By Carl Bender and Daniel Hook

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

March 6, 2021

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$PT$-symmetric classical mechanics

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