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Open Access item Setting up tunneling conditions by means of Bohmian mechanics

Authors:Sanz, Ángel S.
Miret-Artés, Salvador
Issue Date:2011
Publisher:Institute of Physics Publishing
Citation:Journal of Physics A: Mathematical and Theoretical 44: 485301 (2011)
Abstract:Usually tunneling is established after imposing some matching conditions on the (time-independent) wavefunction 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. © 2011 IOP Publishing Ltd.
Identifiers:doi: 10.1088/1751-8113/44/48/485301
issn: 1751-8113
Appears in Collections:(CFMAC-IFF) Artículos

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