Painleve equations as classical analogues of Heun equations

被引：33
|
作者：
Slavyanov, SY [1 ]
机构：
[1] ST PETERSBURG STATE UNIV,NIIF SPSU,ST PETERSBURG 198904,RUSSIA
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 22期
基金：
美国能源部;
关键词：
D O I：
10.1088/0305-4470/29/22/026
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The relationship between the Heun class of second-order linear equations and the Painleve second-order nonlinear equations is studied. The symbol of the Heun class equations is regarded as a quantum Hamiltonian. The independent variable and the differentiation operator correspond to the canonical variables and one of the parameters of the equation is assumed to be time. Painleve equations appear to be Euler-Lagrange equations related to corresponding classical motion.
引用
收藏
页码：7329 / 7335
页数：7
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