Quantum Mechanics and Its Emergent Macrophysics (eBook)

Geoffrey Sewell (Autor)

eBook Download: PDF

2020
304 Seiten
Princeton University Press (Verlag)
978-0-691-22127-4 (ISBN)

Infos

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 "e;macrostatistical mechanics,"e; 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.

Produkt-Details

• Erscheint lt. Verlag: 10.11.2020
• Zusatzinfo: 9 line illus.
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Schlagworte: antiautomorphisms • attractor • Attractors • automorphism • Bifurcation Theory • Bose–Einstein condensate • bosons • canonical commutation relations (CCR) • central limit theorem • chaos theory • classical electromagnetism • classical Gaussian fields • classical mechanics • commutative property • Continuum Mechanics • Convexity • Correlation function (quantum field theory) • decay of time correlations • Degrees of freedom (mechanics) • density functional theory • Density Matrices • Diamagnetism • Dirac delta function • Dirac measure • Dynamical system • Electromagnetic Induction • Energy Density • Equation of State • Equations of motion • Equilibrium Thermodynamics • ergodic theory • Euler equations (fluid dynamics) • Expectation value (quantum mechanics) • extensive conserved quantities • Fermi Gas • Fermionic field • Fermions • Fermi surface • first law of thermodynamics • fluctuation-dissipation theorem • fluctuation observables • Gauge Theory • Ginzburg–Landau theory • global observables • Harmonic oscillator • Heisenberg picture • hilbert space • Hilbert spaces • Hydrodynamics • hypothesis • Infinitesimal generator (stochastic processes) • Irreversibility • Isotope effect • KMS state • Kullback–Leibler divergence • Lattice model (physics) • laws of thermodynamics • local commutativity • Local Observables • macrostatistics • Magnetic field • Magnetic flux • magnetic susceptibility • Markov Chain • Markov process • Markov Processes • mass–energy equivalence • Mean field theory • Meissner effect • Microscopic reversibility • Microstate (statistical mechanics) • mixing and irreversibility • Molecular chaos • Momentum operator • Neutrino • non-equilibrium thermodynamics • nonlinear Schrödinger equation • Nucleon • Observable • open systems • Operators in Hilbert Space • Order and disorder (physics) • Particle number • Partition function (statistical mechanics) • Pauli spins • Phase (matter) • phase transition • Photon • Planck constant • probability measure • Probability space • quantum dynamical semigroups • quantum dynamics • quantum field theory • Quantum fluctuation • quantum mechanics • Quantum number • Quantum Optics • quantum state • quantum system • renormalization • scale invariance • Schrödinger equation • second law of thermodynamics • short range correlations • State-space Representation • Statistical Mechanics • Statistical Physics • stochastic • Stochastic process • Superconductivity • Superfluidity • symmetry breaking • Symmetry group • theory • thermal reservoirs • Thermodynamic Equilibrium • thermodynamics • Thermodynamic state • Third law of thermodynamics • time correlations • transport coefficient • Unitarity (physics) • unitary transformation • Variable (mathematics) • Von Neumann algebra • von Neumann entropy • wave function
• ISBN-10: 0-691-22127-8 / 0691221278
• ISBN-13: 978-0-691-22127-4 / 9780691221274