Stationary states are used to describe the transmission and the reflection of a wave packet through a resonant tunnelling barrier. The transmitted and the reflected spectra are studied and different links between numerical evaluations and the important characteristics of the resonant regime are underlined. The differences between the behaviours of wide and narrow near-resonant wave packets are delineated: two time scales appear in the case of quasi-bound states.

Journal of Physics A Mathematical and GeneralNov 7, 200211 citations

Time reversed states in barrier tunneling

Kanchan Meena, P. Singha Deo

arXiv:2210.04564Physica E Low-dimensional Systems and NanostructuresFeb 9, 20234 citations

Pramana

Quasi-bound states, resonance tunnelling, and tunnelling times generated by twin symmetric barriers

A. Uma Maheswari, P. Prema, Sidhaarth Mahadevan, C. S. Shastry

Published Dec 1, 2009• 13 citations

Publisher

DOI: 10.1007/s12043-009-0173-x

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1+1

dimensions. In resonant situations for bound particles we find that the tunneling probability grows with time as

\propto t^2

, while in non-resonant situations it grows linearly with time. We evaluate not only the tunneling probability but also the time-dependent tunneling wavefunction for a particle that escapes to infinity, {\it i.e.} from a quasi-bound state to the continuum.