On a c-number quantum $\tau$-function

Abstract

Review of the properties of conventional $\tau$-functions of KP and Toda lattice hierarchies. Straightforward generalization is discussed, associated with transition from differential to finite-difference equations, but involving neither the concept of operator-valued $\tau$-function, nor the one, associated with non-cartanian (level $k\neq 1$) algebras. The study of such intermediate objects can be also useful for better uderstanding of the concept of q-free fields and their relation to the ordinary free fields

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oai:cds.cern.ch:257281Last time updated on 10/30/2014

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