Mathematical Methods XIB

List of ContributorsForewordPrefaceContents of Previous VolumesChapter 9 / Methods in Lattice Statistics I. Introduction II. Concepts in Graph Theory III. Evaluation of Lattice Constants IV. Exact Series Expansions V. The Dimer Problem VI. Pfaffian Solution of the Planar Ising Problem Appendix-Methods of Series Analysis ReferencesChapter 10 / Probability Theory and Stochastic Processes I. Introduction II. Random Variables and Probability Distributions III. Functions of Random Variables IV. Stochastic Processes-General V. Stochastic Processes Discrete in Both Sample Space and Time VI. Stochastic Processes Discrete in Sample Space but Continuous in Time VII. Stochastic Processes Continuous in Both Sample Space and Time ReferencesChapter 11 / Nonequilibrium Problems-Projection Operator Techniques I. Introduction II. The Projection Operator Technique III. Brownian Motion IV. Further Applications-Lowest Order Results V. Higher Order Results ReferencesChapter 12 / Scattering Theory I. Introduction II. Simple Particle Scattering from a Fixed Center III. The Green's Function and Solutions to an Inhomogeneous Differential Equation IV. Elastic Scattering from Atoms V. Inelastic Scattering VI. The Multichannel Scattering Matrix VII. Approximate Wave Functions VIII. Autoionization IX. The Optical Model X. The R-Matrix Theory ReferencesChapter 13 / The Solution of Integral and Differential Equations I. Introduction II. Theory of Operator Equations-Fundamentals III. Integral Equations: Linear and Nonlinear IV. Differential Equations, Mainly Nonlinear V. Methods of Solution ReferencesAuthor IndexSubject Index