Treffer: Dirac-orthogonality in the space of tempered distributions
Title:
Dirac-orthogonality in the space of tempered distributions
Authors:
Source:
Journal of Computational and Applied Mathematics. 153:99-107
Publisher Information:
Elsevier BV, 2003.
Publication Year:
2003
Subject Terms:
Distributions, generalized functions, distribution spaces, Observable, Applications of operator theory in the physical sciences, Applied Mathematics, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), 01 natural sciences, scalar product, Operations with distributions and generalized functions, Linear operator, tempered distribution, quantum system, state, observable, orthogonality, Computational Mathematics, Scalar product, General mathematical topics and methods in quantum theory, Quantum system, Orthogonality, 0101 mathematics, State, Tempered distribution
Document Type:
Fachzeitschrift
Article<br />Conference object
File Description:
application/xml
Language:
English
ISSN:
0377-0427
DOI:
10.1016/s0377-0427(02)00634-9
DOI:
10.13140/rg.2.1.1990.4086
DOI:
10.13140/rg.2.1.5087.7208
Access URL:
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....9ffdf1ebf25889e47deea69f8a24d9bb
Database:
OpenAIRE
Weitere Informationen
The main goal of this paper, in the author's opinion, is to present a mathematical basis to a formalism of quantum mechanics. He starts with the space of tempered distributions, defines a regular tempered distribution by \(f\in O_M\), \(S\)-family and regular family of tempered distributions, giving some properties of them. It would be interesting to compare these results with those on distributional valued functions. In this way it is possible to define ``quantum extension of a regular operator'' and ``\(\delta\)-orthogonality'' and ``\(\delta\)-orthonormality''.