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Updated: May 21, 2026

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
Published on: April 28, 2016
Statistics of resonance width shifts as a signature of eigenfunction nonorthogonality
Yan V Fyodorov1, Dmitry V Savin
1Queen Mary University of London, School of Mathematical Sciences, London E1 4NS, United Kingdom.
Abstract:
We consider an open (scattering) quantum system under the action of a perturbation of its closed counterpart. It is demonstrated that the resulting shift of resonance widths is a sensitive indicator of the nonorthogonality of resonance wave functions, being zero only if those were orthogonal. Focusing further on chaotic systems, we employ random matrix theory to introduce a new type of parametric statistics in open systems and derive the distribution of the resonance width shifts in the regime of weak coupling to the continuum.
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