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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2002.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Sewell, Geoffrey L, |e author |1 http://viaf.org/viaf/24661867 | |
| 245 | 1 | 0 | |a Quantum Mechanics and Its Emergent Macrophysics / |c Geoffery L. Sewell |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2002. | |
| 300 | |a 1 online resource (308 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 500 | |a C.2 Equations of Motion. | ||
| 520 | |a 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 various states of organization of many-particle quantum systems. In this book, Geoffrey Sewell provides a new approach to the subject, based on a "macrostatistical mechanics," which contrasts sharply with the standard microscopic treatments of many-body problems. Sewell begins by presenting the operator algebraic framework for the theory. He then undertakes a macrostatistical treatment of both equilibrium and nonequilibrium thermodynamics, which yields a major new characterization of a complete set of thermodynamic variables and a nonlinear generalization of the Onsager theory. The remainder of the book focuses on ordered and chaotic structures that arise in some key areas of condensed matter physics. This includes a general derivation of superconductive electrodynamics from the assumptions of off-diagonal long-range order, gauge covariance, and thermodynamic stability, which avoids the enormous complications of the microscopic treatments. Sewell also unveils a theoretical framework for phase transitions far from thermal equilibrium. Throughout, the mathematics is kept clear without sacrificing rigor. Representing a coherent approach to the vast problem of the emergence of macroscopic phenomena from quantum mechanics, this well-written book is addressed to physicists, mathematicians, and other scientists interested in quantum theory, statistical physics, thermodynamics, and general questions of order and chaos | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Quantum theory. | |
| 650 | 0 | |a Quantum statistics. | |
| 650 | 0 | |a Statistical thermodynamics. | |
| 650 | 0 | |a Phase transformations (Statistical physics) | |
| 650 | 0 | |a Electrodynamics. | |
| 650 | 0 | |a Superconductivity. | |
| 650 | 2 | |a Quantum Theory | |
| 650 | 6 | |a Théorie quantique. | |
| 650 | 6 | |a Statistique quantique. | |
| 650 | 6 | |a Thermodynamique statistique. | |
| 650 | 6 | |a Transitions de phase. | |
| 650 | 6 | |a Électrodynamique. | |
| 650 | 6 | |a Supraconductivité. | |
| 650 | 7 | |a Superconductivity |2 fast | |
| 650 | 7 | |a Statistical thermodynamics |2 fast | |
| 650 | 7 | |a Quantum theory |2 fast | |
| 650 | 7 | |a Quantum statistics |2 fast | |
| 650 | 7 | |a Phase transformations (Statistical physics) |2 fast | |
| 650 | 7 | |a Electrodynamics |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Sewell, Geoffrey. |t Quantum Mechanics and Its Emergent Macrophysics. |d Princeton : Princeton University Press, ©2002 |z 9780691058320 |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctv173f2jj |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL6371067 | ||
| 994 | |a 92 |b IZTAP | ||