The Partition Method For A Power Series Expansion

Book Description :

The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics. In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the method to more complicated situations where the coefficients become polynomials or mathematical functions. From these examples, a general theory for the method is presented, which enables a programming methodology to be established. Finally, the programming techniques of previous chapters are used to derive power series expansions for complex generating functions arising in the theory of partitions and in lattice models of statistical mechanics. Explains the partition method by presenting elementary applications involving the Bernoulli, cosecant, and reciprocal logarithm numbers Compares generating partitions via the BRCP algorithm with the standard lexicographic approaches Describes how to program the partition method for a power series expansion and the BRCP algorithm

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This book presents a comprehensive review of a diverse range of subjects in physics written by physicists who have all been taught by or are associated with K C Hines. Ken Hines was a great mentor with far-reaching influence on his students who later went on to make outstanding contributions to physics in their careers. The papers provide significant insights into statistical physics, plasma physics from fluorescent lighting to quantum pair plasmas, cosmic ray physics, nuclear reactions, and many other fields. Sample Chapter(s). Chapter 1: Concerning Ken Hines... (358 KB). Contents: Resonant X-Ray Scattering and X-Ray Absorption: Closing the Circle? (Z Barnea et al.); The Screened Field of a Test Particle (R L Dewar); Aspects of Plasma Physics (R J Hosking); The Boltzmann Equation in Fluorescent Lamp Theory (G Lister); Pair Modes in Relativistic Quantum Plasmas (D B Melrose & J McOrist); Neutrons from the Galactic Centre (R R Volkas); Quaternions and Octonions in Nature (G C Joshi); Accretion onto the Supermassive Black Hole at the Centre of Our Galaxy (F Melia); and other papers. Readership: Academics and graduate students interested in physics.

Book Description :

The Stokes phenomenon refers to the emergence of jump discontinuities in asymptotic expansions at specific rays in the complex plane. This book presents a radical theory for the phenomenon by introducing the concept of regularization. Two methods of regularization, Borel summation and Mellin-Barnes regularization, are used to derive general expressions for the regularized values of asymptotic expansions throughout the complex plane. Though different, both yield identical values, which, where possible, agree with the original functions. Consequently, asymptotics has been elevated to a true disc

Book Description :

More than a decade ago, because of the phenomenal growth in the power of computer simulations, The University of Georgia formed the first institutional unit devoted to the use of simulations in research and teaching: The Center for Simulational Physics. As the simulations community expanded further, we sensed a need for a meeting place for both experienced simulators and neophytes to discuss new techniques and recent results in an environment which promoted extended discussion. As a consequence, the Center for Simulational Physics established an annual workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics. This year's workshop was the eleventh in this series, and the interest shown by the scientific community demonstrates quite clearly the useful purpose which the series has served. The latest workshop was held at The University of Georgia, February 23-27, 1998, and these proceedings provide a "status report" on a number of important topics. This volume is published with the goal of timely dissemination of the material to a wider audience. We wish to offer a special thanks to IBM Corporation for their generous support of this year's workshop. This volume contains both invited papers and contributed presentations on problems in both classical and quantum condensed matter physics. We hope that each reader will benefit from specialized results as well as profit from exposure to new algorithms, methods of analysis, and conceptual developments. Athens, GA, U. S. A. D. P. Landau April 1998 H-B.

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Download Nuclear Science Abstracts book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Book Description :

This introduction to quantum chromodynamics presents the basic concepts and calculations in a clear and didactic style accessible to those new to the field. Readers will find useful methods for obtaining numerical results, including pure gauge theory and quenched spectroscopy.

Book Description :

In recent years, many new techniques have emerged in the mathematical theory of discrete optimization that have proven to be effective in solving a number of hard problems. This book presents these recent advances, particularly those that arise from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions, and other tools normally considered outside of the standard curriculum in optimization. These new techniques, all of which are presented with minimal prerequisites, provide a transition from linear to nonlinear discrete optimization. This book can be used as a textbook for advanced undergraduates or first-year graduate students in mathematics, computer science or operations research. It is also appropriate for mathematicians, engineers, and scientists engaged in computation who wish to gain a deeper understanding of how and why algorithms work.

Book Description :

Focuses on the field of solid-state physics - also referred to as condensed matter physics - which grew to maturity between 1920 and 1960. The history of some exciting developments is told here in an easy-to-follow text, accessible to general readers, while maintaining standards of high scholarship.

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Download NASA Technical Note book written by United States. National Aeronautics and Space Administration, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

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Download NASA technical note book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

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Radiationless Transitions is a critical discussion of research studies on the theory and experiments in radiationless transitions. This book is composed of nine chapters, and begins with discussions on the theory and experiment of photophysical processes of single vibronic levels and/or single rovibronic levels. The subsequent chapters deal with the spectroscopic investigations of intramolecular vibrational relaxation; the dynamics of molecular excitation by light; and the photophysical processes of small molecules in condensed phase. The discussions then shift to the high pressure effects on molecular luminescence and the internal conversion involving localized excitations, presenting one qualitative and one quantitative example, as well as the intersystem crossing with localized excitations. A chapter explores the energy transfer processes that occur after a molecule in solution is excited by light, with an emphasis on solid solutions in which the large amplitude molecular motion is largely quenched. This chapter also looks into the liquid solutions in which the molecules can translate and rotate under the influence of fluctuating forces from the liquid. The concluding chapter focuses on ultrafast processes. Researchers in the fields of physics, chemistry, and biology will benefit from this book.

Book Description :

This proceedings contains seven invited papers and 100 contributed papers. The topics covered range from studies of theoretical aspects of computational methods through to simulations of large-scale industrial processes, with an emphasis on the efficient use of computers to solve practical problems. Developers and users of computational techniques who wish to keep up with recent developments in the application of modern computational technology to problems in science and engineering will find much of interest in this volume. Contents:Some Case Studies in Industrial Mathematics (F R de Hoog & N I Robinson)An Inverse Problem in Environmental Protection (J M Barry)Computational Techniques for Structural Assessment of Bridges (T Chalko et al)A Computationally Fast Method to Model Thin Strip Rolling (A E Dixon & W Y D Yuen)Comparison of Boundary Element Representations for Potential Fields (M J Drumm & T G Phemister)On the Computation of Stability Limits for Fusion Experiments (P R Garabedian & H J Gardner)The Finite Lattice Method of Series Expansions (I Jensen et al)A Comparison of Finite Difference and Lagrangian-Stochastic Methods for Oil Slick Tracking (G D Lewis et al)Numerical Modelling Techniques for Simulating the Microwave Heating of Polymer Materials Inside a Ridge Waveguide (F Liu & I Turner)Transport of Mucus (A H Pincombe & G D Tansley)Iterative Schemes for Series Solutions to Laplacian Free Boundary Problems (W W Read et al)A Systematic Approach to Calibrating Hydrodynamic Numerical Models (M D Teubner et al)Computation of Turbulent Combustion Flows with a Finite-Element Method (Z Zhu & N Stokes)and other papers Readership: Scientists in numerical and computational methods, applied mathematics, computational physics, supercomputing/parallel processing and fluid mechanics. keywords:

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Download Emergent Phenomena in Correlated Matter book written by Eva Pavarini,Erik Koch,Ulrich Schollwöck, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Book Description :

Surface Physics of Materials provides an account of the physical properties of solid surfaces. It examines the status of work on a number of aspects of solid surfaces and predicts the most profitable avenues for future research. The book contains a set of papers carefully selected to give broad coverage of the field of surface physics. The individual chapters deal with topics of current research interest and emphasize surface properties rather than the applicability of experimental techniques. The book covers different properties such as surface crystallography, electronic structure, and statistical thermodynamics of surface. It also provides a background of the importance of surfaces and interfaces in solid state devices and chemical reactions. This book caters to research workers, teachers, and graduate students in surface physics and serves as reference texts for the materials scientist specializing in other branches of the subject.

Book Description :

Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory. This book is divided into 10 chapters that cover the different branches of traditional mathematics. This book deals first with the concept of vector, matrix, and tensor analysis. These topics are followed by discussions on several theories of series relevant to physics; the fundamentals of complex variables and analytic functions; variational calculus for presenting the basic laws of many branches of physics; and the applications of group representations. The final chapters explore some partial and integral equations and derivatives of physics, as well as the concept and application of probability theory. Physics teachers and students will greatly appreciate this book.

Book Description :

Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Its most powerful techniques are truly universal. They are constantly expanding to find new fields of application, while advances continue to be made in the more traditional areas.

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Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focussing on basic physical aspects. No previous knowledge of thermodynamics or the molecular theory of gases is assumed. Illustrative examples based on simple materials and photon systems elucidate the central ideas and methods.

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This revised fourth edition provides an introduction to computer simulations in physics, cutting-edge algorithms, essential techniques, and petascale computing.

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Computational chemistry is increasingly used in conjunction with organic, inorganic, medicinal, biological, physical, and analytical chemistry, biotechnology, materials science, and chemical physics. This series is essential in keeping those individuals involved in these fields abreast of recent developments in computational chemistry.

Book Description :

A conversational introduction to combinatorics for upper undergraduates, emphasizing problem solving and active student participation.