TY - JOUR

T1 - Inhomogeneous perturbations in the pseudo-Hermitian quantum cosmology

AU - Новиков, Олег Олегович

N1 - Funding Information: The work is done with financial support by grant RFBR, project 16-02-00348, grant RFBR, project 18-02-00264 and also travel grant of Saint Petersburg State University. The author is grateful to A.A.Andrianov, Chen Lan and Yi-Fan Wang for helpful discussions.

PY - 2018/10/31

Y1 - 2018/10/31

N2 - We consider the quantum cosmology of the phantom fields within the Wheeler-DeWitt approach using the classically equivalent model with complex potential. The Born-Oppenheimer approximation is used to study the behaviour of the inhomogeneous perturbations over the minisuperspace background. The evolution Hamiltonian is treated as a pseudo-Hermitian one and the conserved inner product is constructed within WKB approximation of the homogeneous wavefunction.

AB - We consider the quantum cosmology of the phantom fields within the Wheeler-DeWitt approach using the classically equivalent model with complex potential. The Born-Oppenheimer approximation is used to study the behaviour of the inhomogeneous perturbations over the minisuperspace background. The evolution Hamiltonian is treated as a pseudo-Hermitian one and the conserved inner product is constructed within WKB approximation of the homogeneous wavefunction.

UR - http://www.scopus.com/inward/record.url?scp=85056698893&partnerID=8YFLogxK

U2 - 10.1051/epjconf/201819107005

DO - 10.1051/epjconf/201819107005

M3 - Conference article

VL - 191

JO - EPJ Web of Conferences

JF - EPJ Web of Conferences

SN - 2100-014X

IS - XXth International Seminar on High Energy Physics (QUARKS-2018)

M1 - 07005

ER -