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Moscow Mathematical Journal, 2010, Volume 10, Number 3, Pages 519–545
DOI: https://doi.org/10.17323/1609-4514-2010-10-3-519-545 (Mi mmj391) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Classical and quantum integrability

Mauricio D. Garaya, Duco van Stratenb

a Max Planck Institut für Mathematik, Bonn, Germany
b Fachbereich 8, Institut für Mathematik, Johannes Gutenberg – Universität, Mainz, Germany
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DOI: https://doi.org/10.17323/1609-4514-2010-10-3-519-545
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.
Received: October 2, 2008
Bibliographic databases:
Document Type: Article
MSC: 81S10
Language: English
Citation: Mauricio D. Garay, Duco van Straten, “Classical and quantum integrability”, Mosc. Math. J., 10:3 (2010), 519–545
Citation in format AMSBIB
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\by Mauricio~D.~Garay, Duco~van Straten
\paper Classical and quantum integrability
\jour Mosc. Math.~J.
\yr 2010
\vol 10
\issue 3
\pages 519--545
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2732572}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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