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The Statistical Mechanics of Lattice Gases, Volume I
Barry Simon
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Naturwissenschaften, Medizin, Informatik, Technik / Physik, Astronomie
Beschreibung
A state-of-the-art survey of both classical and quantum lattice gas models, this two-volume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twenty-five years. This first volume addresses, among many topics, the mathematical background on convexity and Choquet theory, and presents an exhaustive study of the pressure including the Onsager solution of the two-dimensional Ising model, a study of the general theory of states in classical and quantum spin systems, and a study of high and low temperature expansions. The second volume will deal with the Peierls construction, infrared bounds, Lee-Yang theorems, and correlation inequality.
This comprehensive work will be a useful reference not only to scientists working in mathematical statistical mechanics but also to those in related disciplines such as probability theory, chemical physics, and quantum field theory. It can also serve as a textbook for advanced graduate students.
Originally published in 1993.
The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Kundenbewertungen
Binomial theorem, Dimension, Theorem, Lie product formula, Norm (mathematics), Quantum statistical mechanics, Inequality (mathematics), Lattice gauge theory, Two-dimensional space, Continuous function (set theory), Laws of thermodynamics, Invertible matrix, Correlation function (quantum field theory), Binomial coefficient, Fourier inversion theorem, Heisenberg model (quantum), Hahn decomposition theorem, Ising model, Maximum modulus principle, Expectation value (quantum mechanics), Dimension (vector space), Lorentz covariance, Density theorem, Mean value theorem, Perron–Frobenius theorem, N-vector model, Unit sphere, Choquet theory, Golden–Thompson inequality, Probability measure, Second law of thermodynamics, Gamma function, Partition function (statistical mechanics), Third law of thermodynamics, Extreme point, Harmonic function, Infimum and supremum, Gaussian integral, Stone–Weierstrass theorem, Thermodynamic equilibrium, Hyperbolic function, Thermodynamics, Classical Heisenberg model, Eigenvalues and eigenvectors, Fermi–Dirac statistics, Integral equation, Fermion, Statistical mechanics, Thermodynamic state, Boundary value problem, Lattice model (physics), Infinitesimal generator (stochastic processes), Gauge theory, Quantum harmonic oscillator, Schrödinger equation, Hamiltonian mechanics, Mean field theory, Metric space, Gaussian measure, Automorphism, Characteristic function (probability theory), Dirac delta function, Bipolar theorem, Harmonic oscillator, Naturalness (physics), Central limit theorem, Statistical physics, Zeroth law of thermodynamics, Von Neumann algebra, Slater determinant