The quantum volterra model and the lattice sine-Gordon system. - Construction of the Baxter Q operator and the integrals of motion

Kazuhiro Hikami; Rei Inoue

doi:10.1143/JPSJ.68.380

The quantum volterra model and the lattice sine-Gordon system. - Construction of the Baxter Q operator and the integrals of motion

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Abstract

We investigate the integrable structure of the quantum Volterra model, which is a discretization of the Korteweg-de Vries equation. Based on Sklyanin's method we derive the Baxter equation, and then clarify a role of the "fundamental transfer matrix". We show that the fundamental transfer matrix also generates the integrals of motion for a lattice analogue of the sine-Gordon system.

Original language	English
Pages (from-to)	380-385
Number of pages	6
Journal	journal of the physical society of japan
Volume	68
Issue number	2
DOIs	https://doi.org/10.1143/JPSJ.68.380
Publication status	Published - Jan 1 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1143/JPSJ.68.380

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The quantum volterra model and the lattice sine-Gordon system. - Construction of the Baxter Q operator and the integrals of motion

Abstract

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