DERIVATION OF THE COORDINATE SYSTEM THAT SEPARATES THE BETHE-SALPETER-EQUATION FOR THE WICK-CUTKOSKY MODEL

Differential equations for an orthogonal transformation that separates the Bethe-Salpeter equation for the Wick-Cutkosky model will be derived and then solved. Although the transformation in which the Wick-Cutkosky model separates is already known, the systematic procedure presented for deriving the transformation may be useful for determining orthogonal transformations that would permit the separation of other Bethe-Salpeter equations.