QUANTUM POINCARE SECTIONS FOR 2-DIMENSIONAL BILLIARDS

被引：51

作者：

CRESPI, B ^{[1
]}

PEREZ, G ^{[1
]}

CHANG, SJ ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.47.986

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 show a method to extract the quantum Poincare section corresponding to an eigenstate of a two-dimensional billiard. This quantum Poincare section is given in terms of the Birkhoff variables of the problem.

引用

页码：986 / 991

页数：6

共 21 条

[1] NUMERICAL EXPERIMENTS ON FREE MOTION OF A POINT MASS MOVING IN A PLANE CONVEX REGION - STOCHASTIC TRANSITION AND ENTROPY
BENETTIN, G
STRELCYN, JM
[J]. PHYSICAL REVIEW A, 1978, 17 (02): : 773 - 785
[2] Berry M. V., 1981, European Journal of Physics, V2, P91, DOI 10.1088/0143-0807/2/2/006
[3] QUANTIZING A CLASSICALLY ERGODIC SYSTEM - SINAI BILLIARD AND THE KKR METHOD
BERRY, MV
[J]. ANNALS OF PHYSICS, 1981, 131 (01) : 163 - 216
[4] BIRKHOFF GD, 1927, DYNAMICAL SYSTEMS, V11
[5] Bunimovich L.A., 1974, FUNCT ANAL APPL, V8, P254, DOI DOI 10.1007/BF01075700
[6] EVOLUTION AND EXACT EIGENSTATES OF A RESONANT QUANTUM SYSTEM
CHANG, SJ
SHI, KJ
[J]. PHYSICAL REVIEW A, 1986, 34 (01): : 7 - 22
[7] DEALMEIDA AMO, 1982, ANN PHYS-NEW YORK, V138, P115, DOI 10.1016/0003-4916(82)90177-4
[8] Douady R., 1982, THESIS U PARIS 7
[9] BOUND-STATE EIGENFUNCTIONS OF CLASSICALLY CHAOTIC HAMILTONIAN-SYSTEMS - SCARS OF PERIODIC-ORBITS
HELLER, EJ
[J]. PHYSICAL REVIEW LETTERS, 1984, 53 (16) : 1515 - 1518
[10] THE EIGENFUNCTIONS OF CLASSICALLY CHAOTIC SYSTEMS
HELLER, EJ
OCONNOR, PW
GEHLEN, J
[J]. PHYSICA SCRIPTA, 1989, 40 (03): : 354 - 359

← 1 2 3 →