CHAOTIC SPECTROSCOPY

被引：77

作者：

DORON, E ^{[1
]}

SMILANSKY, U ^{[1
]}

机构：

[1] UNIV BRISTOL,HH WILLS PHYS LAB,BRISTOL BS8 1TL,AVON,ENGLAND

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.68.1255

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the spectra of quantized chaotic billiards from the point of view of scattering theory. We show that the spectral and the resonance density functions both fluctuate about a common mean. A semiclassical treatment explains this in terms of classical scattering trajectories and periodic orbits of the Poincare scattering map. This formalism is used to interpret recent experiments where the spectra of chaotic cavities were measured by microwave scattering.

引用

页码：1255 / 1258

页数：4

共 18 条

[11] PERIODIC ORBITS AND CLASSICAL QUANTIZATION CONDITIONS [J].

GUTZWILL.MC .

JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (03) :343-&

[12] FROM CLASSICAL TO QUANTUM-MECHANICS WITH HARD CHAOS [J].

GUTZWILLER, MC .

JOURNAL OF PHYSICAL CHEMISTRY, 1988, 92 (11) :3154-3163

[13] POINCARE MAP FOR SCATTERING STATES [J].

JUNG, C .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (08) :1345-1353

[14] NEW QUASI-LANDAU STRUCTURE OF HIGHLY EXCITED ATOMS - THE HYDROGEN-ATOM [J].

MAIN, J ;

WIEBUSCH, G ;

HOLLE, A ;

WELGE, KH .

PHYSICAL REVIEW LETTERS, 1986, 57 (22) :2789-2792

[15]

SMILANSKY U, IN PRESS 1989 P LES

[16] QUANTUM CHAOS IN BILLIARDS STUDIED BY MICROWAVE-ABSORPTION [J].

STOCKMANN, HJ ;

STEIN, J .

PHYSICAL REVIEW LETTERS, 1990, 64 (19) :2215-2218

[17] STUDIES OF MANY-CHANNEL SCATTERING [J].

WEIDENMULLER, HA .

ANNALS OF PHYSICS, 1964, 28 (01) :60-115

[18] ON A CLASS OF ANALYTIC FUNCTIONS FROM THE QUANTUM THEORY OF COLLISIONS [J].

WIGNER, EP .

ANNALS OF MATHEMATICS, 1951, 53 (01) :36-67

← 1 2 →