Quantum chaos in a double square well: An approach based on Bohm's view of quantum mechanics

被引:20
作者
Bonfim, OFD [1 ]
Florencio, J
Barreto, FCS
机构
[1] Reed Coll, Dept Phys, Portland, OR 97202 USA
[2] Univ Fed Minas Gerais, Dept Fis, BR-30161970 Belo Horizonte, MG, Brazil
来源
PHYSICAL REVIEW E | 1998年 / 58卷 / 05期
关键词
D O I
10.1103/PhysRevE.58.6851
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 study the dynamics of a quantum particle in a double square-well potential within a deterministic framework using Bohm's quantum mechanics. Phase portraits, Fourier spectral analysis, Poincare sections, and Lyapunov exponents clearly indicate that the particle undergoes periodic, quasiperiodic, and chaotic motions depending on the initial form of the wave packet. We also make a detailed comparison between the predictions of the present approach and those of conventional quantum mechanics for the same problem. [S1063-651X(98)03411-4].
引用
收藏
页码:6851 / 6854
页数:4
相关论文
共 20 条
[1]  
Albert D., 1992, QUANTUM MECH EXPERIE
[2]   CHAOTICLIKE BEHAVIOR IN A QUANTUM SYSTEM WITHOUT CLASSICAL COUNTERPART [J].
ASHKENAZY, Y ;
HORWITZ, LP ;
LEVITAN, J ;
LEWKOWICZ, M ;
ROTHSCHILD, Y .
PHYSICAL REVIEW LETTERS, 1995, 75 (06) :1070-1073
[3]   UNIVERSAL SIGNATURES OF QUANTUM CHAOS [J].
AURICH, R ;
BOLTE, J ;
STEINER, F .
PHYSICAL REVIEW LETTERS, 1994, 73 (10) :1356-1359
[4]   Chaotic signatures in the spectrum of a quantum double well [J].
Berkovits, R ;
Ashkenazy, Y ;
Horwitz, LP ;
Levitan, J .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1997, 238 (1-4) :279-284
[5]  
BOHM D, 1952, PHYS REV, V85, P166, DOI 10.1103/PhysRev.85.166
[6]  
Bohm D., 1993, The Undivided Universe
[7]  
de Broglie L, 1926, CR HEBD ACAD SCI, V183, P447
[8]  
de Broglie L., 1960, Nonlinear Wave Mechanics
[9]  
DEBROGLIE L, 1927, CR HEBD ACAD SCI, V185, P580
[10]   LIAPUNOV EXPONENTS FROM TIME-SERIES [J].
ECKMANN, JP ;
KAMPHORST, SO ;
RUELLE, D ;
CILIBERTO, S .
PHYSICAL REVIEW A, 1986, 34 (06) :4971-4979