Download or read book Measurements and Correlation Functions written by Paul Cecil Martin and published by CRC Press. This book was released on 1968 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Inverse Scattering Method and Correlation Functions written by V. E. Korepin and published by Cambridge University Press. This book was released on 1997-03-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Go rdon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians.The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results.The book will be essential reading for all mathematical physicists working in field theory and statistical physics.
Download or read book Correlation Functions and Quasiparticle Interactions in Condensed Matter written by J.W. Halley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a NATO Advanced Study Institute devoted to the study of dynamical correlation functions of the form (I) J~e-lwtA(O)B(O)A(t)B(t»dt where A and B are physical operations in the Heisenberg representa tion and -~ Tr(e ••• )
Download or read book Multivariate Characteristic and Correlation Functions written by Zoltán Sasvári and published by Walter de Gruyter. This book was released on 2013-03-22 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness. Many results in probability theory, mathematical statistics and stochastic processes can be derived by using these functions. While there are books on characteristic functions of one variable, books devoting some sections to the multivariate case, and books treating the general case of locally compact groups, interestingly there is no book devoted entirely to the multidimensional case which is extremely important for applications. This book is intended to fill this gap at least partially. It makes the basic concepts and results on multivariate characteristic and correlation functions easily accessible to both students and researchers in a comprehensive manner. The first chapter presents basic results and should be read carefully since it is essential for the understanding of the subsequent chapters. The second chapter is devoted to correlation functions, their applications to stationary processes and some connections to harmonic analysis. In Chapter 3 we deal with several special properties, Chapter 4 is devoted to the extension problem while Chapter 5 contains a few applications. A relatively large appendix comprises topics like infinite products, functional equations, special functions or compact operators.
Download or read book Algebraic Bethe Ansatz And Correlation Functions An Advanced Course written by Nikita Slavnov and published by World Scientific. This book was released on 2022-05-12 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is unlikely that today there is a specialist in theoretical physics who has not heard anything about the algebraic Bethe ansatz. Over the past few years, this method has been actively used in quantum statistical physics models, condensed matter physics, gauge field theories, and string theory.This book presents the state-of-the-art research in the field of algebraic Bethe ansatz. Along with the results that have already become classic, the book also contains the results obtained in recent years. The reader will get acquainted with the solution of the spectral problem and more complex problems that are solved using this method. Various methods for calculating scalar products and form factors are described in detail. Special attention is paid to applying the algebraic Bethe ansatz to the calculation of the correlation functions of quantum integrable models. The book also elaborates on multiple integral representations for correlation functions and examples of calculating the long-distance asymptotics of correlations.This text is intended for advanced undergraduate and postgraduate students, and specialists interested in the mathematical methods of studying physical systems that allow them to obtain exact results.
Download or read book The Correlation Function of Type A and the Regression of Its Characteristics written by Sven Dag Wicksell and published by . This book was released on 1917 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Correlation Theory of Stationary and Related Random Functions written by A.M. Yaglom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Correlation Theory of Stationary and Related Random Functions is an elementary introduction to the most important part of the theory dealing only with the first and second moments of these functions. This theory is a significant part of modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series which are so important in many areas of engineering and other applications. This book presents the theory in such a way that it can be understood by readers without specialized mathematical backgrounds, requiring only the knowledge of elementary calculus. The first volume in this two-volume exposition contains the main theory; the supplementary notes and references of the second volume consist of detailed discussions of more specialized questions, some more additional material (which assumes a more thorough mathematical background than the rest of the book) and numerous references to the extensive literature.
Download or read book An Introduction to Fluorescence Correlation Spectroscopy written by Thorsten Wohland and published by Myprint. This book was released on 2020-11-05 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Fluorescence Correlation Spectroscopy represents a comprehensive introduction to fluorescence correlation spectroscopy (FCS), a biophysical experimental technique increasingly used to study and quantify molecular mobility, concentrations and interactions in vitro, as well as in living cells and multicellular organisms. Students and researchers who are new to FCS can use the book as the first introduction to the technique, while those who are already using FCS regularly in their research may find it useful to deepen their understanding of the technique, its possibilities, limitations, and potential pitfalls as well as ways to avoid them. This book introduces the reader to all aspects of FCS needed for practical usage of the technique in their research. In the beginning the concept of fluorescence intensity fluctuations and their auto- and cross-correlation functions are explained to give readers an understanding of the underlying principles. This is followed by an overview of instrumental FCS setups and various ways of data collection and processing, the derivations of theoretical models relating the experimentally obtained correlation functions to the underlying molecular processes, and the description of the fitting of experimental data with those models. Mathematically more involved portions are separated from the rest of the text and can be easily skipped by readers more interested in the conceptual and practical aspects of FCS. The book contains interactive graphics and is accompanied by an interactive computable document file allowing the reader to test the dependence of FCS results on a variety of experimental parameters, and to gain practical insights into FCS data fitting. Key Features Introduces the concepts of FCS in an accessible way, supported by animations and graphics in the ebook. Includes a supplementary interactive computable document file that allows the reader to experiment with various FCS setup and fit parameters, allowing readers to test their understanding and simulate experimental outcomes. Provides rigorous mathematical derivations of fundamental FCS equations and models. Pedagogical features include questions, short reviews and critical discussions of literature relevant to the particular chapter that include applications and fundamental developments in the field of FCS.
Download or read book Introduction to Statistical Mechanics written by S. K. Sinha and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the basic law of statistical physics and their applications to a range of interesting problems. In this title, the basic principles of equilibrium statistical mechanics are clearly formulated and applied to specific examples of ideal gases and interacting systems to bring out their strength and scope.
Download or read book Theory of Simple Liquids written by Jean-Pierre Hansen and published by Elsevier. This book was released on 2006-02-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of Theory of Simple Liquids is an updated, advanced, but self-contained introduction to the principles of liquid-state theory. It presents the modern, molecular theory of the structural, thermodynamic interfacial and dynamical properties of the liquid phase of materials constituted of atoms, small molecules or ions. This book leans on concepts and methods form classical Statistical Mechanics in which theoretical predictions are systematically compared with experimental data and results from numerical simulations. The overall layout of the book is similar to that of the previous two editions however, there are considerable changes in emphasis and several key additions including:•up-to-date presentation of modern theories of liquid-vapour coexistence and criticality•areas of considerable present and future interest such as super-cooled liquids and the glass transition•the area of liquid metals, which has grown into a mature subject area, now presented as part of the chapter ionic liquids•Provides cutting-edge research in the principles of liquid-state theory•Includes frequent comparisons of theoretical predictions with experimental and simulation data•Suitable for researchers and post-graduates in the field of condensed matter science (Physics, Chemistry, Material Science), biophysics as well as those in the oil industry
Download or read book Hydrodynamic Fluctuations Broken Symmetry And Correlation Functions written by Dieter Forster and published by CRC Press. This book was released on 2018-03-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: "The purpose of this book is to present and apply a language and to discuss methods which make it very convenient to exploit such analogies, and which are uniquely suited to describe and explain non-equilibrium phenomena in a rich variety of many-particle systems: the language of time correlation functions and linear response theory."
Download or read book Transport Coefficients of Fluids written by Byung Chan Eu and published by Springer Science & Business Media. This book was released on 2006-09-08 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the density ?uctuation theory of transport coe?cients of simple and complex liquids is described together with the kinetic theory of liquids, the generic van der Waals equation of state, and the modi?ed free volume theory. The latter two theories are integral parts of the density ?- tuation theory, which enables us to calculate the density and temperature dependence of transport coe?cients of liquids from intermolecular forces. The terms nanoscience and bioscience are the catch phrases currently in fashion in science. It seems that much of the fundamentals remaining unsolved or poorly understood in the science of condensed matter has been overshadowed by the frenzy over the more glamorous disciplines of the former, shunned by novices, and are on the verge of being forgotten. The transport coe?cients of liquids and gases and related thermophysical properties of matter appear to be one such area in the science of macroscopic properties of molecular systems and statisticalmechanicsofcondensedmatter. Evennano-andbiomaterials,h- ever, cannot be fully and appropriately understood without ?rm grounding and foundations in the macroscopic and molecular theories of transport pr- ertiesandrelatedthermophysicalpropertiesofmatterinthecondensedphase. Oneisstilldealingwithsystemsmadeupofnotafewparticlesbutamultitude of them, often too many to count, to call them few-body problems that can be understoodwithoutthehelpofstatisticalmechanicsandmacroscopicphysics. In the density ?uctuation theory of transport coe?cients, the basic approach taken is quite di?erent from the approaches taken in the conventional kinetic theories of gases and liquids.
Download or read book Problems in Probability Theory Mathematical Statistics and Theory of Random Functions written by A. A. Sveshnikov and published by Courier Corporation. This book was released on 2012-04-30 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.
Download or read book AdS CFT Correspondence written by Olivier Biquard and published by European Mathematical Society. This book was released on 2005 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its discovery in 1997 by Maldacena, AdS/CFT correspondence has become one of the prime subjects of interest in string theory, as well as one of the main meeting points between theoretical physics and mathematics. On the physical side, it provides a duality between a theory of quantum gravity and a field theory. The mathematical counterpart is the relation between Einstein metrics and their conformal boundaries. The correspondence has been intensively studied, and a lot of progress emerged from the confrontation of viewpoints between mathematics and physics. Written by leading experts and directed at research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of this important area both in theoretical physics and in mathematics. It contains survey articles giving a broad overview of the subject and of the main questions, as well as more specialized articles providing new insight both on the Riemannian side and on the Lorentzian side of the theory.
Download or read book Maximum Entropy and Bayesian Methods written by Kenneth M. Hanson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Fifteenth International Workshop on Maximum Entropy and Bayesian Methods, Santa Fe, New Mexico, USA, 1995
Download or read book Modeling in Fluid Mechanics written by Igor Gaissinski and published by CRC Press. This book was released on 2018-06-13 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to modeling in fluid mechanics and is divided into four chapters, which contain a significant number of useful exercises with solutions. The authors provide relatively complete references on relevant topics in the bibliography at the end of each chapter.
Download or read book Interacting Electrons written by Richard M. Martin and published by Cambridge University Press. This book was released on 2016-06-30 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets out modern methods of computing properties of materials, including essential theoretical background, computational approaches, practical guidelines and instructive applications.
