Tunneling through centrifugal barriers using complex valued classical trajectories

Semiclassical methods for solving the Time Dependent Schroedinger equation (TDSE) bridge the gap between quantum and classical mechanics. We have recently developed a semiclassical method based on complex valued classical trajectories. Here we combine the method with complex time and apply it to two different potentials: the Eckart potential and the centrifugal barrier potential. We analyse the ability of complex trajectories and complex time to describe classically allowed and classically forbidden processes on the same footing.^1-5

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