Rigidity, functional equations and the Calogero-Moser model

Research output: Contribution to journalArticlepeer-review

Abstract

Suppose we have a natural Hamiltonian H of n particles on the line, centre-of-mass momentum P and a further independent quantity e, cubic in the momenta. If these are each S, invariant and mutually Poisson commute we have the Calogero-Moser system with potential V = 1/6 Sigma (i not equalj) p(q(i) - q(j)) + const.

Original languageEnglish
Pages (from-to)2197-2204
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number11
Publication statusPublished - 23 Mar 2001

Keywords

  • GENERAL ANALYTIC SOLUTION
  • STATE WAVE-FUNCTION
  • MANY-BODY PROBLEMS
  • DIFFERENTIAL-OPERATORS
  • LAX REPRESENTATION
  • INTEGRABLE SYSTEMS
  • ADDITION TYPE
  • LIE-ALGEBRAS
  • INVARIANT

Fingerprint

Dive into the research topics of 'Rigidity, functional equations and the Calogero-Moser model'. Together they form a unique fingerprint.

Cite this