Universität zu Köln

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:	Creators Email ORCID ORCID Put Code Andrianov, Alexander A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Lan, Chen UNSPECIFIED UNSPECIFIED UNSPECIFIED Novikov, Oleg O. UNSPECIFIED UNSPECIFIED UNSPECIFIED Wang, Yi-Fan UNSPECIFIED orcid.org/0000-0002-0331-7463 UNSPECIFIED
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:	Keywords Language QUANTUM COSMOLOGY; SCALAR FIELDS; GRAVITY; INFLATION; MECHANICS; COMPONENT; EQUATION Multiple languages Physics, Particles & Fields Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/17243