Integrable systems with long-range interactions, W algebra, and energy spectrum

Kazuhiro Hikami, Miki Wadati

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)


Quantum integrable particle systems with inverse square interactions in one-dimensional space are investigated by use of the quantum inverse scattering method. For the case of particles with SU(ν) spins, a hidden symmetry is the SU(ν)U(1)U(ν) current algebra. The system has a higher symmetry, the W1+ algebra. This W algebra structure unifies the Calogero type (1x2 interactions) and the Sutherland type (1sin2x interactions). The energy spectra of the systems are obtained in a simple manner based on the fermion representation of the algebra.

Original languageEnglish
Pages (from-to)1191-1194
Number of pages4
JournalPhysical Review Letters
Issue number9
Publication statusPublished - Jan 1 1994
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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