Integrable spin- 1 2 particle systems with long-range interactions

Kazuhiro Hikami, Miki Wadati

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

Spin- 1 2 particle systems with long-range interactions are considered in one-dimensional space. Conditions for the integrability of the systems are shown through the quantum inverse scattering method. Among the solutions, integrable spin particle systems, which we call the XXZ-type model and the Ising-type model, are newly found. A set of conserved operators is obtained from the Lax operator. Further, the ground state is shown to be the solution of a Knizhnik-Zamolodchikov-like equation.

Original languageEnglish
Pages (from-to)263-266
Number of pages4
JournalPhysics Letters A
Volume173
Issue number3
DOIs
Publication statusPublished - Feb 8 1993
Externally publishedYes

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operators
particle spin
inverse scattering
interactions
ground state

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Integrable spin- 1 2 particle systems with long-range interactions. / Hikami, Kazuhiro; Wadati, Miki.

In: Physics Letters A, Vol. 173, No. 3, 08.02.1993, p. 263-266.

Research output: Contribution to journalArticle

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