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The Partition Method for a Power Series Expansion

The Partition Method for a Power Series Expansion
  • Author : Victor Kowalenko
  • Publisher :Unknown
  • Release Date :2017-01-19
  • Total pages :322
  • ISBN : 0128045116
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Summary : 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

In Celebration of K.C. Hines

In Celebration of K.C. Hines
  • Author : Bruce H. J. McKellar,Ken Amos
  • Publisher :Unknown
  • Release Date :2010
  • Total pages :240
  • ISBN : 9814293660
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Summary : 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.

Series Expansion Methods for Strongly Interacting Lattice Models

Series Expansion Methods for Strongly Interacting Lattice Models
  • Author : Jaan Oitmaa,Chris Hamer,Weihong Zheng
  • Publisher :Unknown
  • Release Date :2006-04-06
  • Total pages :327
  • ISBN : 0521842425
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Summary : A comprehensive guide to series expansion methods for lattice models in theoretical physics.

Quantum Chromodynamics on the Lattice

Quantum Chromodynamics on the Lattice
  • Author : Christof Gattringer,Christian Lang
  • Publisher :Unknown
  • Release Date :2009-10-16
  • Total pages :343
  • ISBN : 3642018491
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Summary : 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.

Principles of Condensed Matter Physics

Principles of Condensed Matter Physics
  • Author : P. M. Chaikin,T. C. Lubensky
  • Publisher :Unknown
  • Release Date :2000-09-28
  • Total pages :699
  • ISBN : 9780521794503
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Summary : This successful and widely-reviewed book covering the physics of condensed matter systems is now available in paperback.

THE ANALYSIS OF A CERTAIN CLASS OF NONLINEAR SYSTEMS

THE ANALYSIS OF A CERTAIN CLASS OF NONLINEAR SYSTEMS
  • Author : A. YT. Bilal
  • Publisher :Unknown
  • Release Date :1963
  • Total pages :229
  • ISBN : 09876543XX
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Summary :

Algebraic Methods in Quantum Chemistry and Physics

Algebraic Methods in Quantum Chemistry and Physics
  • Author : Francisco M. Fernandez,E.A. Castro
  • Publisher :Unknown
  • Release Date :1995-10-24
  • Total pages :288
  • ISBN : 9780849382925
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Summary : Algebraic Methods in Quantum Chemistry and Physics provides straightforward presentations of selected topics in theoretical chemistry and physics, including Lie algebras and their applications, harmonic oscillators, bilinear oscillators, perturbation theory, numerical solutions of the Schrödinger equation, and parameterizations of the time-evolution operator. The mathematical tools described in this book are presented in a manner that clearly illustrates their application to problems arising in theoretical chemistry and physics. The application techniques are carefully explained with step-by-step instructions that are easy to follow, and the results are organized to facilitate both manual and numerical calculations. Algebraic Methods in Quantum Chemistry and Physics demonstrates how to obtain useful analytical results with elementary algebra and calculus and an understanding of basic quantum chemistry and physics.

Physica

Physica
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1956
  • Total pages :229
  • ISBN : 09876543XX
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Summary :

Scientific Computing - An Introduction using Maple and MATLAB

Scientific Computing - An Introduction using Maple and MATLAB
  • Author : Walter Gander,Martin J. Gander,Felix Kwok
  • Publisher :Unknown
  • Release Date :2014-04-23
  • Total pages :905
  • ISBN : 3319043250
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Summary : Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.

Introduction to the Theory of Magnetism

Introduction to the Theory of Magnetism
  • Author : D. Wagner
  • Publisher :Unknown
  • Release Date :2013-10-22
  • Total pages :292
  • ISBN : 1483156680
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Summary : Introduction to the Theory of Magnetism is an introductory text on the theory of magnetism. The discussions are organized around diamagnetism, paramagnetism, and ferromagnetism. The exchange interaction and the resulting many-particle problem for a system of atomic spins are also considered, and the properties of this system are examined in several approximations. This book is comprised of three chapters and begins with a review of the fundamental effects of diamagnetism, paying particular attention to the Bohr-van Leeuwen theorem, the Fermi gas, Landau levels, and cyclotron resonance. The diamagnetism of atoms and ions and of electrons is also described, and the magnetic moment of a free electron gas produced by the intrinsic magnetic moment of the electrons is calculated. The next chapter is devoted to the classical theory of paramagnetism and covers the paramagnetism of free electrons, free atoms (rare earths), and atoms in a crystal. Paramagnetic resonance and the Zeeman effect of free atoms are highlighted. The third and last chapter focuses on ferromagnetism and ferromagnetic resonance, together with the molecular-field approximation, spin waves, high temperatures, and the band model. This monograph will be a valuable resource for students of physics.

Archives neerlandaises des sciences exactes et naturelles

Archives neerlandaises des sciences exactes et naturelles
  • Author : Adriaan Daniël Fokker
  • Publisher :Unknown
  • Release Date :1956
  • Total pages :229
  • ISBN : 09876543XX
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Summary : Contains the physical papers of the Netherlands.

Statistical Thermodynamics

Statistical Thermodynamics
  • Author : Arnold Münster
  • Publisher :Unknown
  • Release Date :1969
  • Total pages :841
  • ISBN : 09876543XX
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Summary :

Radiationless Transitions

Radiationless Transitions
  • Author : Sheng Hsien Lin
  • Publisher :Unknown
  • Release Date :1980
  • Total pages :425
  • ISBN : 09876543XX
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Summary :

Computer Simulation Studies in Condensed-Matter Physics XI

Computer Simulation Studies in Condensed-Matter Physics XI
  • Author : David P. Landau,Heinz-Bernd Schüttler
  • Publisher :Unknown
  • Release Date :1999-05-04
  • Total pages :227
  • ISBN : 9783540655190
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Summary : 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.

Soviet Physics, JETP.

Soviet Physics, JETP.
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1966
  • Total pages :229
  • ISBN : 09876543XX
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Summary :

Equilibrium Statistical Mechanics of Lattice Models

Equilibrium Statistical Mechanics of Lattice Models
  • Author : David A. Lavis
  • Publisher :Unknown
  • Release Date :2015-01-31
  • Total pages :793
  • ISBN : 9401794308
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Summary : Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm—Loewner evolution. Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations. In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef—Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Pad\'e, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideas of scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization. Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.

Soviet Physics

Soviet Physics
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1961
  • Total pages :229
  • ISBN : 09876543XX
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Summary :

The Summary of Engineering Research

The Summary of Engineering Research
  • Author : University of Illinois at Urbana-Champaign. Office of Engineering Publications
  • Publisher :Unknown
  • Release Date :1971
  • Total pages :229
  • ISBN : 09876543XX
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Summary :

Annual Review of Physical Chemistry

Annual Review of Physical Chemistry
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1960
  • Total pages :229
  • ISBN : 09876543XX
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Summary :

Annual Review of Physical Chemistry

Annual Review of Physical Chemistry
  • Author : Gerhard Krohn Rollefson
  • Publisher :Unknown
  • Release Date :1977-10
  • Total pages :570
  • ISBN : 09876543XX
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Summary :

Progress of Theoretical Physics

Progress of Theoretical Physics
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1964
  • Total pages :229
  • ISBN : 09876543XX
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Summary :