On the functional equation related to the quantum three-body problem

Details On the functional equation related to the quantum three-body problem On the functional equation related to the quantum three-body problem

2002-05-22

arxiv.org/abs/math-ph/0205032v1

Berezin Memorial Volume, Amer. Math. Soc. Transl. (2) Vol. 175, 15-34 (1996)

Physics

Mathematical Physics

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Scientific paper

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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