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.
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References
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Malik, G.P., Pande, L.K. On the solutions of the Wick-Cutkosky model in the instantaneous approximation. Pramana - J Phys 29, 351–357 (1987). https://doi.org/10.1007/BF02845772
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DOI: https://doi.org/10.1007/BF02845772
Keywords
- Bethe-Salpeter equation
- Wick-Cutkosky model
- stereographic projection
- Funk-Hecke theorem
- second order difference equation
- infinite continued fraction