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

      G P Malik L K Pande

      Quantum Mechanics Volume 29 Issue 4 October 1987 pp 351-357

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/029/04/0351-0357

    • Keywords

       

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

    • Abstract

       

      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.

    • Author Affiliations

       

      G P Malik1 L K Pande1

      1. School of Environmental Sciences, Jawaharlal Nehru University, New Delhi - 110 067, India

    • Dates

       
      Published
      October 1987
      Manuscript received
      3 June 1987
      Manuscript revised
      1 August 1987

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