WAVE CHAOS IN SINGULAR QUANTUM BILLIARD

被引:136
|
作者
SEBA, P
机构
[1] Institute of Mathematics, Ruhr University Bochum
关键词
D O I
10.1103/PhysRevLett.64.1855
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a solvable singular quantum billiard which displays fully developed wave chaos. Its level statistics is investigated and proved to coincide with predictions of the Gaussian orthogonal ensemble of random matrices. The corresponding wave functions are shown to be well approximated by a Gaussian ransom variable. © 1990 The American Physical Society.
引用
收藏
页码:1855 / 1858
页数:4
相关论文
共 50 条
  • [21] Billiard Quantum Chaos: A Pioneering Image Encryption Scheme in the Post-Quantum Era
    Hwang, Seong Oun
    Waseem, Hafiz Muhammad
    Munir, Noor
    IEEE ACCESS, 2024, 12 : 85150 - 85164
  • [22] Wave dynamical chaos in a superconducting three-dimensional Sinai billiard
    Alt, H
    Dembowski, C
    Graf, HD
    Hofferbert, R
    Rehfeld, H
    Richter, A
    Schuhmann, R
    Weiland, T
    PHYSICAL REVIEW LETTERS, 1997, 79 (06) : 1026 - 1029
  • [23] CLASSICAL AND QUANTUM CHAOS OF THE WEDGE BILLIARD .1. CLASSICAL MECHANICS
    SZEREDI, T
    GOODINGS, DA
    PHYSICAL REVIEW E, 1993, 48 (05): : 3518 - 3528
  • [24] Classical and quantum chaos in the generalized parabolic lemon-shaped billiard
    Lopac, V.
    Mrkonjic, I.
    Radic, D.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1999, 59 (1-B):
  • [25] Classical and quantum chaos in the generalized parabolic lemon-shaped billiard
    Lopac, V
    Mrkonjic, I
    Radic, D
    PHYSICAL REVIEW E, 1999, 59 (01) : 303 - 311
  • [26] Billiard-ball paradox for a quantum wave packet
    Bishop, Lachlan G.
    Ralph, Timothy C.
    Costa, Fabio
    CLASSICAL AND QUANTUM GRAVITY, 2022, 39 (17)
  • [27] Quantum and wave signatures of chaos
    Haake, F
    QUANTUM FLUCTUATIONS, 1997, 63 : 467 - +
  • [28] CLASSICAL AND QUANTUM CHAOS OF THE WEDGE BILLIARD .2. QUANTUM-MECHANICS AND QUANTIZATION RULES
    SZEREDI, T
    GOODINGS, DA
    PHYSICAL REVIEW E, 1993, 48 (05) : 3529 - 3544
  • [29] MAGNETOCONDUCTANCE IN OPEN STADIUM BILLIARD - QUANTUM ANALOG OF TRANSITION FROM CHAOS TO TORI
    NAKAMURA, K
    ITO, K
    TAKANE, Y
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1994, 63 (09) : 3210 - 3213
  • [30] On the Signs of Quantum Chaos in a Scattering Billiard K System with Kinks of the Lateral Boundary
    Ganapol'skii, E. M.
    JETP LETTERS, 2012, 96 (07) : 456 - 460