Star graphs and Seba billiards

被引:59
作者
Berkolaiko, G [1 ]
Bogomolny, EB
Keating, JP
机构
[1] Weizmann Inst Sci, Dept Phys COmplex Syst, IL-76100 Rehovot, Israel
[2] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
[3] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
[4] Hewlett Packard Labs, BRIMS, Bristol BS34 8QZ, Avon, England
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 03期
关键词
D O I
10.1088/0305-4470/34/3/301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive an exact expression for the two-point correlation function for quantum star graphs in the limit as the number of bonds tends to infinity. This turns out to be identical to the corresponding result for certain Seba billiards in the semiclassical limit. The reasons for this are discussed. The formula we derive is also shown to be equivalent to a series expansion for the form factor-the Fourier transform of the two-point correlation function-previously calculated using periodic orbit theory.
引用
收藏
页码:335 / 350
页数:16
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