Quantizing the Discrete Painlev, VI Equation: The Lax Formalism

被引：2

作者：

Hasegawa, Koji ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2013年 / 103卷 / 08期

关键词：

Weyl groups; discrete Painleve equations; quantum integrable systems; QUANTUM DILOGARITHM; TRANSFORMATIONS; SYSTEMS; MODELS;

D O I：

10.1007/s11005-013-0620-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A discretization of Painlev, VI equation was obtained by Jimbo and Sakai (Lett Math Phys 38:145-154, 1996). There are two ways to quantize it: (1) use the affine Weyl group symmetry (of ) (Hasegawa in Adv Stud Pure Math 61:275-288, 2011), (2) Lax formalism, i.e. monodromy preserving point of view. It turns out that the second approach is also successful and gives the same quantization as in the first approach.

引用

页码：865 / 879

页数：15

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