Di Cosmo, Fabio (2017) Hamilton-Jacobi Methods in Fields, Particles and Information Geometry. [Tesi di dottorato]

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Tipologia del documento:	Tesi di dottorato
Lingua:	English
Titolo:	Hamilton-Jacobi Methods in Fields, Particles and Information Geometry
Autori:	Autore Email Di Cosmo, Fabio fabiodicosmo@gmail.com
Data:	10 Ottobre 2017
Numero di pagine:	104
Istituzione:	Università degli Studi di Napoli Federico II
Dipartimento:	Fisica
Dottorato:	Fisica
Ciclo di dottorato:	29
Coordinatore del Corso di dottorato:	nome email Capozziello, Salvatore salvatore.capozziello@unina.it
Tutor:	nome email Marmo, Giuseppe [non definito]
Data:	10 Ottobre 2017
Numero di pagine:	104
Parole chiave:	Generating functions and Hamilton-Jacobi Theory
Settori scientifico-disciplinari del MIUR:	Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Depositato il:	14 Ott 2017 15:15
Ultima modifica:	08 Mar 2018 10:59
URI:	http://www.fedoa.unina.it/id/eprint/11904
DOI:	10.6093/UNINA/FEDOA/11904

Abstract

The central point around which this thesis has been developed is the investigation of geometrical structures which are present in some theories of increasing interest in physics. In particular attention has been focused on information theory and quantum mechanics, where the systematic use of specific coordinate systems makes extremely difficult a proper geometrical interpretation of their contents. A guiding principle in this investigation has been the search for analogies with situations where the role of tensorial structures is better understood, first of all the realm of Lagrangian and Hamiltonian mechanics. Interestingly a unifying feature of all this investigation has been Hamilton-Jacobi theory and particularly its relationship with the definition of generating functions of canonical transformations.

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