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The semiclassical relation between open trajectories and periodic orbits for the Wigner time delay

Kuipers, Jack ; Sieber, Martin



Abstract

The Wigner time delay of a classically chaotic quantum system can be expressed semiclassically either in terms of pairs of scattering trajectories that enter and leave the system or in terms of the periodic orbits trapped inside the system. We show how these two pictures are related on the semiclassical level. We start from the semiclassical formula with the scattering trajectories and derive ...

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