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Tunnelling time of a gaussian wave packet through two potential barriers

100%

Petrillo V. , Olkhovsky V.

Open Physics

2005

tom 3

nr 3

339-350

The resonant and non-resonant dynamies of a Gaussian quantum wave packet travelling through a double barrier system is studied as a function of the initial characteristics of the spectrum and of the parameters of the potential. The behaviour of the tunnelling time shows that there are situations where the Hartman effect occurs, while, when the resonances are dominant, and in particular for b>π/Δk (b being the inter-barrier distance and Δk the spectrum width), the tunnelling time becomes very large and the Hartman effect does not take place.

Particle tunneling and scattering in a three-dimensional potential with a barrier

80%

Olkhovsky V. , Petrillo V. , Jakiel J. , Kantor W.

Open Physics

2008

tom 6

nr 1

122-127

The particle tunneling through a 3-D rectangular potential barrier has been studied. The simplest model for multiple internal reflections has been assumed. The explicit expression for all the transmission and reflection probability amplitudes have been derived, as well as the tunneling and reflection phase times.

Dynamics of two quantum entangled particles interacting with a potential barrier in an EPR experiment

61%

Petrillo V. , Alberti G. , Celardo L. , Cerutti F. , Franchi S. , Mariani V.

Open Physics

2006

tom 4

nr 2

196-209

The effect of a position measurement on one component of a two-particle wave packet in a regularized space-momentum entangled state is analyzed. The wave packet interacts in the physical space with a potential barrier. When a position or momentum measurement is performed on one particle, a consequent strong modification of the dynamics of the other particle occurs.