PT-symmetric classical mechanics

This paper reports the results of an ongoing in-depth analysis of the classical trajectories of the class of non-Hermitian PT-symmetric Hamiltonians H=p^2+ x^2(ix)^\varepsilon (\varepsilon\geq0). A variety of phenomena, heretofore overlooked, have been discovered such as the existence of infinitely many separatrix trajectories, sequences of critical initial values associated with limiting... Show more