The commutativity of quantized first- and higher-order Hamiltonians

研究成果: Article

抜粋

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).

元の言語English
記事番号028
ページ(範囲)5969-5977
ページ数9
ジャーナルJournal of Physics A: Mathematical and General
27
発行部数17
DOI
出版物ステータスPublished - 1994 12 1
外部発表Yes

ASJC Scopus subject areas

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

フィンガープリント The commutativity of quantized first- and higher-order Hamiltonians' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用