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.

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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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