Mechanical systems with Poincare invariance

H W Braden, J G B Byatt-Smith

Research output: Contribution to journalArticlepeer-review

Abstract

Some years ago Ruijsenaars and Schneider initiated the study of mechanical systems exhibiting an action of the Poincare algebra. The systems they discovered were far richer: their models were actually integrable and possessed a natural quantum version. We follow this early work finding and classifying mechanical systems with such an action. New solutions are found together with a new class of models exhibiting an action of the Galilean algebra. These are related to the functional identities underlying the various Hirzebruch genera. The quantum mechanics is also discussed. (C) 2002 Elsevier Science B.V All rights reserved.

Original languageEnglish
Pages (from-to)208-216
Number of pages9
JournalPhysics letters a
Volume295
Issue number4
Publication statusPublished - 25 Mar 2002

Keywords

  • mechanics
  • integrability
  • functional equations
  • GENERAL ANALYTIC SOLUTION
  • STATE WAVE-FUNCTION
  • ADDITION TYPE
  • EQUATIONS
  • MODEL

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