Propagation Of A Spherical Gaussian Wave Packet Through A Double-Barrier Resonant Tunneling Structure

Ralph G. Hay; Thomas B. Bahder; John D. Bruno

doi:10.1117/12.947280

18 August 1988 Propagation Of A Spherical Gaussian Wave Packet Through A Double-Barrier Resonant Tunneling Structure

Ralph G. Hay, Thomas B. Bahder, John D. Bruno

Proceedings Volume 0943, Quantum Well and Superlattice Physics II; (1988) https://doi.org/10.1117/12.947280
Event: Advances in Semiconductors and Superconductors: Physics and Device Applications, 1988, Newport Beach, CA, United States

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.

Citation Download Citation

Ralph G. Hay, Thomas B. Bahder, and John D. Bruno "Propagation Of A Spherical Gaussian Wave Packet Through A Double-Barrier Resonant Tunneling Structure", Proc. SPIE 0943, Quantum Well and Superlattice Physics II, (18 August 1988); https://doi.org/10.1117/12.947280

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