Universität zu Köln

Gozdz, Andrzej ORCID: 0000-0003-4489-5136, Piechocki, Wlodzimierz ORCID: 0000-0002-0313-5395 and Schmitz, Tim ORCID: 0000-0002-2822-2794 (2021). Dependence of the affine coherent states quantization on the parametrization of the affine group. Eur. Phys. J. Plus, 136 (1). HEIDELBERG: SPRINGER HEIDELBERG. ISSN 2190-5444

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Abstract

The affine coherent states quantization is a promising integral quantization of Hamiltonian systems when the phase space includes at least one conjugate pair of variables which takes values from a half plane. Such a situation is common for gravitational systems which include singularities. The construction of the quantization map includes a one-to-one mapping of the half plane onto the affine group. Particular cases of this mapping define specific parametrizations of the group. Our aim is showing that different such parametrizations lead to unitarily inequivalent quantum theories. Depending on the Hamiltonian system under consideration, this dependence could potentially be used constructively.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Gozdz, Andrzej UNSPECIFIED orcid.org/0000-0003-4489-5136 UNSPECIFIED Piechocki, Wlodzimierz UNSPECIFIED orcid.org/0000-0002-0313-5395 UNSPECIFIED Schmitz, Tim UNSPECIFIED orcid.org/0000-0002-2822-2794 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-578834
DOI:	10.1140/epjp/s13360-020-01005-3
Journal or Publication Title:	Eur. Phys. J. Plus
Volume:	136
Number:	1
Date:	2021
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	2190-5444
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/57883