Statistical Mechanics of Lattice Gases, Volume I
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A01=Barry Simon
Author_Barry Simon
Automorphism
Binomial coefficient
Binomial theorem
Bipolar theorem
Boundary value problem
Category=PBT
Category=PBW
Category=PHS
Central limit theorem
Characteristic function (probability theory)
Choquet theory
Classical Heisenberg model
Continuous function (set theory)
Correlation function (quantum field theory)
Density theorem
Dimension
Dimension (vector space)
Dirac delta function
Eigenvalues and eigenvectors
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Expectation value (quantum mechanics)
Extreme point
Fermi-Dirac statistics
Fermion
Fourier inversion theorem
Gamma function
Gauge theory
Gaussian integral
Gaussian measure
Golden-Thompson inequality
Hahn decomposition theorem
Hamiltonian mechanics
Harmonic function
Harmonic oscillator
Heisenberg model (quantum)
Hyperbolic function
Inequality (mathematics)
Infimum and supremum
Infinitesimal generator (stochastic processes)
Integral equation
Invertible matrix
Ising model
Lattice gauge theory
Lattice model (physics)
Laws of thermodynamics
Lie product formula
Lorentz covariance
Maximum modulus principle
Mean field theory
Mean value theorem
Metric space
N-vector model
Naturalness (physics)
Norm (mathematics)
Partition function (statistical mechanics)
Perron-Frobenius theorem
Probability measure
Quantum harmonic oscillator
Quantum statistical mechanics
Schrodinger equation
Second law of thermodynamics
Slater determinant
Statistical mechanics
Statistical physics
Stone-Weierstrass theorem
Theorem
Thermodynamic equilibrium
Thermodynamic state
Thermodynamics
Third law of thermodynamics
Two-dimensional space
Unit sphere
Von Neumann algebra
Zeroth law of thermodynamics
Product details
- ISBN 9780691607917
- Weight: 482g
- Dimensions: 152 x 229mm
- Publication Date: 14 Jul 2014
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
