Institute of Physics- Sri Lanka Phase space studies of complex Henon Heiles potentials

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