The Statistical Mechanics of Lattice Gases, Volume I (eBook)

Barry Simon (Autor)

eBook Download: PDF

2014
536 Seiten
Princeton University Press (Verlag)
978-1-4008-6343-3 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 14.7.2014
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Schlagworte: Arzelà–Ascoli theorem • ArzelЁscoli theorem • asymptotic expansion • automorphism • Binomial coefficient • Binomial Theorem • bipolar theorem • Boltzmann constant • Boundary value problem • Bounded set (topological vector space) • Calculation • central limit theorem • Characteristic function (probability theory) • Choquet theory • Classical Heisenberg model • commutative property • Continuous function (set theory) • convex set • Correlation function (quantum field theory) • Counting measure • Density theorem • Dimension • Dimension (vector space) • Dirac delta function • Eigenvalues and Eigenvectors • Equation • ergodic theory • Expectation value (quantum mechanics) • Extreme point • Fermi–Dirac statistics • Fermion • FermiЄirac statistics • ferromagnetism • Fourier inversion theorem • gamma function • Gauge Theory • Gaussian integral • Gaussian measure • Gibbs Measure • Golden–Thompson inequality • GoldenДhompson inequality • Hahn decomposition theorem • hamiltonian mechanics • Harmonic function • Harmonic oscillator • Hausdorff dimension • Heisenberg model (quantum) • holomorphic function • Hyperbolic function • Inequality (mathematics) • Infimum and supremum • Infinitesimal generator (stochastic processes) • integral equation • Invertible matrix • Ising Model • KMS state • lattice gauge Theory • Lattice model (physics) • laws of thermodynamics • Lie product formula • Lorentz covariance • markov random field • maximum modulus principle • Mean field theory • mean value theorem • Metric Space • Monotonic Function • Naturalness (physics) • Norm (mathematics) • N-vector model • Partition function (statistical mechanics) • percolation theory • Periodic graph (crystallography) • Perron–Frobenius theorem • PerronІrobenius theorem • Phase space • probability measure • Probability Theory • product measure • quantum harmonic oscillator • quantum statistical mechanics • quantum system • Radon–Nikodym theorem • RadonЎikodym theorem • renormalization • Riemann sum • Schrdinger equation • Schrödinger equation • second law of thermodynamics • Slater determinant • Spectral Theorem • SPHERICAL MODEL • spontaneous magnetization • Statistical Mechanics • Statistical Physics • Stone–Weierstrass theorem • StoneЗeierstrass theorem • Symplectic Geometry • Theorem • Thermodynamic Equilibrium • thermodynamics • Thermodynamic state • Third law of thermodynamics • two-dimensional space • Unit sphere • Von Neumann algebra • Zeroth law of thermodynamics
• ISBN-10: 1-4008-6343-0 / 1400863430
• ISBN-13: 978-1-4008-6343-3 / 9781400863433