Phase space studies of complex Henon Heiles potentials
By: A Nanayakkara and C Abayaratne
Open Access
|Dec 2002Abstract
PT symmetric 2-D Henon-Heiles Potentials are studied semiclassically. We generalize the definition of Poincare' surface of sections to identify both regular and chaotic motion in the complex phase space. Definition of Lyapunov exponents is extended for complex trajectories. Both regular and chaotic trajectories are identified for the complex PT symmetric potentials using the new definition of Lyapunov exponents. A new quantization condition is introduced and its applicability to complex phase space is discussed.
doi:10.4038/sljp.v3i0.182
Sri Lankan Journal of Physics, Vol.3 (2002) 1-16
DOI: https://doi.org/10.4038/sljp.v3i0.182 | Journal eISSN: 2478-1193
Language: English
Page range: 1 - 16
Published on: Dec 1, 2002
Published by: Institute of Physics, Sri Lanka
In partnership with: Paradigm Publishing Services
Keywords:
© 2002 A Nanayakkara, C Abayaratne, published by Institute of Physics, Sri Lanka
This work is licensed under the Creative Commons License.