PERIODIC-ORBITS OF NONSCALING HAMILTONIAN-SYSTEMS FROM QUANTUM-MECHANICS

被引：18

作者：

BARANGER, M

HAGGERTY, MR

LAURITZEN, B

MEREDITH, DC

PROVOST, D

机构：

[1] MIT,DEPT PHYS,CAMBRIDGE,MA 02139

[2] UNIV NEW HAMPSHIRE,DEPT PHYS,DURHAM,NH 03824

[3] UNIV TORONTO,DEPT CHEM,CHEM PHYS THEORY GRP,TORONTO,ON M5S 1A1,CANADA

来源：

CHAOS | 1995年 / 5卷 / 01期

关键词：

D O I：

10.1063/1.166075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quantal (E, τ) plots are constructed from the eigenvalues of the quantum system. We demonstrate that these representations display the periodic orbits of the classical system, including bifurcations and the transition from stable to unstable. © 1995 American Institute of Physics.

引用

收藏

页码：261 / 270

页数：10

相关论文

共 43 条

[1]

[Anonymous], 1992, TRANSITION CHAOS CON

[2]

[Anonymous], 1989, CHAOS INTEGRABILITY

[3] CORRELATIONS IN THE ACTIONS OF PERIODIC-ORBITS DERIVED FROM QUANTUM CHAOS [J].

ARGAMAN, N ;

DITTES, FM ;

DORON, E ;

KEATING, JP ;

KITAEV, AY ;

SIEBER, M ;

SMILANSKY, U .

PHYSICAL REVIEW LETTERS, 1993, 71 (26) :4326-4329

[4] DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE EQUATION IN A FINITE DOMAIN .2. ELECTROMAGNETIC FIELD - RIEMANNIAN SPACES [J].

BALIAN, R ;

BLOCH, C .

ANNALS OF PHYSICS, 1971, 64 (01) :271-&

[5] DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE EQUATION IN A FINITE DOMAIN .1. 3-DIMENSIONAL PROBLEM WITH SMOOTH BOUNDARY SURFACE [J].

BALIAN, R ;

BLOCH, C .

ANNALS OF PHYSICS, 1970, 60 (02) :401-&

[6] DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE-EQUATION IN A FINITE DOMAIN .3. EIGENFREQUENCY DENSITY OSCILLATIONS [J].

BALIAN, R ;

BLOCH, C .

ANNALS OF PHYSICS, 1972, 69 (01) :76-&

[7] PERIODIC TRAJECTORIES FOR A TWO-DIMENSIONAL NONINTEGRABLE HAMILTONIAN [J].

BARANGER, M ;

DAVIES, KTR .

ANNALS OF PHYSICS, 1987, 177 (02) :330-358

[8] THE CALCULATION OF PERIODIC TRAJECTORIES [J].

BARANGER, M ;

DAVIES, KTR ;

MAHONEY, JH .

ANNALS OF PHYSICS, 1988, 186 (01) :95-110

[9] A RULE FOR QUANTIZING CHAOS [J].

BERRY, MV ;

KEATING, JP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (21) :4839-4849

[10] SEMICLASSICAL THEORY OF SPECTRAL RIGIDITY [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1985, 400 (1819) :229-251

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