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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: World Scientific 2006.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a From Micro To Macro Quantum Systems :  |b a Unified Formalism With Superselection Rules And Its Applications. 
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505 0 |a 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. 
520 |a 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 rules and maximal symmetric operators into the theory. The resulting theory is applicable to classical, microscopic quantum and non-orthodox mixed quantum systems of which macroscopic quantum systems are examples. A unified formalism also greatly facilitates the discussion of interactions between these systems. A scheme of quantization by parts is introduced, based on the mathematics of selfadjoint and maximal symmetric extensions of symmetric operators, to describe point interactions. 
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