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
收藏
页码：865 / 879
页数：15
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