LONG-TIME BEHAVIOR OF THE SEMICLASSICAL BAKERS MAP

被引：28

作者：

DITTES, FM ^{[1
]}

DORON, E ^{[1
]}

SMILANSKY, U ^{[1
]}

机构：

[1] RES CTR ROSSENDORF,INST NUCL & HADRON PHYS,D-01314 DRESDEN,GERMANY

来源：

PHYSICAL REVIEW E | 1994年 / 49卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.49.R963

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study the long-time behavior of the quantized baker's map in the semiclassical approximation. Our main object of investigation is the trace of the (n-step) time-evolution operator. We express this trace as a phase-space integral which equals the semiclassical expression in terms of periodic orbits. This enables us to follow the evolution explicitly up to the time at which the semiclassical traces start to diverge exponentially from the quantum ones. Our data indicate that this breakdown time scales with h in a way close to h-1/2.

引用

页码：R963 / R966

页数：4

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