Funktsional. Anal. i Prilozhen.,

English translation: Funct. Anal. Appl.,

**Abstract.**
The purpose of this paper is to show that the quantum inverse scattering
method for the so-called q-boson model has a nice interpretation
in terms of the algebra of symmetric functions. In particular, in
the case of the phase model (corresponding to q=0), the creation
operator is essentially the operator of multiplication by
the generating function of the complete homogeneous symmetric functions,
and the wave functions are expressed in terms of the Schur functions.
The general case of the q-boson model
is related in the same way to the Hall-Littlewood symmetric
functions.

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