From Micro To Macro Quantum Systems : a Unified Formalism With Superselection Rules And Its Applications.
Traditional quantum theory has a very rigid structure, making it difficult to accommodate new properties emerging from novel systems. This book presents a flexible and unified theory for physical systems, from micro and macro quantum to classical. This is achieved by incorporating superselection rul...
Clasificación: | Libro Electrónico |
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Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
World Scientific
2006.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Contents
- Preface
- I Aspects of Geometric and Operator Theories
- 1 Manifolds and Dynamical Systems
- 1.1 Topological Spaces and Topological Equivalence
- 1.2 Euclidean Spaces
- 1.3 Differential Operators Vectors and Fields
- 1.4 Cotangent Vectors and Differential Forms
- 1.5 Differentiable Manifolds
- 1.6 Classical Dynamical Systems
- References
- 2 Operators and their Direct Integrals
- 2.1 Hilbert Spaces
- 2.2 Operators: Basic Definitions
- 2.3 Types of Operators and their Reductions
- 2.4 Unitary Operators and Unitary Transforms
- 2.5 Extensions of Symmetric Operators
- 2.6 Probability and Expectation Values
- 2.7 Spectral Measures and Probability
- 2.8 Selfadjointness and Spectral Decomposition
- 2.9 Generalized Spectral Measures and Probability
- 2.10 Spectr.