Europhys. Lett.
Volume 74, Number 2, April 2006
Page(s) 327 - 333
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 15 March 2006
Europhys. Lett., 74 (2), pp. 327-333 (2006)
DOI: 10.1209/epl/i2005-10529-8

Time asymptotic expansion of the tunneled wave function for a double-barrier potential

V. Petrillo1 and V. S. Olkhovsky2

1  Dipartimento di Fisica dell'Università degli Studi di Milano, INFN-INFM Via Celoria 16, 20133 Milano, Italy
2  Insitute for Nuclear Research, Ukrainian Academy of Science Prospect Nauki 47, 252028 Kiev, Ukraine

received 19 July 2005; accepted in final form 21 February 2006
published online 15 March 2006

A time-asymptotic analytical expression of the wave function transmitted by a double-barrier potential is presented. This analytical expression is validated by comparing it with the complete numerical solution of the Schroedinger equation. In the resonant regime, where the asymptotic expression is not valid, an approximation of the wave function, valid for all times, is given.

73.40.Gk - Tunneling.
03.65.-w - Quantum mechanics.

© EDP Sciences 2006