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

来源：

Regular and Chaotic Dynamics | 2008年 / 13卷

关键词：

discrete systems; quantization; Painlevé equations; 34M55; 37K55; 81S99;

D O I：

暂无

中图分类号：

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.

引用

页码：417 / 423

页数：6

共 50 条

[21] Discrete Zγ: Embedded Circle Patterns with the Square Grid Combinatorics and Discrete Painlevé Equations
S. I. Agafonov
Theoretical and Mathematical Physics, 2003, 134 : 3 - 13
[22] Orthogonal polynomials: From Heun equations to Painlevé equations
Zhu, Mengkun
Chen, Yuting
Yu, Jianduo
Li, Chuanzhong
JOURNAL OF MATHEMATICAL PHYSICS, 2025, 66 (01)
[23] Imbedded Circle Patterns with the Combinatorics of the Square Grid and Discrete Painlevé Equations
Discrete & Computational Geometry, 2003, 29 : 305 - 319
[24] On the identity of two q-discrete Painlevé equations and their geometrical derivation
B Grammaticos
A Ramani
T Takenawa
Advances in Difference Equations, 2006
[25] On the recurrence coefficients for the q-Laguerre weight and discrete Painlevé equations
Hu, Jie
Dzhamay, Anton
Chen, Yang
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2025, 58 (02)
[26] Classical-Quantum Correspondence and Functional Relations for Painlev, Equations
Zabrodin, A.
Zotov, A.
CONSTRUCTIVE APPROXIMATION, 2015, 41 (03) : 385 - 423
[27] Classical-Quantum Correspondence and Functional Relations for Painlevé Equations
A. Zabrodin
A. Zotov
Constructive Approximation, 2015, 41 : 385 - 423
[28] From discrete to continuous Painleve equations: A bilinear approach
Ohta, Y
Ramani, A
Grammaticos, B
Tamizhmani, KM
PHYSICS LETTERS A, 1996, 216 (06) : 255 - 261
[29] From discrete to continuous Painleve equations: a bilinear approach
Phys Lett Sect A Gen At Solid State Phys, 6 (255):
[30] From discrete Painleve equations to mappings with periodic coefficients and back
Ramani, A.
Grammaticos, B.
Tamizhmani, K. M.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (48)

← 1 2 3 4 5 →