Probing eigenfunction nonorthogonality by parametric shifts of resonance widths
Quantum Physics
2013-12-19 v2 Mesoscale and Nanoscale Physics
Chaotic Dynamics
Nuclear Theory
Abstract
Recently, it has been shown that the change of resonance widths in an open system under a perturbation of its interior is a sensitive indicator of the nonorthogonality of resonance states. We apply this measure to quantify parametric motion of the resonances. In particular, a strong redistribution of the widths is linked with the maximal degree of nonorthogonality. Then for weakly open chaotic systems we discuss the effect of spectral rigidity on the statistical properties of the parametric width shifts, and derive the distribution of the latter in a picket-fence model with equidistant spectrum.
Cite
@article{arxiv.1310.6671,
title = {Probing eigenfunction nonorthogonality by parametric shifts of resonance widths},
author = {D. V. Savin and J. -B. De Vaulx},
journal= {arXiv preprint arXiv:1310.6671},
year = {2013}
}
Comments
4 pages, 3 figures (references updated and typos fixed, published version)