This article is cited in 27 papers

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

A. D. Mironov, A. Yu. Morozov, L. Vinet


Abstract: We first review the properties of the conventional $\tau$-functions of the KP and Toda-lattice hierarchies. A straightforward generalization is then discussed. It corresponds to passing from differential to finite-difference equations; it does not involve however the concept of operator-valued $\tau$-function nor the one associated with non-Cartanian (level $k\ne 1$) algebras. The present study could be useful to understand better $q$-free fields and their relation to ordinary free fields.

 English version: Theoretical and Mathematical Physics, 1994, 100:1, 890–899

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