Результаты исследований: Научные публикации в периодических изданиях › статья
QUANTUM COSMOLOGY OF MULTIFIELD SCALAR MATTER: SOME EXACT SOLUTIONS. / Andrianov, A.A.; Novikov, O.O.; Chen, L.
в: Theoretical and Mathematical Physics, Том 184, № 3, 2015, стр. 1224-1233.Результаты исследований: Научные публикации в периодических изданиях › статья
}
TY - JOUR
T1 - QUANTUM COSMOLOGY OF MULTIFIELD SCALAR MATTER: SOME EXACT SOLUTIONS
AU - Andrianov, A.A.
AU - Novikov, O.O.
AU - Chen, L.
PY - 2015
Y1 - 2015
N2 - We consider gravity interacting with matter scalar fields and quantized in the superspace approach in which the wave functional is described by the Wheeler–DeWitt equations. Assuming the dominance of the homogeneous and isotropic geometry, we investigate the leading contribution to the wave functional in the minisuperspace approximation with the Friedmann–Robertson–Walker metric and scalar fields depending on the time parameter. We construct a model of several scalar fields with exponential potentials and kinetic terms admitting a special mixing such that it is ultimately possible to separate the variables in the Wheeler–DeWitt equation and find its exact solution in terms of special functions. We study the semiclassical approximation in detail and choose boundary conditions that allow selecting the physical solution selection for classical cosmologies.
AB - We consider gravity interacting with matter scalar fields and quantized in the superspace approach in which the wave functional is described by the Wheeler–DeWitt equations. Assuming the dominance of the homogeneous and isotropic geometry, we investigate the leading contribution to the wave functional in the minisuperspace approximation with the Friedmann–Robertson–Walker metric and scalar fields depending on the time parameter. We construct a model of several scalar fields with exponential potentials and kinetic terms admitting a special mixing such that it is ultimately possible to separate the variables in the Wheeler–DeWitt equation and find its exact solution in terms of special functions. We study the semiclassical approximation in detail and choose boundary conditions that allow selecting the physical solution selection for classical cosmologies.
KW - quantum cosmology
KW - Wheeler–DeWitt equation
KW - minisuperspace
KW - exponential potential
U2 - 10.1007/s11232-015-0328-5
DO - 10.1007/s11232-015-0328-5
M3 - Article
VL - 184
SP - 1224
EP - 1233
JO - Theoretical and Mathematical Physics (Russian Federation)
JF - Theoretical and Mathematical Physics (Russian Federation)
SN - 0040-5779
IS - 3
ER -
ID: 3961215