Quantum Mechanics and Its Emergent Macrophysics /

The quantum theory of macroscopic systems is a vast, ever-developing area of science that serves to relate the properties of complex physical objects to those of their constituent particles. Its essential challenge is that of finding the conceptual structures needed for the description of the variou...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sewell, Geoffrey L (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2002.
Temas:
Quantum theory.
Quantum statistics.
Statistical thermodynamics.
Phase transformations (Statistical physics)
Electrodynamics.
Superconductivity.
Quantum Theory
Théorie quantique.
Statistique quantique.
Thermodynamique statistique.
Transitions de phase.
Électrodynamique.
Supraconductivité.
Superconductivity
Statistical thermodynamics
Quantum theory
Quantum statistics
Electrodynamics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover Page
  • Half-title Page
  • Title Page
  • Copyright Page
  • Contents
  • Preface
  • Notation
  • Part I: The Algebraic Quantum Mechanical Framework and the Description of Order, Disorder and Irreversibility in Macroscopic Systems: Prospectus
  • Chapter 1. Introductory Discussion of Quantum Macrophysics
  • Chapter 2. The Generalised Quantum Mechanical Framework
  • 2.1 Observables, States, Dynamics
  • 2.2 Finite Quantum Systems
  • 2.2.1 Uniqueness of the Representation
  • 2.2.2 The Generic Model
  • 2.2.3 The Algebraic Picture
  • 2.3 Infinite Systems: Inequivalent Representations
  • 2.3.1 The Representation
  • 2.3.2 The Representation
  • 2.3.3 Inequivalence of
  • 2.3.4 Other Inequivalent Representations
  • 2.4 Operator Algebraic Interlude
  • 2.4.1 Algebras: Basic Definitions and Properties
  • 2.4.2 States and Representations
  • 2.4.3 Automorphisms and Antiautomorphisms
  • 2.4.4 Tensor Products
  • 2.4.5 Quantum Dynamical Systems
  • 2.4.6 Derivations of *-Algebras and Generators of Dynamical Groups
  • 2.5 Algebraic Formulation of Infinite Systems
  • 2.5.1 The General Scheme
  • 2.5.2 Construction of the Lattice Model
  • 2.5.3 Construction of the Continuum Model
  • 2.6 The Physical Picture
  • 2.6.1 Normal Folia as Local Modifications of Single States
  • 2.6.2 Space-translationally Invariant States
  • 2.6.3 Primary States have Short Range Correlations
  • 2.6.4 Decay of Time Correlations and Irreversibility
  • 2.6.5 Global Macroscopic Observables
  • 2.6.6 Consideration of Pure Phases
  • 2.6.7 Fluctuations and Mesoscopic Observables
  • 2.7 Open Systems
  • 2.8 Concluding Remarks
  • Appendix A: Hilbert Spaces
  • Chapter 3. On Symmetry, Entropy and Order
  • 3.1 Symmetry Groups
  • 3.2 Entropy
  • 3.2.1 Classical Preliminaries
  • 3.2.2 Finite Quantum Systems
  • 3.2.3 Infinite Systems
  • 3.2.4 On Entropy and Disorder
  • 3.3 Order and Coherence
  • 3.3.1 Order and Symmetry
  • 3.3.2 Coherence
  • 3.3.3 Long Range Correlations in G-invariant Mixtures of Ordered Phases
  • 3.3.4 Superfluidity and Off-diagonal Long Range Order
  • 3.3.5 On Entropy and Order
  • 3.4 Further Discussion of Order and Disorder
  • Chapter 4. Reversibility, Irreversibilty and Macroscopic Causality
  • 4.1 Microscopic Reversibility
  • 4.1.1 Finite Systems
  • 4.1.2 Infinite Systems
  • 4.2 From Systems to Subsystems: Completely Positive Maps, Quantum Dynamical Semigroups and Conditional Expectations
  • 4.2.1 Complete Positivity
  • 4.2.2 Quantum Dynamical Semigroups
  • 4.2.3 Conditional Expectations
  • 4.3 Induced Dynamical Subsystems
  • 4.4 Irreversibility
  • 4.4.1 Irreversibility, Mixing and Markovian Dynamics
  • 4.5 Note on Classical Macroscopic Causality
  • Appendix A: Example of a Positive Map that is not Completely Positive
  • Appendix B: Simple Model of Irreversibility and Mixing
  • Appendix C: Simple Model of Irreversibility and Macroscopic Causality
  • C.1 The Model

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