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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...

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Détails bibliographiques
Cote:Libro Electrónico
Format: Électronique eBook
Langue:Inglés
Publié: World Scientific 2006.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • 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.