Feynman's transition amplitudes in the space Sn?

Carfì, David (2007) Feynman's transition amplitudes in the space Sn? Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze FF.MM.NN, LXXXV. ISSN 1825-1242

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Abstract

In this paper we propose a rigorous formulation for FeynmanÂ’s propagator of Quantum Mechanics; the space in which we build up the propagator is the space of tempered distributions S0n . The goals of the paper are the following ones: 1) a rigorous and operative definition of FeynmanÂ’s propagator in S0n; 2) the basic indications for a straightforward and not-ambiguous calculus for the propagators, easy to teach and use; 3) a rigorous formulation and proof of the famous FeynmanÂ’s Transition Amplitudes Theorem, in the space of tempered distributions; and of one its original generalization.

Item Type: Article
Subjects: M.U.S. - Contributi Scientifici > 13 - Scienze economiche e statistiche
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali
Depositing User: Mr Nunzio Femminò
Date Deposited: 16 Apr 2007
Last Modified: 13 Apr 2010 11:17
URI: http://cab.unime.it/mus/id/eprint/433

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