Nodal domains statistics: A criterion for quantum chaos

被引：113

作者：

Blum, G ^{[1
]}

Gnutzmann, S ^{[1
]}

Smilansky, U ^{[1
]}

机构：

[1] Weizmann Inst Sci, IL-76100 Rehovot, Israel

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 88卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.88.114101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the distribution of the (properly normalized) numbers of nodal domains of wave functions in 2D quantum billiards. We show that these distributions distinguish clearly between systems with integrable (separable) or chaotic underlying classical dynamics, and for each case the limiting distribution is universal (system independent). Thus, a new criterion for quantum chaos is provided by the statistics of the wave functions, which complements the well-established criterion based on spectral statistics.

引用

页码：4 / 114101

页数：4

共 17 条

[1] Maximum norms of chaotic quantum eigenstates and random waves [J].