TY - JOUR

T1 - Inhomogeneous Modes in the PT-Symmetric Quantum Cosmology

AU - Новиков, Олег Олегович

N1 - Funding Information: ACKNOWLEDGMENTS The work is done with financial support by grant RFBR, project no. 16-02-00348. The author is grateful to A.A. Andrianov, Chen Lan and A.V. Golovnev for helpful discussions.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - We consider the possibility to solve the issues of the phantom field cosmology by means of the PT-symmetric quantum theory. The Born–Oppenheimer approximation is applied to the Wheeler–DeWitt equation to study the inhomogeneous fluctuations over the homogeneous minisuperspace. The evolution of the longitudinal inhomogeneous modes in WKB-time is described using a time-dependent pseudo-Hermitian effective Hamiltonian.

AB - We consider the possibility to solve the issues of the phantom field cosmology by means of the PT-symmetric quantum theory. The Born–Oppenheimer approximation is applied to the Wheeler–DeWitt equation to study the inhomogeneous fluctuations over the homogeneous minisuperspace. The evolution of the longitudinal inhomogeneous modes in WKB-time is described using a time-dependent pseudo-Hermitian effective Hamiltonian.

KW - квантовая космология

KW - темная энергия

KW - неэрмитовые гамильтонианы

KW - quantum cosmology

KW - Dark Energy

KW - non-Hermitian Hamiltonians

KW - dark energy

KW - BORN-OPPENHEIMER CONTEXT

KW - TIME

KW - GRAVITY

UR - http://www.scopus.com/inward/record.url?scp=85049575225&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/inhomogeneous-modes-ptsymmetric-quantum-cosmology

U2 - 10.1134/S1547477118040179

DO - 10.1134/S1547477118040179

M3 - Article

VL - 15

SP - 353

EP - 356

JO - Physics of Particles and Nuclei Letters

JF - Physics of Particles and Nuclei Letters

SN - 1547-4771

IS - 4

ER -