EXACT DISTRIBUTION OF EIGENVALUE CURVATURES OF CHAOTIC QUANTUM-SYSTEMS

Authors
VONOPPEN F
Citation
F. Vonoppen, EXACT DISTRIBUTION OF EIGENVALUE CURVATURES OF CHAOTIC QUANTUM-SYSTEMS, Physical review letters, 73(6), 1994, pp. 798-801
Citations number
35
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
73
Issue
6
Year of publication
1994
Pages
798 - 801
Database
ISI
SICI code
0031-9007(1994)73:6<798:EDOECO>2.0.ZU;2-Y
Abstract
The parametric sensitivity of complex quantum systems is characterized by the distribution of eigenvalue curvatures k, defined as the second derivative of the eigenvalues with respect to a perturbation paramete r. For systems without time-reversal symmetry (unitary ensemble), the exact distribution is found to be P(k) = (2/pi)[1 + k2]-2. This proves a recent conjecture by Zakrzewski and Delande [Phys. Rev. E 47, 1650 (1993)].