dimensional Schrödinger equation with the interactionsar 2+br4+cr6 andr 2+λr2/(1+gr 2) is presented. The conditions under which these solutions can occur are given. Some previously published errors are corrected.

Keywords

Exact Solution Recurrence Relation Physical Review Czechoslovak Journal SchrOdinger Equation 

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References

  1. Amin, D. (1976).Physics Today,35, 35.Google Scholar
  2. Amin, D. (1982).Physical Review Letters,36, 323.CrossRefGoogle Scholar
  3. Bose, S. K., and Varma, N. (1990).Physics Letters,147A, 85.MathSciNetADSGoogle Scholar
  4. Coleman, S. (1988).Aspects of Symmetry, Cambridge University Press, Cambridge, p. 234.MATHGoogle Scholar
  5. Flessas, G. P. (1981).Physics Letters,83A, 121.MathSciNetADSGoogle Scholar
  6. Flessas, G. P. (1982).Journal of Physics A: Mathematical and General,15, L97.MATHMathSciNetCrossRefADSGoogle Scholar
  7. Flessas, G. P., and Das, K. P. (1980).Physics Letters,78A, 19.MathSciNetADSGoogle Scholar
  8. Haken, H. (1965).Encyclopedia of Physics, Vol. 25, 2C Van Nostrand, Princeton, New Jersey.Google Scholar
  9. Hislop, D., Wolfaardt, M. F., and Leach, P. G. (1990).Journal of Physics A: Mathematical and General,23, L1109.MATHMathSciNetCrossRefADSGoogle Scholar
  10. Kaushal, R. S. (1989).Physics Letters,142A, 57.MathSciNetADSGoogle Scholar
  11. Khare, A., and Behra, S. N. (1980).Pramana Journal of Physics,14, 327.CrossRefADSGoogle Scholar
  12. Lai, C., and Lin, H. (1982).Journal of Physics A: Mathematical and General,15, 1495.MATHMathSciNetCrossRefADSGoogle Scholar
  13. Parui, B. K., Mazumbar, P. S., and Chowdhury, S. K. (1994).International journal of Theoretical Physics,33, 613.MATHMathSciNetCrossRefADSGoogle Scholar
  14. Roy, B., Roychoudhury, R., and Roy, P. (1988).Journal of Physics A: Mathematical and General,21, 1579.MATHCrossRefADSGoogle Scholar
  15. Salam, A., and Strathdee, J. (1976).Physical Review D,1, 3296.CrossRefADSGoogle Scholar
  16. Singh, C. A., Singh, S. B., and Singh, K. D. (1990).Physics Letters,148A, 389.ADSGoogle Scholar
  17. Varma, V. (1981).Journal of Physics A: Mathematical and General,14, L489.MATHMathSciNetCrossRefADSGoogle Scholar
  18. Whitehead, R., Watt, A., Flessas, G., and Nagarajan, N. (1982).Journal of Physics A: Mathematical and General,15, 1217.MATHMathSciNetCrossRefADSGoogle Scholar
  19. Znojil, M. (1991a).Czechoslovak Journal of Physics,41, 397.MATHMathSciNetCrossRefADSGoogle Scholar
  20. Znojil, M. (1991b).Czechoslovak Journal of Physics,41, 497.MATHMathSciNetCrossRefADSGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • G. Vanden Berghe
    • 1
  • H. De Meyer
    • 1
    • 2
  • M. Van Daele
    • 1
  1. 1.Vakgroep Toegepaste Wiskunde en InformaticaUniversiteit-GentGentBelgium
  2. 2.Research Director at the National Fund for Scientific Research N.F.W.O.Belgium

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