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

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.

G P Malik¹ L K Pande¹

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

Published

October 1987

Manuscript received

3 June 1987

Manuscript revised

1 August 1987