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Exchange Operator Formalism for Integrable Systems of Particles

High Energy Physics - Theory 2009-10-22 v1

Abstract

We formulate one dimensional many-body integrable systems in terms of a new set of phase space variables involving exchange operators. The hamiltonian in these variables assumes a decoupled form. This greatly simplifies the derivation of the conserved charges and the proof of their commutativity at the quantum level.

Keywords

Cite

@article{arxiv.hep-th/9202057,
  title  = {Exchange Operator Formalism for Integrable Systems of Particles},
  author = {Alexios P. Polychronakos},
  journal= {arXiv preprint arXiv:hep-th/9202057},
  year   = {2009}
}

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8 pages