Around quantum ergodicity

被引:0
|
作者
Semyon Dyatlov
机构
[1] Massachusetts Institute of Technology,Department of Mathematics
来源
关键词
Quantum ergodicity; Quantum chaos; Eigenfunctions; 58J51;
D O I
暂无
中图分类号
学科分类号
摘要
We discuss Shnirelman’s Quantum Ergodicity Theorem, giving an outline of a proof and an overview of some of the recent developments in mathematical Quantum Chaos.
引用
收藏
页码:11 / 26
页数:15
相关论文
共 50 条
  • [1] Around quantum ergodicity
    Dyatlov, Semyon
    ANNALES MATHEMATIQUES DU QUEBEC, 2022, 46 (01): : 11 - 26
  • [2] Weak quantum ergodicity
    Kaplan, L
    Heller, EJ
    PHYSICA D-NONLINEAR PHENOMENA, 1998, 121 (1-2) : 1 - 18
  • [3] REMARKS ON QUANTUM ERGODICITY
    Riviere, Gabriel
    JOURNAL OF MODERN DYNAMICS, 2013, 7 (01) : 119 - 133
  • [4] Quantum Ergodicity on Graphs
    Gnutzmann, S.
    Keating, J. P.
    Piotet, F.
    PHYSICAL REVIEW LETTERS, 2008, 101 (26)
  • [5] Quantum unique ergodicity
    Donnelly, H
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (09) : 2945 - 2951
  • [6] QUANTUM ERGODICITY ON THE SPHERE
    ZELDITCH, S
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 146 (01) : 61 - 71
  • [7] QUANTUM ERGODICITY AND A QUANTUM MEASURE ALGEBRA
    STECHEL, EB
    JOURNAL OF CHEMICAL PHYSICS, 1985, 82 (01): : 364 - 371
  • [8] The ergodicity landscape of quantum theories
    Ho, Wen Wei
    Radicevic, Dorde
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2018, 33 (04):
  • [9] Measurement and ergodicity in quantum mechanics
    Bauer, Mariano
    Mello, Pier A.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (18) : 1 - 10
  • [10] QUANTUM ERGODICITY AND SPECTRAL CHAOS
    STECHEL, EB
    HELLER, EJ
    ANNUAL REVIEW OF PHYSICAL CHEMISTRY, 1984, 35 : 563 - 589