Andrianov, Alexander A., Lan, Chen, Novikov, Oleg O. and Wang, Yi-Fan ORCID: 0000-0002-0331-7463 (2018). Integrable minisuperspace models with Liouville field: energy density self-adjointness and semiclassical wave packets. Eur. Phys. J. C, 78 (9). NEW YORK: SPRINGER. ISSN 1434-6052

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Abstract

The homogeneous cosmological models with a Liouville scalar field are investigated in classical and quantum contexts of Wheeler-DeWitt geometrodynamics. In the quantum case of quintessence field with potential unbounded from below and phantom field, the energy density operators are not essentially self-adjoint, and self-adjoint extensions contain ambiguities. Therefore the same classical actions correspond to a family of distinct quantum models. For the phantom field the energy spectrum happens to be discrete. The probability conservation and appropriate classical limit can be achieved with a certain restriction of the functional class. The appropriately localized wave packets are studied numerically using the Schrodinger's norm and a conserved Mostafazadeh's norm introduced from techniques of pseudo-Hermitian quantum mechanics. These norms give a similar packet evolution that is confronted with analytical classical solutions.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Andrianov, Alexander A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Lan, ChenUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Novikov, Oleg O.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Wang, Yi-FanUNSPECIFIEDorcid.org/0000-0002-0331-7463UNSPECIFIED
URN: urn:nbn:de:hbz:38-172436
DOI: 10.1140/epjc/s10052-018-6255-5
Journal or Publication Title: Eur. Phys. J. C
Volume: 78
Number: 9
Date: 2018
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 1434-6052
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
QUANTUM COSMOLOGY; SCALAR FIELDS; GRAVITY; INFLATION; MECHANICS; COMPONENT; EQUATIONMultiple languages
Physics, Particles & FieldsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/17243

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