SEMICLASSICAL TRACE FORMULAS OF NEAR-INTEGRABLE SYSTEMS - RESONANCES

被引：65

作者：

TOMSOVIC, S

GRINBERG, M

ULLMO, D

机构：

[1] INST PHYS NUCL,DIV PHYS THEOR,F-91406 ORSAY,FRANCE

[2] AT&T BELL LABS,MURRAY HILL,NJ 07974

[3] BULGARIAN ACAD SCI,INST NUCL RES & NUCL ENERGY,BU-1784 SOFIA,BULGARIA

[4] INST PHYS NUCL,DIV PHYS THEOR,F-91406 ORSAY,FRANCE

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.75.4346

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Trace formulas relate the quantum density of states to the properties of the periodic orbits of the underlying classical system. The expressions depend critically on the nature of the classical dynamics. The near-integrable regime is most importantly characterized by the destruction of rational invariant tori being replaced by chains of resonances, yet without globalized chaos being introduced. We give new, generalized expressions appropriate for resonances and apply them to a system that has served as a paradigm for the transition from regular to chaotic dynamics.

引用

页码：4346 / 4349

页数：4