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
  • [1] Quantum billiard chaos
    Liboff, RL
    PHYSICS LETTERS A, 2000, 269 (04) : 230 - 233
  • [2] Quantum chaos in a ripple billiard
    Li, WJ
    Reichl, LE
    Wu, B
    PHYSICAL REVIEW E, 2002, 65 (05):
  • [3] QUANTUM CHAOS IN THE HYPERBOLA BILLIARD
    SIEBER, M
    STEINER, F
    PHYSICS LETTERS A, 1990, 148 (8-9) : 415 - 420
  • [4] SIGNATURE OF CHAOS IN A QUANTUM PSEUDOINTEGRABLE BILLIARD
    CHEON, T
    MIZUSAKI, T
    SHIGEHARA, T
    YOSHINAGA, N
    PHYSICAL REVIEW A, 1991, 44 (02): : R809 - R812
  • [5] Quantum chaos for the vibrating rectangular billiard
    Porter, MA
    Liboff, RL
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (09): : 2317 - 2337
  • [6] Multifractal Eigenfunctions for a Singular Quantum Billiard
    Jonathan P. Keating
    Henrik Ueberschär
    Communications in Mathematical Physics, 2022, 389 : 543 - 569
  • [7] Multifractal Eigenfunctions for a Singular Quantum Billiard
    Keating, Jonathan P.
    Ueberschar, Henrik
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 389 (01) : 543 - 569
  • [8] QUANTUM CHAOS IN A DEFORMABLE BILLIARD - APPLICATIONS TO QUANTUM DOTS
    BRUUS, H
    STONE, AD
    PHYSICAL REVIEW B, 1994, 50 (24) : 18275 - 18287
  • [9] Quantum chaos for the radially vibrating spherical billiard
    Liboff, RL
    Porter, MA
    CHAOS, 2000, 10 (02) : 366 - 370
  • [10] THE ROTATING ELLIPTIC BILLIARD AND A SIGNATURE OF QUANTUM CHAOS
    TRAIBER, AJS
    FENDRIK, AJ
    BERNATH, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07): : L305 - L309