A non-Hermitian circular billiard

被引:2
|
作者
Patkar, Saket P. [2 ]
Jain, Sudhir R. [1 ]
机构
[1] Bhabha Atom Res Ctr, Div Nucl Phys, Bombay 400085, Maharashtra, India
[2] Indian Inst Technol, Bombay 400076, Maharashtra, India
关键词
Billiards; Diffraction; Pseudo-integrable systems; PT-symmetry; Random matrix theory; WEAK-LOCALIZATION; HAMILTONIANS; SYSTEMS; SYMMETRY; MODELS;
D O I
10.1016/j.physleta.2010.06.033
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A perturbative form of a circular billiard with an off-centre flux line yields a non-Hermitian Hamiltonian with real spectrum. The spacing among neighbouring levels deviates from Poisson distribution (expected for integrable systems). The eigenfunctions exhibit directional property due to broken parity and time-reversal symmetries. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:3396 / 3399
页数:4
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