  In this paper we outline the construction of semiclassical eigenfunctions of
integrable models in terms of the semiclassical path integral for the Poisson
sigma model with the target space being the phase space of the integrable
system. The semiclassical path integral is defined as a formal power series
with coefficients being Feynman diagrams. We also argue that in a similar way
one can obtain irreducible semiclassical representations of Kontsevich's star
product.
