Dedication: I dedicate this paper to Prof. P.C. Baayen, at the occasion of his retirement on 20 December 1994. The beautiful equation which forms the subject matter of this paper was invented by Wouthuysen after he retired. The four complex variable Wouthuysen equation arises from an original space-time lattice approach to spinor waves and elementary particles. Here the complete space of solutions is described. It consists of one isolated point and one branched $S_4$-covering-space over the circle with 8 branching points of order 6, 24 branching points of order 4 and 12 ``turning points''. The 24 branching points of order 4 are also turning points for two of the four branches.

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Department of Analysis, Algebra and Geometry [AM]

Hazewinkel, M. (1995). The Wouthuysen equation. Department of Analysis, Algebra and Geometry [AM]. CWI.