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Proceedings Paper

Propagation Of A Spherical Gaussian Wave Packet Through A Double-Barrier Resonant Tunneling Structure
Author(s): Ralph G. Hay; Thomas B. Bahder; John D. Bruno
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Paper Abstract

In order to better understand the trapping and response time of resonant electron wave packets in a resonant tunneling structure, we examined the time-dependent transport of a spherically symmetric Gaussian wave packet through a model double-barrier potential. Within the effective mass picture, the wave packet is projected onto the complete eigenstates of the model potential. The wave packet is initially localized to the left of the barriers and allowed to propagate through the structure. At wave packet energies corresponding to the resonant energies, the probability transmitted to the right of the barriers exhibits a steplike behavior as a function of time. A computation is made of the quantum mechanical delay time, to~tclass, where to is the packet transit time and tclass is the transit time for a classical particle. An increase in this delay time is observed when the packet energy corresponds to the energy of the resonant levels, and a comparison is made to the decay time of a particle in the first resonant state of the well. The delay time increases with increasing barrier area and decreasing packet energy width.

Paper Details

Date Published: 18 August 1988
PDF: 8 pages
Proc. SPIE 0943, Quantum Well and Superlattice Physics II, (18 August 1988); doi: 10.1117/12.947280
Show Author Affiliations
Ralph G. Hay, Harry Diamond Laboratories (United States)
Thomas B. Bahder, Harry Diamond Laboratories (United States)
John D. Bruno, Harry Diamond Laboratories (United States)

Published in SPIE Proceedings Vol. 0943:
Quantum Well and Superlattice Physics II
Federico Capasso; Gottfried H. Doehler; Joel N. Schulman, Editor(s)

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