Interpretation of the solutions of the Wheeler-DeWitt equation

被引：16
|
作者：
Parentani, R
机构：
[1] Laboratoire de Mathématiques et Physique Théorique, CNRS UPRES A 6083, Faculté des Sciences, Université de Tours, Tours
来源：
PHYSICAL REVIEW D | 1997年 / 56卷 / 08期
关键词：
D O I：
10.1103/PhysRevD.56.4618
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We extract transition amplitudes among matter constituents of the universe by applying perturbation theory to the solutions of the Wheeler-DeWitt equation. By considering the limit in which gravity is treated classically, we identify what replaces the probability amplitudes in a Schrodinger framework. This mathematical identification determines in turn the physical interpretation of the solutions of the Wheeler-DeWitt equation. The interpretation so obtained is based on the current carried by these solutions and confirms ideas put forward by A. Vilenkin. [S0556-2821(97)03520-0].
引用
收藏
页码：4618 / 4624
页数：7
相关论文
共 50 条
  • [1] SOLUTIONS OF THE WHEELER-DEWITT EQUATION
    CHAKRABORTY, S
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1992, 31 (02) : 289 - 302
  • [2] An algebraic interpretation of the Wheeler-DeWitt equation
    Barrett, JW
    Crane, L
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (08) : 2113 - 2121
  • [3] QUANTUM POTENTIAL INTERPRETATION OF THE WHEELER-DEWITT EQUATION
    HORIGUCHI, T
    [J]. MODERN PHYSICS LETTERS A, 1994, 9 (16) : 1429 - 1443
  • [4] Discrete Wheeler-DeWitt equation
    Hamber, Herbert W.
    Williams, Ruth M.
    [J]. PHYSICAL REVIEW D, 2011, 84 (10):
  • [5] A Wheeler-DeWitt Equation with Time
    Rotondo, Marcello
    [J]. UNIVERSE, 2022, 8 (11)
  • [6] Class of solutions of the Wheeler-DeWitt equation with ordering parameter
    Vieira, H. S.
    Bezerra, V. B.
    Muniz, C. R.
    Cunha, M. S.
    Christiansen, H. R.
    [J]. PHYSICS LETTERS B, 2020, 809
  • [7] Exact solutions of the Wheeler-DeWitt equation and the Yamabe construction
    Ita, Eyo Eyo, III
    Soo, Chopin
    [J]. ANNALS OF PHYSICS, 2015, 359 : 80 - 96
  • [8] Against the Wheeler-DeWitt equation
    Landsman, NP
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1995, 12 (12) : L119 - L123
  • [9] Deformation of the Wheeler-DeWitt equation
    Faizal, Mir
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2014, 29 (20):
  • [10] PERTURBATIVE APPROACH TO THE WHEELER-DEWITT EQUATION
    ANADA, H
    KITAZOE, T
    MIZUMOTO, Y
    [J]. MODERN PHYSICS LETTERS A, 1993, 8 (01) : 45 - 52
12345