EXPERIMENTAL-DETERMINATION OF BILLIARD WAVE-FUNCTIONS

被引：204

作者：

STEIN, J

STOCKMANN, HJ

机构：

[1] Fachbereich Physik, Universität Marburg

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 19期

关键词：

D O I：

10.1103/PhysRevLett.68.2867

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Wave functions of a stadium billiard are determined in a microwave analog experiment. It is shown that Gutzwiller's semiclassical representation of the Green's function in terms of classical trajectories can account not only for eigenvalue spectra but also for eigenfunction patterns.

引用

页码：2867 / 2870

页数：4

共 15 条

[1] SEMICLASSICAL APPROXIMATIONS IN WAVE MECHANICS [J].

BERRY, MV ;

MOUNT, KE .

REPORTS ON PROGRESS IN PHYSICS, 1972, 35 (04) :315-+

[2] QUASI-LINEAR RIDGE STRUCTURES IN WATER-SURFACE WAVES [J].

BLUMEL, R ;

DAVIDSON, IH ;

REINHARDT, WP ;

LIN, H ;

SHARNOFF, M .

PHYSICAL REVIEW A, 1992, 45 (04) :2641-2644

[3] SMOOTHED WAVE-FUNCTIONS OF CHAOTIC QUANTUM-SYSTEMS [J].

BOGOMOLNY, EB .

PHYSICA D, 1988, 31 (02) :169-189

[4] CONVERGENCE OF THE SEMI-CLASSICAL PERIODIC ORBIT EXPANSION [J].

ECKHARDT, B ;

AURELL, E .

EUROPHYSICS LETTERS, 1989, 9 (06) :509-512

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

GUTZWILL.MC .

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

[6]

GUTZWILLER M., 1990, CHAOS CLASSICAL QUAN

[7] MANIFESTATION OF WAVE CHAOS IN PSEUDOINTEGRABLE MICROWAVE RESONATORS [J].

HAAKE, F ;

LENZ, G ;

SEBA, P ;

STEIN, J ;

STOCKMANN, HJ ;

ZYCZKOWSKI, K .

PHYSICAL REVIEW A, 1991, 44 (10) :R6161-R6164

[8] BOUND-STATE EIGENFUNCTIONS OF CLASSICALLY CHAOTIC HAMILTONIAN-SYSTEMS - SCARS OF PERIODIC-ORBITS [J].

HELLER, EJ .

PHYSICAL REVIEW LETTERS, 1984, 53 (16) :1515-1518

[9] THE EIGENFUNCTIONS OF CLASSICALLY CHAOTIC SYSTEMS [J].

HELLER, EJ ;

OCONNOR, PW ;

GEHLEN, J .

PHYSICA SCRIPTA, 1989, 40 (03) :354-359

[10] MICROWAVE PROPAGATION IN 2-DIMENSIONAL DIELECTRIC LATTICES [J].

MCCALL, SL ;

PLATZMAN, PM ;

DALICHAOUCH, R ;

SMITH, D ;

SCHULTZ, S .

PHYSICAL REVIEW LETTERS, 1991, 67 (15) :2017-2020

← 1 2 →