Linear r-matrix algebra for systems separable in parabolic coordinates

J. C. Eilbeck, V. Z. Enol'skii, V. B. Kuznetsov, D. V. Leykin

Research output: Contribution to journalArticle

Abstract

We consider a hierarchy of many particle systems on the line with polynomial potentials separable in parabolic coordinates. Using the Lax representation, written in terms of 2×2 matrices for the whole hierarchy, we construct the associated linear r-matrix algebra with the r-matrix dependent on the dynamical variables. A dynamical Yang-Baxter equation is discussed. © 1993.

Original languageEnglish
Pages (from-to)208-214
Number of pages7
JournalPhysics Letters A
Volume180
Issue number3
Publication statusPublished - 6 Sep 1993

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    Eilbeck, J. C., Enol'skii, V. Z., Kuznetsov, V. B., & Leykin, D. V. (1993). Linear r-matrix algebra for systems separable in parabolic coordinates. Physics Letters A, 180(3), 208-214.