Quantum dynamics of Friedmann's universe

被引:2
|
作者
Burlankov, D. E. [1 ]
机构
[1] NI Lobachevsky Nizhny Novgorod Univ, Nizhnii Novgorod 603900, Russia
来源
GRAVITATION & COSMOLOGY | 2016年 / 22卷 / 01期
关键词
Quantum Dynamic; Global Time; Regular Singular Point; Heun Equation; Packet Center;
D O I
10.1134/S0202289316010047
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In the dynamics of three-dimensional space in global time, the global scale takes the form of a discrete variable whose dynamics is described by Friedmann models. Due to a nonzero Hamiltonian, a differential equation is formed for a vacuum configuration. This equation has exact discrete solutions with the spectrum epsilon (n) = +/-. Three Hilbert spaces are connected with this equation. We study the dynamics of wave packets on the basis of a small number of eigenfunctions.
引用
收藏
页码:64 / 70
页数:7
相关论文
共 50 条
  • [41] QUANTUM CORRECTIONS TO THE DYNAMICS OF THE EXPANDING UNIVERSE
    Kuzmichev, V. E.
    Kuzmichev, V. V.
    [J]. ACTA PHYSICA POLONICA B, 2013, 44 (10): : 2051 - 2073
  • [42] Summation over histories for the Friedmann universe
    [J]. Phys Rev D, 1600, 12 (7902):
  • [43] CREATION OF MATTER IN FRIEDMANN MODEL OF UNIVERSE
    GRIB, AA
    MAMAEV, SG
    [J]. SOVIET JOURNAL OF NUCLEAR PHYSICS-USSR, 1972, 14 (04): : 450 - &
  • [44] ACCELERATING UNIVERSE WITH MODIFIED FRIEDMANN EQUATION
    Al-Rawaf, A. S.
    [J]. MODERN PHYSICS LETTERS A, 2008, 23 (31) : 2691 - 2698
  • [45] Corrections to the Friedmann equations from loop quantum gravity for a universe with a free scalar field
    Taveras, Victor
    [J]. PHYSICAL REVIEW D, 2008, 78 (06)
  • [46] Smooth quantum dynamics of the mixmaster universe
    Bergeron, Herve
    Czuchry, Ewa
    Gazeau, Jean-Pierre
    Malkiewicz, Przemyslaw
    Piechocki, Wlodzimierz
    [J]. PHYSICAL REVIEW D, 2015, 92 (06):
  • [47] Polymer quantum dynamics of the Taub universe
    Battisti, Marco Valerio
    Lecian, Orchidea Maria
    Montani, Giovanni
    [J]. PHYSICAL REVIEW D, 2008, 78 (10)
  • [48] THE GROWTH OF ANISOTROPIC STRUCTURES IN A FRIEDMANN UNIVERSE
    BARROW, JD
    SILK, J
    [J]. ASTROPHYSICAL JOURNAL, 1981, 250 (02): : 432 - 449
  • [49] Neutrino at Different Epochs of the Friedmann Universe
    Ivanchik, Alexandre V.
    Kurichin, Oleg A.
    Yurchenko, Vlad Yu.
    [J]. UNIVERSE, 2024, 10 (04)
  • [50] Is space expanding in the Friedmann universe models?
    Gron, Oyvind
    Elgaroy, Oystein
    [J]. AMERICAN JOURNAL OF PHYSICS, 2007, 75 (02) : 151 - 157