###
Steklov Institute of Mathematics at St.Petersburg

#
PREPRINT 01/2005

N.TSILEVICH
##
q-BOSON MODEL AND SYMMETRIC FUNCTIONS

This preprint was accepted February 1, 2005

ABSTRACT:
The purpose of this paper is to show that the quantum inverse
scattering method for the so-called q-boson hopping model has
a nice interpretation in terms of the algebra of symmetric
functions. In particular, in the special 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.

[Full text:
(.ps.gz)]

Back to all preprints

Back to the Steklov
Institute of Mathematics at St.Petersburg