paper

Statistics of resonances in one-dimensional disordered systems

arXiv:1204.0441 · doi:10.3952/lithjphys.52205

Abstract

The paper is devoted to the problem of resonances in one-dimensional disordered systems. Some of the previous results are reviewed and a number of new ones is presented. These results pertain to different models (continuous as well as lattice) and various regimes of disorder and coupling strength. In particular, a close connection between resonances and the Wigner delay time is pointed out and used to obtain information on the resonance statistics.

Submitted to the special issue, in memory of Y. Levinson, of the Lithuanian Journal of Physics

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