Probing Eigenfunction Nonorthogonality by Parametric Shifts of Resonance Widths |
| D.V. Savin and J.-B. De Vaulx
Department of Mathematical Sciences, Brunel University, Uxbridge, UB8 3PH, United Kingdom |
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| 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 nonortho-gonality 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 nonortho-gonality. 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. |
DOI: 10.12693/APhysPolA.124.1074 PACS numbers: 03.65.Nk, 05.45.Mt, 05.60.Gg |