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Regular and Chaotic Dynamics, 2008, Volume 13, Issue 5, Pages 417–423
DOI: https://doi.org/10.1134/S1560354708050031 (Mi rcd591) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Nonholonomic mechanics

Quantum Painlevé Equations: from Continuous to Discrete and Back

H. Nagoyaa, B. Grammaticosb, A. Ramanic

a Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914 Tokyo, Japan
b IMNC, Université Paris VII & XI, CNRS, UMR 8165, Bât. 104, 91406 Orsay, France
c Centre de Physique Théorique, Ecole Polytechnique, CNRS, 91128 Palaiseau, France
Citations (4)
DOI: https://doi.org/10.1134/S1560354708050031
Abstract: We present a cascade of quantum Painlevé equations consisting in successive contiguity relations, whereupon starting form a continuous equations we obtain a discrete one, and continuous limits of the latter. We start from the quantum Painlevé V and in the process derive the quantum form of continuous PIII which was missing in previous studies.
Keywords: discrete systems, quantization, Painlev$\acute{e}$ equations.
Received: 02.05.2008
Accepted: 10.07.2008
Bibliographic databases:
Document Type: Personalia
MSC: 34M55, 37K55, 81S99
Language: English
Citation: H. Nagoya, B. Grammaticos, A. Ramani, “Quantum Painlevé Equations: from Continuous to Discrete and Back”, Regul. Chaotic Dyn., 13:5 (2008), 417–423
Citation in format AMSBIB
\Bibitem{NagGraRam08}
\by H.~Nagoya, B.~Grammaticos, A.~Ramani
\paper Quantum Painlevé Equations: from Continuous to Discrete and Back
\jour Regul. Chaotic Dyn.
\yr 2008
\vol 13
\issue 5
\pages 417--423
\mathnet{http://mi.mathnet.ru/rcd591}
\crossref{https://doi.org/10.1134/S1560354708050031}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2448339}
\zmath{https://zbmath.org/?q=an:1229.34133}
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    • This publication is cited in the following 4 articles:
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