The Bethe-Salpeter equation for higher wave bound states of two scalar particles is investigated in the ladder approximation. It is shown that all solutions have the Deser-Gilbert-Sudarshan-Ida integral representation and that they behave like o[(p²)^-l-2] as p²→∞ apart from a solid harmonic. The angular momentum l is continued to complex values, and it is proved that the wave functions are essentially holomorphic with respect to l in Rel>-1/4. The equation for the Regge trajectories is also discussed.
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Noboru Nakanishi (1963) studied this question.
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