This article is cited in 11 papers

Classical and quantum integrability

Mauricio D. Garay^a, Duco van Straten<sup>b

a</sup> Max Planck Institut für Mathematik, Bonn, Germany
^b Fachbereich 8, Institut für Mathematik, Johannes Gutenberg – Universität, Mainz, Germany

Abstract: It is a well-known problem to decide if a classical hamiltonian system that is integrable, in the Liouville sense, can be quantised to a quantum integrable system. We identify the obstructions to do so, and show that the obstructions vanish under certain conditions.

Key words and phrases: micro-local analysis, non-commutative geometry.

MSC: 81S10

Received: October 2, 2008

Language: English

DOI: 10.17323/1609-4514-2010-10-3-519-545

Bibliographic databases:

• 
•