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A mathematical introduction to Dirac's formalism /
This monograph contains a functional analytic introduction to Dirac's formalism. The first part presents some new mathematical notions in the setting of triples of Hilbert spaces, mentioning the concept of Dirac basis. The second part introduces a conceptually new theory of generalized function...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1986.
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| Colección: | North-Holland mathematical library ;
v. 36. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Some Basic Concepts and Developments in Sobolev Triples. Carleman Operators. A Measure Theoretical Sobolev Lemma. Dirac Bases. The Generalized Eigenvalue Problem for Self-Adjoint Operators. Direct Resolutions in Sobolev Triples.
- A Theory of Generalized Functions. Analyticity Spaces, Trajectory Spaces and Their Duality. Linear Mappings, Tensor Products and Kernel Theorems. Illustrations of Analyticity Spaces and Trajectory Spaces. The Concept of Dirac Bases Lifted to Trajectory Spaces.
- A Mathematical Interpretation of Dirac's Formalism. Dirac's Formalism According to Dirac and its Relations with Linear Algebra. A Mathematical Interpretation of Dirac's Bracket Formalism. The Free Field Operator Formalism.