, Volume 29, Issue 4, pp 351–357 | Cite as

On the solutions of the Wick-Cutkosky model in the instantaneous approximation

  • G P Malik
  • L K Pande
Quantum Mechanics


By reexamining the analysis of Basu and Biswas, based on the stereographic projection method of Fock and Levy, it is shown that the general solution of the Wick-Cutkosky model in the instantaneous approximation, hitherto unreported, involves only one quantum number; this is contrasted with the well-known solution which involves two quantum numbers, but for which the spectrum is degenerate with respect to one of them. The latter situation is shown to hold under a rather special circumstance.


Bethe-Salpeter equation Wick-Cutkosky model stereographic projection Funk-Hecke theorem second order difference equation infinite continued fraction 




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Copyright information

© Indian Academy of Sciences 1987

Authors and Affiliations

  • G P Malik
    • 1
  • L K Pande
    • 1
  1. 1.School of Environmental SciencesJawaharlal Nehru UniversityNew DelhiIndia

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