Mathematical Methods XIB - 1st Edition - ISBN: 9780122456619, 9780323147699

Mathematical Methods XIB

1st Edition

Editors: Douglas Henderson
eBook ISBN: 9780323147699
Imprint: Academic Press
Published Date: 28th January 1975
Page Count: 508
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Description

Physical Chemistry: An Advanced Treatise, Volume XIB: Mathematical Methods focuses on mathematical techniques that consist of concepts relating to differentiation and integration.

This book discusses the methods in lattice statistics, Pfaffian solution of the planar Ising problem, and probability theory and stochastic processes. The random variables and probability distributions, non-equilibrium problems, Brownian motion, and scattering theory are also elaborated. This text likewise covers the elastic scattering from atoms, solution of integral and differential equations, concepts in graph theory, and theory of operator equations.

This volume provides graduate and physical chemistry students a basic understanding of mathematical techniques important in chemistry.

Table of Contents


List of Contributors


Foreword


Preface


Contents of Previous Volumes


Chapter 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


References


Chapter 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


References


Chapter 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


References


Chapter 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


References


Chapter 13 / The Solution of Integral and Differential Equations


I. Introduction


Details

No. of pages:
508
Language:
English
Copyright:
© Academic Press 1975
Published:
Imprint:
Academic Press
eBook ISBN:
9780323147699

About the Editor

Douglas Henderson

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