Resonance eigenfunctions in chaotic scattering systems

Pramana

Martin Sieber1¹ 

[1] School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom$$

关键词: Resonances;    semiclassics;    quantum chaos.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We study the semiclassical structure of resonance eigenstates of open chaotic systems. We obtain semiclassical estimates for the weight of these states on different regions in phase space. These results imply that the long-lived right (left) eigenstates of the non-unitary propagator are concentrated in the semiclassical limit ħ → 0 on the backward (forward) trapped set of the classical dynamics. On this support the eigenstates display a self-similar behaviour which depends on the limiting decay rate.

【 授权许可】

Unknown