Poincare coherent states: the two-dimensional massless case

Autor:	Jean-Pierre Antoine, U. Moschella
Rok vydání:	1993
Předmět:	Pure mathematics Group (mathematics) Mathematical analysis General Physics and Astronomy Statistical and Nonlinear Physics Space (mathematics) Principal bundle Moduli Square-integrable function Phase space Poincaré group Coset Mathematical Physics Mathematics
Zdroj:	Journal of Physics A: Mathematical and General. 26:591-607
ISSN:	1361-6447 0305-4470
DOI:	10.1088/0305-4470/26/3/020
Popis:	Coherent states for the positive mass representations of the Poincare group in 1 + 1 dimensions have been obtained previously, using the fact that these representations are square integrable moduli of the subgroup of time translations. Here the method is extended by combining sections from the coset space into the group with homeomorphisms of the coset space (these maps are called quasi-sections). Then the generalized construction is applied to the zero mass representations of the (1 + 1)-dimensional Poincare group, which are square integrable moduli of a subgroup of light-like translations. The resulting coherent states, indexed as before by points in phase space, yield a resolution of the identity in the Krein space of the zero mass representations (the first explicit example of such a structure), and it turns out that they coincide with the familiar wavelets based on the 'ax + b' group.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee1d1da428d61a828afe7b26be0736ce https://doi.org/10.1088/0305-4470/26/3/020 Zobrazit plný text záznamu