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A Method For Studying Model Hamiltonians
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Book Synopsis A Method for Studying Model Hamiltonians by : N. N. Bogolyubov
Download or read book A Method for Studying Model Hamiltonians written by N. N. Bogolyubov and published by Elsevier. This book was released on 2013-10-22 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Method for Studying Model Hamiltonians: A Minimax Principle for Problems in Statistical Physics centers on methods for solving certain problems in statistical physics which contain four-fermion interaction. Organized into four chapters, this book begins with a presentation of the proof of the asymptotic relations for the many-time correlation functions. Chapter 2 details the construction of a proof of the generalized asymptotic relations for the many-time correlation averages. Chapter 3 explains the correlation functions for systems with four-fermion negative interaction. The last chapter shows the model systems with positive and negative interaction components.
Book Synopsis A Method for Studying Model Hamiltonians by : Nikolaĭ Nikolaevich Bogoli͡ubov
Download or read book A Method for Studying Model Hamiltonians written by Nikolaĭ Nikolaevich Bogoli͡ubov and published by . This book was released on 1972 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Method for Studying Model Hamiltonians by :
Download or read book A Method for Studying Model Hamiltonians written by and published by . This book was released on 1972 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Method for Studying Model Hamiltonians by : Nikolaj Nikolaeviď Bogoljubov
Download or read book A Method for Studying Model Hamiltonians written by Nikolaj Nikolaeviď Bogoljubov and published by . This book was released on 1972 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A method for studying model Hamiltonians by : Nikolai Nikolaevich Bogolyubov
Download or read book A method for studying model Hamiltonians written by Nikolai Nikolaevich Bogolyubov and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Operator Theory with a Random Potential, and Some Questions of Statistical Physics by : Viktor Nikolaevich Popov
Download or read book Operator Theory with a Random Potential, and Some Questions of Statistical Physics written by Viktor Nikolaevich Popov and published by American Mathematical Soc.. This book was released on 1991 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection is devoted to problems of operator theory with a random potential and a number of problems of statistical physics. For the Schrodinger operator with a potential randomly depending on time, mean wave operators, and the mean scattering operator are computed, and it is shown that the averaged dynamics behaves like free dynamics in the limit of infinite time. Results of applying the method of functional integration to some problems of statistical physics are presented: the theory of systems with model Hamiltonians and their dynamics, ferromagnetic systems of spin 1/2, Coulomb and quantum crystals. This collection is intended for specialists in spectral theory and statistical physics.
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MA THEMA TICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Book Synopsis Methods of Statistical Physics by : A. I. Akhiezer
Download or read book Methods of Statistical Physics written by A. I. Akhiezer and published by Elsevier. This book was released on 2013-10-22 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Statistical Physics is an exposition of the tools of statistical mechanics, which evaluates the kinetic equations of classical and quantized systems. The book also analyzes the equations of macroscopic physics, such as the equations of hydrodynamics for normal and superfluid liquids and macroscopic electrodynamics. The text gives particular attention to the study of quantum systems. This study begins with a discussion of problems of quantum statistics with a detailed description of the basics of quantum mechanics along with the theory of measurement. An analysis of the asymptotic behavior of universal quantities is also explained. Strong consideration is given to the systems with spontaneously broken system. Theories such as the kinetic theory of gases, the theory of Brownian motion, the theory of the slowing down of neutrons, and the theory of transport phenomena in crystals are discussed. The book will be a useful tool for physicists, mathematicians, students, and researchers in the field of statistical mechanics.
Book Synopsis Theoretical and Mathematical Physics by : Vasiliĭ Sergeevich Vladimirov
Download or read book Theoretical and Mathematical Physics written by Vasiliĭ Sergeevich Vladimirov and published by American Mathematical Soc.. This book was released on 1988 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Mathematics II by : Michele Correggi
Download or read book Quantum Mathematics II written by Michele Correggi and published by Springer Nature. This book was released on 2024-01-09 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics. It is a collection of review papers together with brand new works related to the activities of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)", which took place at the Politecnico di Milano in Spring 2022 at Politecnico di Milano. The range of topics covered by the book is wide, going ranging from many-body quantum mechanics to quantum field theory and open quantum systems.
Book Synopsis Theory of Critical Phenomena in Finite-size Systems by : ?ordan Brankov
Download or read book Theory of Critical Phenomena in Finite-size Systems written by ?ordan Brankov and published by World Scientific. This book was released on 2000 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects arising due to highly correlated classical or quantum fluctuations is explained by the finite-size scaling theory. This theory (1) offers an interpretation of experimental results on finite-size effects in real systems; (2) gives the most reliable tool for extrapolation to the thermodynamic limit of data obtained by computer simulations; (3) reveals the intimate mechanism of how the critical singularities build up in the thermodynamic limit; and (4) can be fruitfully used to explain the low-temperature behaviour of quantum critical systems. The exposition is given in a self-contained form which presumes the reader's knowledge only in the framework of standard courses on the theory of phase transitions and critical phenomena. The instructive role of simple models, both classical and quantum, is demonstrated by putting the accent on the derivation of rigorous and exact analytical results.
Book Synopsis Problems of Linear Electron (Polaron) Transport Theory in Semiconductors by : M. I. Klinger
Download or read book Problems of Linear Electron (Polaron) Transport Theory in Semiconductors written by M. I. Klinger and published by Elsevier. This book was released on 2017-05-04 with total page 950 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems of Linear Electron (Polaron) Transport Theory in Semiconductors summarizes and discusses the development of areas in electron transport theory in semiconductors, with emphasis on the fundamental aspects of the theory and the essential physical nature of the transport processes. The book is organized into three parts. Part I focuses on some general topics in the theory of transport phenomena: the general dynamical theory of linear transport in dissipative systems (Kubo formulae) and the phenomenological theory. Part II deals with the theory of polaron transport in a crystalline semiconductor. The last part contains a critical account of electron transport in disordered systems, including amorphous substances, with allowance for polaron effects.
Book Synopsis Lectures on the Theory of the Nucleus by : A. G. Sitenko
Download or read book Lectures on the Theory of the Nucleus written by A. G. Sitenko and published by Elsevier. This book was released on 2014-06-28 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an advanced and up-to-date account of the theory of nuclear structure and discusses in considerable detail both the superfluid and collective models of the nucleus, in addition to earlier complementary models and theories. The book also examines other important topics such as the rotational and vibrational spectra of nuclei which have not previously been treated in such depth. To summarize, it covers a large amount of theoretical ground in one volume and attempts to fill a serious gap in the literature. Many problems are included
Book Synopsis Non-cooperative Equilibria of Fermi Systems with Long Range Interactions by : Jean-Bernard Bru
Download or read book Non-cooperative Equilibria of Fermi Systems with Long Range Interactions written by Jean-Bernard Bru and published by American Mathematical Soc.. This book was released on 2013-06-28 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and make explicit the structure of (generalized) equilibrium states for any $\mathfrak{m}\in \mathcal{M}_{1}$. In particular, the authors give a first answer to an old open problem in mathematical physics--first addressed by Ginibre in 1968 within a different context--about the validity of the so-called Bogoliubov approximation on the level of states. Depending on the model $\mathfrak{m}\in \mathcal{M}_{1}$, the authors' method provides a systematic way to study all its correlation functions at equilibrium and can thus be used to analyze the physics of long range interactions. Furthermore, the authors show that the thermodynamics of long range models $\mathfrak{m}\in \mathcal{M}_{1}$ is governed by the non-cooperative equilibria of a zero-sum game, called here thermodynamic game.
Book Synopsis The Pseudo-Spin Method in Magnetism and Ferroelectricity by : Ljubisav Novaković
Download or read book The Pseudo-Spin Method in Magnetism and Ferroelectricity written by Ljubisav Novaković and published by Elsevier. This book was released on 2013-10-22 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pseudo-Spin Method in Magnetism and Ferroelectricity deals with the pseudo-spin method in magnetism and ferroelectricity, with emphasis on three important ordered systems: ferromagnets, antiferromagnets, and hydrogen-bonded ferroelectrics. Each system is analyzed in three important temperature regions: low temperatures, the critical region, and high temperatures. The presented mathematical method is predominantly analytical in the sense that all crucial physical quantities are expressed in terms of temperature or the reciprocal lattice vectors. Comprised of four chapters, this volume begins with an introduction to Basic concepts in lattice dynamics, touching on topics such as symmetry groups, light scattering, and the spectrum of ionic crystals. The discussion then turns to phase transitions and covers magnetism, ferroelectricity, and the Ising model with a transverse field. Magnetic elementary excitations are then considered, paying particular attention to the second quantization method; the exchange interaction; the Heisenberg ferromagnet in a boson representation; and high-temperature static susceptibility. The final chapter is devoted to the Green functions and their perturbation expansion; ferromagnetism at low temperatures; antiferromagnetism and ferroelectric modes; and high-temperature dielectric susceptibilities. This book will be of interest to physicists as well as students and researchers in physics.
Book Synopsis Introduction to Elementary Particle Theory by : Yu. V. Novozhilov
Download or read book Introduction to Elementary Particle Theory written by Yu. V. Novozhilov and published by Elsevier. This book was released on 2013-10-22 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Elementary Particle Theory details the fundamental concepts and basic principles of the theory of elementary particles. The title emphasizes on the phenomenological foundations of relativistic theory and to the strong interactions from the S-matrix standpoint. The text first covers the basic description of elementary particles, and then proceeds to tackling relativistic quantum mechanics and kinematics. Next the selection deals with the problem of internal symmetry. In the last part, the title details the elements of dynamical theory. The book will be of great use to students and researchers in the field of particle physics.
Book Synopsis Introduction to Quantum Statistical Mechanics by : N. N. Bogolubov, Jr.
Download or read book Introduction to Quantum Statistical Mechanics written by N. N. Bogolubov, Jr. and published by World Scientific. This book was released on 2010 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Quantum Statistical Mechanics (2nd Edition) may be used as an advanced textbook by graduate students, even ambitious undergraduates in physics. It is also suitable for non experts in physics who wish to have an overview of some of the classic and fundamental quantum models in the subject. The explanation in the book is detailed enough to capture the interest of the reader, and complete enough to provide the necessary background material needed to dwell further into the subject and explore the research literature.
