Messanae Universitas Studiorum

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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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

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