• Title of article

    BiHamiltonian quantum systems and Weyl quantization

  • Author/Authors

    Marmo، نويسنده , , G. and Simoni، نويسنده , , A. and Ventriglia، نويسنده , , F.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    9
  • From page
    149
  • To page
    157
  • Abstract
    By using Weyl systems associated with symplectic vector spaces, we show an association between biHamiltonian classical systems and corresponding quantum systems. The correspondence is carried on the example of the harmonic oscillator. We also use the Jordan—Schwinger map to construct alternative realizations of classical Lie algebras.
  • Keywords
    creation and annihilation operators , Heisenberg—Weyl algebra , Symplectic structures , Weyl systems
  • Journal title
    Reports on Mathematical Physics
  • Serial Year
    2001
  • Journal title
    Reports on Mathematical Physics
  • Record number

    1584727

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1584727