Quantum integrable Toda like systems
Abstract
Using deformation quantization and suitable 2 by 2 quantum $R$matrices we show that a list of Toda like classical integrable systems given by Y.B.Suris is quantum integrable in the sense that the classical conserved quantities (which are already in involution with respect to the Poisson bracket) commute with respect to the standard starproduct of Weyl type in flat $2n$dimensional space.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 1998
 DOI:
 10.48550/arXiv.math/9810086
 arXiv:
 arXiv:math/9810086
 Bibcode:
 1998math.....10086B
 Keywords:

 Quantum Algebra
 EPrint:
 9 pages, LaTeX2e