Bihamiltonian quantum systems and Weyl quantization

Authors
Marmo, G Simoni, A Ventriglia, F
Citation
G. Marmo et al., Bihamiltonian quantum systems and Weyl quantization, REP MATH PH, 48(1-2), 2001, pp. 149-157
Citations number
14
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
48
Issue
1-2
Year of publication
2001
Pages
149 - 157
Database
ISI
SICI code
0034-4877(200108/10)48:1-2<149:BQSAWQ>2.0.ZU;2-H
Abstract
By using Weyl systems associated with symplectic vector spaces, we show an association between biHamiltonian classical systems and corresponding quant um systems. The correspondence is carried on the example of the harmonic os cillator. We also use the Jordan-Schwinger map to construct alternative rea lizations of classical Lie algebras.