Publication: Real description of classical Hamiltonian dynamics generated by a complex potential
Program
KU-Authors
KU Authors
Co-Authors
N/A
Advisor
Publication Date
2006
Language
English
Type
Journal Article
Journal Title
Journal ISSN
Volume Title
Abstract
We show that the complex dynamics defined by an analytic potential v: C -> C admits a description in terms of the phase space R-4 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 R-4. 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.
Description
Source:
Physics Letters A
Publisher:
Elsevier Science Bv
Keywords:
Subject
Physics