Some remarks on complex Hamiltonian systems

被引：47

作者：

Kaushal, RS

Korsch, HJ ^{[1
]}

机构：

[1] Univ Kaiserslautern, FB Phys, D-67653 Kaiserslautern, Germany

[2] Univ Delhi, Dept Phys & Astrophys, Delhi 110007, India

来源：

PHYSICS LETTERS A | 2000年 / 276卷 / 1-4期

关键词：

complex Hamiltonian systems; integrable systems; PT-symmetry;

D O I：

10.1016/S0375-9601(00)00647-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The analyticity property of the one-dimensional complex Hamiltonian system H(x,p) = H-1(x(1), x(2) , p(1), p(2)) + iH(2)(x(1), x(2), p(1), p(2)) with p = p(1) + ix(2). x = x(1) + ip(2) is exploited to obtain a new class of the corresponding two-dimensional integrable Hamiltonian systems where H-1 acts as a new Hamiltonian and H-2 is a second integral of motion. Also a possible connection between H-1 and H-2 is sought in terms of an auto-Backlund transformation. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：47 / 51

页数：5

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