QUANTUM CHAOS

被引:13
作者
BLUMEL, R
MEHL, JB
机构
[1] Department of Physics and Astronomy, University of Delaware, Newark, 19716, Delaware
关键词
NONLINEAR DYNAMICS; CHAOS; QUANTUM CHAOS;
D O I
10.1007/BF01048847
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A quantum system which is allowed to interact with its boundary in a self-consistent way is shown to exhibit chaos. We conjecture that in general genuine wave chaos (decaying autocorrelation functions, exponential sensitivity of wavefunctions to initial wavefunction configurations) can be obtained whenever a wavefield is allowed to modify its confining boundaries in a self-consistent way. We suggest to test this conjecture in the acoustic regime.
引用
收藏
页码:311 / 319
页数:9
相关论文
共 13 条
[1]   CHAOTIC RABI OSCILLATIONS UNDER QUASI-PERIODIC PERTURBATION - COMMENT [J].
BADII, R ;
MEIER, PF .
PHYSICAL REVIEW LETTERS, 1987, 58 (10) :1045-1045
[2]  
Blumel R., 1990, Physics World, V3, P30
[3]   QUANTUM-MECHANICAL SUPPRESSION OF CLASSICAL STOCHASTICITY IN THE DYNAMICS OF PERIODICALLY PERTURBED SURFACE-STATE ELECTRONS [J].
BLUMEL, R ;
SMILANSKY, U .
PHYSICAL REVIEW LETTERS, 1984, 52 (02) :137-140
[4]   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
[5]   LEVEL-CROSSINGS, ADIABATIC APPROXIMATION, AND BEYOND [J].
BULGAC, A .
PHYSICAL REVIEW LETTERS, 1991, 67 (08) :965-967
[6]  
BURDICK B, 1965, PHYS REV LETT, V14, P543
[7]   RELEVANCE OF CLASSICAL CHAOS IN QUANTUM-MECHANICS - THE HYDROGEN-ATOM IN A MONOCHROMATIC-FIELD [J].
CASATI, G ;
CHIRIKOV, BV ;
SHEPELYANSKY, DL ;
GUARNERI, I .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1987, 154 (02) :77-123
[8]  
Casati G., 1979, STOCHASTIC BEHAVIOR
[9]   UNIVERSAL INSTABILITY OF MANY-DIMENSIONAL OSCILLATOR SYSTEMS [J].
CHIRIKOV, BV .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 52 (05) :263-379
[10]   CHAOS, QUANTUM RECURRENCES, AND ANDERSON LOCALIZATION [J].
FISHMAN, S ;
GREMPEL, DR ;
PRANGE, RE .
PHYSICAL REVIEW LETTERS, 1982, 49 (08) :509-512