INTEGRABILITY OF THE YANG-MILLS HAMILTONIAN SYSTEM

被引：19

作者：

KASPERCZUK, S

机构：

[1] Institute of Physics, Pedagogical University, Zielona Góra, Pl 65069

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1994年 / 58卷 / 04期

关键词：

HAMILTONIAN SYSTEMS; PAINLEVE TEST; INTEGRABILITY;

D O I：

10.1007/BF00692012

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

This paper considers the integrability of generalized Yang-Mills system with the Hamiltonian H(a) (p, q) = 1/2 (p2(1) + p2(2) + a1q1(2) + a2q2(2)) + 1/4q1(4) + 1/4a3q2(4) + 1/2a4q1(2)q2(2). We prove that the system is integrable for the cases: (A) a1 = a2, a3 = a4 = 1; (B) a1 = a2, a3 = 1, a4 = 3; (C) a1 = a2/4, a3 = 16, a4 = 6. Our main result is the presentation of these integrals. Only for cases A and B does the Yang-Mills Hamiltonian possess the Painleve property. Therefore the Painleve test does not take account of the integrability for the case C.

引用

页码：387 / 391

页数：5

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