Quantum shutter approach to tunneling time scales with wave packets

Details Quantum shutter approach to tunneling time scales with wave packets Quantum shutter approach to tunneling time scales with wave packets

2004-09-10

arxiv.org/abs/quant-ph/0409060v3

Physics

Quantum Physics

6 pages

Scientific paper

10.1103/PhysRevA.72.012106

The quantum shutter approach to tunneling time scales (G. Garc\'{\i }a-Calder\'{o}n and A. Rubio, Phys. Rev. A \textbf{55}, 3361 (1997)), which uses a cutoff plane wave as the initial condition, is extended in such a way that a certain type of wave packet can be used as the initial condition. 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 is in the tunneling regime.

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