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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 1, Pages 119–131
(Mi tmf1634)
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This article is cited in 27 scientific papers (total 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.
Citation:
A. D. Mironov, A. Yu. Morozov, L. Vinet, “On a $c$-number quantum $\tau $-function”, TMF, 100:1 (1994), 119–131; Theoret. and Math. Phys., 100:1 (1994), 890–899
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https://www.mathnet.ru/eng/tmf1634 https://www.mathnet.ru/eng/tmf/v100/i1/p119
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Abstract page: | 379 | Full-text PDF : | 121 | References: | 43 | First page: | 3 |
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