Julia set describes quantum tunnelling in the presence of chaos

被引：38

作者：

Shudo, A

Ishii, Y

Ikeda, KS

机构：

[1] Tokyo Metropolitan Univ, Dept Phys, Tokyo 1920397, Japan

[2] Kyushu Univ, Dept Math, Fukuoka 8128581, Japan

[3] Ritsumeikan Univ, Fac Sci & Engn, Noji, Kusatsu 5250055, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 17期

关键词：

D O I：

10.1088/0305-4470/35/17/101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We find that characteristics of quantum tunnelling in the presence of chaos can be regarded as a manifestation of the Julia set of the complex dynamical system. Several numerical pieces of evidence for the standard map, together with a rigorous statement for the Henon map, are presented, demonstrating that the complex classical paths which contribute to the semiclassical propagator are dense in the Julia set. Chaotic tunnelling can thus be characterized by the transitivity of the dynamics and high density of the trajectories on the Julia set.

引用

页码：L225 / L231

页数：7

共 23 条

[1] POLYNOMIAL DIFFEOMORPHISMS OF C-2 - CURRENTS, EQUILIBRIUM MEASURE AND HYPERBOLICITY [J].