On the functional equation related to the quantum three-body problem
V. M. Buchstaber, A. M. Perelomov
Abstract
In the present paper we give the general solution of the functional equation (f(x)+g(y)+h(z))2 = F(x)+G(y)+H(z), x+y+z=0 which is related to the exact factorized ground-state wave function for the quantum one-dimensional problem of three different particles with pairwise interaction.
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