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Will geometric phases break the symmetry of time in quantum cosmology?

Title
Will geometric phases break the symmetry of time in quantum cosmology?
Authors
Kim S.P.Kim S.-W.
Ewha Authors
김성원
SCOPUS Author ID
김성원scopusscopus
Issue Date
1994
Journal Title
Physical Review D
ISSN
0556-2821JCR Link
Citation
Physical Review D vol. 49, no. 4, pp. R1679 - R1683
Indexed
SCOPUS scopus
Document Type
Article
Abstract
We investigate the Wheeler-DeWitt equation for a quantum minisuperspace cosmological model with minimal scalar fields. The adiabatic basis and the nonadiabatic basis of the scalar field Hamiltonian induce mode-dependent gauge potentials to the matrix effective graviational Hamiltonian equation in the projected minisuperspace. In particular, in the nonadiabatic basis the matrix effective gravitational Hamiltonian equation decouples except for a quadratic term of the gauge potential at the classical level. For a closed loop in the projected minisuperspace of the expanding and subsequently recollapsing universe, the mode-dependent geometric phases may break the symmetry of the cosmological time defined along classical trajectories of mode-dependent wave functions. © 1994 The American Physical Society.
DOI
10.1103/PhysRevD.49.R1679
Appears in Collections:
사범대학 > 과학교육과 > Journal papers
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