Quantum Painlevé equations: from continuous to discrete and back

被引:0
|
作者
H. Nagoya
B. Grammaticos
A. Ramani
机构
[1] The University of Tokyo,Graduate School of Mathematical Sciences
[2] Université Paris VII & XI,IMNC
[3] CNRS,Centre de Physique Théorique, Ecole Polytechnique
[4] CNRS,undefined
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关键词
discrete systems; quantization; Painlevé equations; 34M55; 37K55; 81S99;
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学科分类号
摘要
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.
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页码:417 / 423
页数:6
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