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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)380-385
Number of pages6
Journaljournal of the physical society of japan
Volume68
Issue number2
DOIs
Publication statusPublished - Jan 1 1999
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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