Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishIn this paper, we introduce the concept of N-dimensional generalized Minkowski space, i.e., a space endowed with a (in general non-diagonal) metric tensor, whose coefficients do depend on a set of non-metrical coordinates. This is the first of a series of papers devoted to the investigation of the Killing symmetries of generalized Minkowski spaces. In particular, we discuss here the infinitesimal-algebraic structure of the space-time rotations in such spaces. It is shown that the maximal Killing group of these spaces is the direct product of a generalized Lorentz group and a generalized translation group. We derive the explicit form of the generators of the generalized Lorentz group in the self-representation and their related, generalized Lorentz algebra. The results obtained are specialized to the case of a 4-dimensional, "deformed" Minkowski space (M) over tilde (4) 6, i.e., a pseudoeuclidean space with metric coefficients depending on energy.
Cardone F, Marrani A, & Mignani R (2004). Killing symmetries of generalized Minkowski spaces. I. Algebraic-infinitesimal structure of spacetime rotation groups. FOUNDATIONS OF PHYSICS, 34(4), 617-641 [10.1023/B:FOOP.0000019628.97334.f0].
| Titolo: | Killing symmetries of generalized Minkowski spaces. I. Algebraic-infinitesimal structure of spacetime rotation groups | |
| Autori: | ||
| Data di pubblicazione: | 2004 | |
| Rivista: | ||
| Citazione: | Cardone F, Marrani A, & Mignani R (2004). Killing symmetries of generalized Minkowski spaces. I. Algebraic-infinitesimal structure of spacetime rotation groups. FOUNDATIONS OF PHYSICS, 34(4), 617-641 [10.1023/B:FOOP.0000019628.97334.f0]. | |
| Abstract: | In this paper, we introduce the concept of N-dimensional generalized Minkowski space, i.e., a space endowed with a (in general non-diagonal) metric tensor, whose coefficients do depend on a set of non-metrical coordinates. This is the first of a series of papers devoted to the investigation of the Killing symmetries of generalized Minkowski spaces. In particular, we discuss here the infinitesimal-algebraic structure of the space-time rotations in such spaces. It is shown that the maximal Killing group of these spaces is the direct product of a generalized Lorentz group and a generalized translation group. We derive the explicit form of the generators of the generalized Lorentz group in the self-representation and their related, generalized Lorentz algebra. The results obtained are specialized to the case of a 4-dimensional, "deformed" Minkowski space (M) over tilde (4) 6, i.e., a pseudoeuclidean space with metric coefficients depending on energy. | |
| Handle: | http://hdl.handle.net/11590/132433 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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