Quantum Mechanics and Its Emergent Macrophysics
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A01=Geoffrey L. Sewell
A01=Geoffrey Sewell
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Author_Geoffrey L. Sewell
Author_Geoffrey Sewell
Automorphism
Bifurcation theory
Category=PHQ
Chaos theory
Classical electromagnetism
Classical mechanics
Commutative property
Continuum mechanics
Correlation function (quantum field theory)
Dirac delta function
Dirac measure
Electromagnetic induction
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Equations of motion
Equilibrium thermodynamics
Ergodic theory
Euler equations (fluid dynamics)
Expectation value (quantum mechanics)
Fermi surface
Fermionic field
Gauge theory
Ginzburg-Landau theory
Harmonic oscillator
Hilbert space
Infinitesimal generator (stochastic processes)
Isotope effect
KMS state
Lattice model (physics)
Laws of thermodynamics
Magnetic field
Magnetic flux
Magnetic susceptibility
Markov process
Meissner effect
Microscopic reversibility
Microstate (statistical mechanics)
Non-equilibrium thermodynamics
Nucleon
Observable
Order and disorder (physics)
Particle number
Partition function (statistical mechanics)
Phase transition
Probability measure
Quantum dynamics
Quantum field theory
Quantum fluctuation
Quantum mechanics
Quantum number
Quantum optics
Quantum state
Quantum system
Renormalization
Schrodinger equation
Second law of thermodynamics
State-space representation
Statistical mechanics
Statistical physics
Stochastic process
Superconductivity
Superfluidity
Symmetry group
Theory
Thermodynamic equilibrium
Thermodynamic state
Thermodynamics
Third law of thermodynamics
Unitarity (physics)
Variable (mathematics)
Von Neumann entropy
Wave function
Product details
- ISBN 9780691058320
- Weight: 567g
- Dimensions: 152 x 235mm
- Publication Date: 18 Aug 2002
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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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.
Geoffrey Sewell is Professor of Mathematical Physics at Queen Mary, University of London. His previous book, "Quantum Theory of Collective Phenomena", is a classic in the field.
