In this paper we propose a rigorous formulation for Feynman’s propagator of Quantum Mechanics; the space in which we build up the propagator is the space of tempered distributions. The goals of the paper are the following ones: 1) a rigorous and operative definition of Feynman’s propagator in the space of tempered distribution; 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 Feynman’s Transition Amplitudes Theorem, in the space of tempered distributions; and of one its original generalization.
Feynman's transition amplitudes in the space S'n
CARFI', David
2007-01-01
Abstract
In this paper we propose a rigorous formulation for Feynman’s propagator of Quantum Mechanics; the space in which we build up the propagator is the space of tempered distributions. The goals of the paper are the following ones: 1) a rigorous and operative definition of Feynman’s propagator in the space of tempered distribution; 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 Feynman’s Transition Amplitudes Theorem, in the space of tempered distributions; and of one its original generalization.File in questo prodotto:
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