Skip to main content
Article thumbnail
Location of Repository

Symmetry, Integrability and Geometry: Methods and Applications Quantum Painlevé Equations: from Continuous to Discrete

By Hajime Nagoya, Basil Grammaticos and Alfred Ramani


Abstract. We examine quantum extensions of the continuous Painlevé equations, expressed as systems of first-order differential equations for non-commuting objects. We focus on the Painlevé equations II, IV and V. From their auto-Bäcklund transformations we derive the contiguity relations which we interpret as the quantum analogues of the discrete Painlevé equations. Key words: discrete systems; quantization; Painlevé equations 2000 Mathematics Subject Classification: 34M55; 37K55; 81S99

Year: 2011
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.