DOI

Outer automorphisms of infinite-dimensional representations of the Lie algebra sl(2) are used to construct Lax matrices for integrable Hamiltonian systems and discrete integrable mappings. The known results are reproduced, and new integrable systems are constructed. Classical r-matrices corresponding to the Lax representation with the spectral parameter are dynamic. This scheme is advantageous because quantum systems naturally arise in the framework of the classical r-matrix Lax representation and the corresponding quantum mechanical problem admits a variable separation.

Язык оригиналаанглийский
Страницы (с-по)164-172
Число страниц9
ЖурналTheoretical and Mathematical Physics
Том118
Номер выпуска2
DOI
СостояниеОпубликовано - 1 янв 1999

    Предметные области Scopus

  • Статистическая и нелинейная физика
  • Математическая физика

ID: 36285094