Steklov Institute of Mathematics at St.Petersburg

PREPRINT 01/2004

QUANTUM INVERSE SCATTERING METHOD, BOSONS, AND BOXED PLANE PARTITIONS

This preprint was accepted March 19, 2004

ABSTRACT:
It is shown that the quantum exactly solvable model of the boson type
is related to the problem of enumeration of the boxed plane partitions.
The scalar products of the state vectors and correlation 
functions of this model may be considered as the generating functions of
the random process. The analytical answers in determinantal form are obtained.