This article is cited in 5 papers

Propagation of wave packets through resonant quantum systems

N. A. Ivanov, V. V. Skalozub

Dnepropetrovsk National University, Dnepropetrovsk, Ukraine

Abstract: We use a previously proposed modified saddle point method to describe the tunneling of a rectangular wave packet through a resonant quantum system. We calculate the shape of the wave packet obtained at the quantum system output analytically for different values of the level width. The result of propagation is a wave packet that is the superposition of complementary error functions. Comparing the result with the exact numerical solution obtained without using any asymptotic methods shows a rather good coincidence. We study the propagation of Gaussian and rectangular wave packets in detail for large values of the resonance level width.

Keywords: tunneling, resonance level, wave packet, resonance scattering, quantum system, scattering matrix.

Received: 19.10.2009
Revised: 29.11.2010

DOI: 10.4213/tmf6681

 English version: Theoretical and Mathematical Physics, 2011, 168:2, 1096–1104

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