The commutativity of quantized first- and higher-order Hamiltonians

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Abstract

The key point of the Hamiltonian formalism of Toda molecules is the commutativity of the Hamiltonians (tr yk, tr yl)=0, where y in GL(n) and (,) is a Poisson bracket associated with the classical r-matrix. To quantize the Toda molecule, we have to consider the q-analogue of the above formula. In this paper, we show the commutativity of the quantized first- and higher-order Hamiltonians (trq Xm, trq X)=0, where X is a matrix of quantum group GLq(n).

Original languageEnglish
Article number028
Pages (from-to)5969-5977
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume27
Issue number17
DOIs
Publication statusPublished - 1994 Dec 1

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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