Physics – Quantum Physics
Scientific paper
2011-04-07
J. Phys. A: Math. Theor. 44, 485301 (2011)
Physics
Quantum Physics
18 pages, 4 figures
Scientific paper
10.1088/1751-8113/44/48/485301
Usually tunneling is established after imposing some matching conditions on the (time-independent) wave function and its first derivative at the boundaries of a barrier. Here an alternative scheme is proposed to determine tunneling and estimate transmission probabilities in time-dependent problems, which takes advantage of the trajectory picture provided by Bohmian mechanics. From this theory a general functional expression for the transmission probability in terms of the system initial state can be reached. This expression is used here to analyze tunneling properties and estimate transmissions in the case of initial Gaussian wave packets colliding with ramp-like barriers.
Miret-Artes Salvador
Sanz Angel S.
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