Classical integrable two-dimensional models inspired by SUSY quantum mechanics

被引：32

作者：

Andrianov, AA ^{[1
]}

Ioffe, MV ^{[1
]}

Nishnianidze, DN ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg 198904, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 25期

关键词：

D O I：

10.1088/0305-4470/32/25/307

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A class of integrable two-dimensional (2D) classical systems with integrals of motion of fourth order in momenta is obtained from the quantum analogues with the help of deformed SUSY algebra. With similar technique a new class of potentials connected with the Lax method is found which provides the integrability of corresponding 2D Hamiltonian systems. In addition, some integrable 2D systems with potentials expressed in elliptic functions are explored.

引用

页码：4641 / 4654

页数：14

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