Explicitly solvable cases of one-dimensional quantum chaos -: art. no. 044101

被引：61

作者：

Blümel, R ^{[1
]}

Dabaghian, Y ^{[1
]}

Jensen, RV ^{[1
]}

机构：

[1] Wesleyan Univ, Dept Phys, Middletown, CT 06459 USA

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 88卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.88.044101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We identify a set of quantum graphs with unique and precisely defined spectral properties called regular quantum graphs. Although chaotic in their classical limit with positive topological entropy, regular quantum graphs are explicitly solvable. The proof is constructive: we present exact, convergent periodic orbit expansions for individual energy levels, thus obtaining an analytical solution for the spectrum of regular quantum graphs that is complete, explicit, and exact.

引用

页数：4

共 21 条

[1] Signature of non-Newtonian orbits in ray-splitting cavities [J].