Quantum nonintegrability and the classical limit for usp(4) systems

被引:0
作者
Novaes, M [1 ]
Hornos, JEM [1 ]
机构
[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP, Brazil
基金
巴西圣保罗研究基金会;
关键词
quantum chaos; algebraic models; classical limit; coherent states;
D O I
10.1016/j.aop.2004.06.004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the transition from integrability to chaos in a system built of usp(4) elements, both in the quantum case and in its classical limit, obtained using coherent states. This algebraic Hamiltonian consists in an integrable term plus a nonlinear perturbation, and we see that the level spacing distribution for the quantum system is well approximated by the Berry-Robnik-Brody distribution, and accordingly the classical limit displays mixed dynamics. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:453 / 466
页数:14
相关论文
共 44 条
[1]   GROUP-THEORY APPROACH TO SCATTERING [J].
ALHASSID, Y ;
GURSEY, F ;
IACHELLO, F .
ANNALS OF PHYSICS, 1983, 148 (02) :346-380
[2]   INTERACTING BOSON MODEL OF COLLECTIVE NUCLEAR-STATES .4. O(6) LIMIT [J].
ARIMA, A ;
IACHELLO, F .
ANNALS OF PHYSICS, 1979, 123 (02) :468-492
[3]   INTERACTING BOSON MODEL OF COLLECTIVE NUCLEAR STATES .2. ROTATIONAL LIMIT [J].
ARIMA, A ;
IACHELLO, F .
ANNALS OF PHYSICS, 1978, 111 (01) :201-238
[4]   INTERACTING BOSON MODEL OF COLLECTIVE STATES .1. VIBRATIONAL LIMIT [J].
ARIMA, A ;
IACHELLO, F .
ANNALS OF PHYSICS, 1976, 99 (02) :253-317
[5]  
Arnold VI, 2013, Mathematical methods of classical mechanics
[6]   Vector coherent state representations, induced representations and geometric quantization: I. Scalar coherent state representations [J].
Bartlett, SD ;
Rowe, DJ ;
Repka, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (27) :5599-5623
[7]   Matrix elements for the symplectic sp(4) Lie algebra [J].
Bernardes, ED .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (35) :6295-6307
[8]   THE OVERTONE SPECTRUM OF MONOFLUORACETYLENE IN THE ALGEBRAIC APPROACH [J].
BERNARDES, ES ;
HORNOS, YM ;
HORNOS, J .
CHEMICAL PHYSICS LETTERS, 1993, 203 (2-3) :143-149
[9]   SEMICLASSICAL LEVEL SPACINGS WHEN REGULAR AND CHAOTIC ORBITS COEXIST [J].
BERRY, MV ;
ROBNIK, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (12) :2413-2421
[10]   CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].
BOHIGAS, O ;
GIANNONI, MJ ;
SCHMIT, C .
PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4