The main goal of this paper is the realization that some formal basic results and definitions of the mathematical formalism of the quantum mechanics have a solid mathematical basis. In particular, we justify the so called "delta" normalization in the continuous case introduced by Dirac in his works (see ref. [20] page 66, 67, 68), works that are of fundamental importance in the foundation of the modern quantum physics. This formal mathematical tool had not, until now, a rigorous counterpart, neither in the area of the rigged Hilbert spaces theory. It is possible to find a systematic application of the above mentioned formal tool in [23, 24] and others.
Dirac-orthogonality in the space of tempered distributions
CARFI', David
2001-01-01
Abstract
The main goal of this paper is the realization that some formal basic results and definitions of the mathematical formalism of the quantum mechanics have a solid mathematical basis. In particular, we justify the so called "delta" normalization in the continuous case introduced by Dirac in his works (see ref. [20] page 66, 67, 68), works that are of fundamental importance in the foundation of the modern quantum physics. This formal mathematical tool had not, until now, a rigorous counterpart, neither in the area of the rigged Hilbert spaces theory. It is possible to find a systematic application of the above mentioned formal tool in [23, 24] and others.Pubblicazioni consigliate
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