Pseudo-Hermitian random matrix theory

被引：13
|
作者：
Srivastava, Shashi C. L. [1 ]
Jain, Sudhir R. [2 ]
机构：
[1] Ctr Variable Energy Cyclotron, RIBFG, Kolkata 700064, W Bengal, India
[2] Bhabha Atom Res Ctr, NPD, Bombay 400085, Maharashtra, India
来源：
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2013年 / 61卷 / 2-3期
关键词：
Random matrices; cyclic matrices; pseudo-Hermiticity; random walk; STATISTICAL-MECHANICS; CRYSTAL STATISTICS; QUANTUM CHAOS; SPECTRUM;
D O I：
10.1002/prop.201200107
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Complex extension of quantum mechanics and the discovery of pseudo-unitarily invariant random matrix theory has set the stage for a number of applications of these concepts in physics. We briefly review the basic ideas and present applications to problems in statistical mechanics where new results have become possible. We have found it important to mention the precise directions where advances could be made if further results become available. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：276 / 290
页数：15
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