Real description of classical Hamiltonian dynamics generated by a complex potential
- 作者：Ali Mostafazadeh
- 关键词：Hamiltonian dynamics ; Complex potential ; Symplectic structure ; -symmetry
- 刊名：Physics Letters A
- 出版年：2006
- 期刊代码：57_03759601
- 类别：ph
- 出版时间：11 September 2006
- 卷：357
- 期：3
- 页码：177-180
- 文件大小：120 K
摘要
We show that the complex dynamics defined by an analytic potential admits a description in terms of the phase space equipped with an unconventional symplectic structure J. We obtain the general form of J and devise an equivalent real description of the system that is based on the conventional symplectic structure on . In this description the real part of the complex Hamiltonian generates the dynamics and its complex part is an independent integral of motion rendering the system integrable.