Semiclassical Tunneling of Wavepackets with Real Trajectories

Details Semiclassical Tunneling of Wavepackets with Real Trajectories Semiclassical Tunneling of Wavepackets with Real Trajectories

2006-09-04

arxiv.org/abs/quant-ph/0609016v2

Physica Scripta 75 (2007) 363

Physics

Quantum Physics

23 pages, 7 figures Revised text and figures

Scientific paper

10.1088/0031-8949/75/3/023

Semiclassical approximations for tunneling processes usually involve complex trajectories or complex times. In this paper we use a previously derived approximation involving only real trajectories propagating in real time to describe the scattering of a Gaussian wavepacket by a finite square potential barrier. We show that the approximation describes both tunneling and interferences very accurately in the limit of small Plank's constant. We use these results to estimate the tunneling time of the wavepacket and find that, for high energies, the barrier slows down the wavepacket but that it speeds it up at energies comparable to the barrier height.

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