Chaos in quantum cosmology

被引：47
作者：
Cornish, NJ [1 ]
Shellard, EPS [1 ]
机构：
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England
来源：
PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 17期
关键词：
D O I：
10.1103/PhysRevLett.81.3571
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Most of the foundational work on quantum cosmology employs a simple minisuperspace model describing a Friedmann-Robertson-Walker universe containing a massive scalar field. We show that the classical limit of this model exhibits deterministic chaos and explore some of the consequences for the quantum theory. In particular, the breakdown of the WKB approximation calls into question many of the standard results in quantum cosmology. [S0031-9007(98)07464-X].
引用
收藏
页码：3571 / 3574
页数：4
相关论文
共 29 条
  • [1] [Anonymous], 1993, CHAOS DYNAMICAL SYST
  • [2] REGULAR AND IRREGULAR SEMICLASSICAL WAVEFUNCTIONS
    BERRY, MV
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1977, 10 (12): : 2083 - 2091
  • [3] A RULE FOR QUANTIZING CHAOS
    BERRY, MV
    KEATING, JP
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (21): : 4839 - 4849
  • [4] CHAOS AND SEMICLASSICAL LIMIT IN QUANTUM COSMOLOGY
    CALZETTA, E
    GONZALEZ, JJ
    [J]. PHYSICAL REVIEW D, 1995, 51 (12): : 6821 - 6828
  • [5] The mixmaster universe is chaotic
    Cornish, NJ
    Levin, JJ
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (06) : 998 - 1001
  • [6] A tale of two centres
    Cornish, NJ
    Gibbons, GW
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (07) : 1865 - 1881
  • [7] Chaos, fractals, and inflation
    Cornish, NJ
    Levin, JJ
    [J]. PHYSICAL REVIEW D, 1996, 53 (06) : 3022 - 3032
  • [8] DETTMANN CP, 1995, FRACTALS, V3, P161, DOI 10.1142/S0218348X9500014X
  • [9] FRACTAL BASINS AND CHAOTIC TRAJECTORIES IN MULTI-BLACK-HOLE SPACETIMES
    DETTMANN, CP
    FRANKEL, NE
    CORNISH, NJ
    [J]. PHYSICAL REVIEW D, 1994, 50 (02) : R618 - R621
  • [10] Einstein A, 1917, VERHAND DEUT PHYS GE, V19, P82
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