EXACT DISTRIBUTION OF EIGENVALUE CURVATURES OF CHAOTIC QUANTUM-SYSTEMS

被引:69
作者
VONOPPEN, F
机构
[1] Max-Planck-Institut für Kernphysik
关键词
D O I
10.1103/PhysRevLett.73.798
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 parameter. 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)].
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页码:798 / 801
页数:4
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