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Phys. Rev. A 72, 012106 (2005) [6 pages]

Quantum-shutter approach to tunneling time scales with wave packets

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Norifumi Yamada1 *, Gastón García-Calderón2 †, and Jorge Villavicencio3 ‡
1Department of Information Science, University of Fukui, 3-9-1 Bunkyo, Fukui, Fukui 910-8507, Japan
2Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20 364, 01000 México, Distrito Federal, México
3Facultad de Ciencias, Universidad Autónoma de Baja California, Apartado Postal 1880, 22800 Ensenada, Baja California, México

Received 3 September 2004; revised 7 February 2005; published 7 July 2005

The quantum-shutter approach to tunneling time scales [G. García-Calderón and A. Rubio, Phys. Rev. A 55, 3361 (1997)], which uses a cutoff plane wave as the initial condition, is extended to consider certain type of wave packet initial conditions. An analytical expression for the time-evolved wave function is derived. The time-domain resonance, the peaked structure of the probability density (as the function of time) at the exit of the barrier, originally found with the cutoff plane wave initial condition, is studied with the wave packet initial conditions. It is found that the time-domain resonance is not very sensitive to the width of the packet when the transmission process occurs in the tunneling regime.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.72.012106
DOI: 10.1103/PhysRevA.72.012106
PACS: 03.65.Xp, 03.65.Ca, 03.65.Ta

* Electronic address: yamada@i1nws1.fuis.fukui-u.ac.jp
† Electronic address: gaston@fisica.unam.mx
‡ Electronic address: villavics@uabc.mx

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