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

[11]

HENON M, 1983, PHYSICA D, V8, P157, DOI 10.1016/0167-2789(83)90315-9

[12] DISTRIBUTION-FUNCTIONS IN PHYSICS - FUNDAMENTALS [J].

HILLERY, M ;

OCONNELL, RF ;

SCULLY, MO ;

WIGNER, EP .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 106 (03) :121-167

[13]

HUSIMI K, 1940, P PHYS MATH SOC JPN, V22, P246

[14]

Lazutkin VF, 1973, MATH USSR IZV, V7, P185, DOI DOI 10.1070/IM1973V007N01ABEH001932

[15] EIGENFUNCTIONS OF NONINTEGRABLE SYSTEMS IN GENERALIZED PHASE SPACES [J].

LEBOEUF, P ;

SARACENO, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (10) :1745-1764

[16] SPECTRUM AND EIGENFUNCTIONS FOR A HAMILTONIAN WITH STOCHASTIC TRAJECTORIES [J].

MCDONALD, SW ;

KAUFMAN, AN .

PHYSICAL REVIEW LETTERS, 1979, 42 (18) :1189-1191

[17] WAVE CHAOS IN THE STADIUM - STATISTICAL PROPERTIES OF SHORT-WAVE SOLUTIONS OF THE HELMHOLTZ-EQUATION [J].

MCDONALD, SW ;

KAUFMAN, AN .

PHYSICAL REVIEW A, 1988, 37 (08) :3067-3086

[18]

PERELOV A, 1986, GENERALIZED COHERENT

[19] QUANTIZING A GENERIC FAMILY OF BILLIARDS WITH ANALYTIC BOUNDARIES [J].

ROBNIK, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (05) :1049-1074

[20]

Sinai Yakov G., 1970, RUSS MATH SURV, V25, P141, DOI 10.1070/RM1970v025n02ABEH003794

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