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Author: Wolfgang Nolting
Publisher: Springer
ISBN: 3319983261
Category : Science
Languages : en
Pages : 695
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Book Description
This textbook addresses the special physics of many-particle systems, especially those dominated by correlation effects. It develops modern methods to treat such systems and demonstrates their application through numerous appropriate exercises, mainly from the field of solid state physics. The book is written in a tutorial style appropriate for those who want to learn many-body theory and eventually to use this to do research work in this field. The exercises, together with full solutions for evaluating one's performance, help to deepen understanding of the main aspects of many-particle systems. This revised second edition presents new sections on the finite-temperature Matsubara formalism, in particular with respect to Dyson equation, the Hartree-Fock approximation, second order perturbation theory, spin density waves, Hubbard model, Jellium model, quasi particles, Fermi liquids and multi particle Matsubara functions. Completing the outstanding Theoretical Physics series, this book will be a valuable resource for advanced students and researchers alike.
Author: Wolfgang Nolting
Publisher: Springer
ISBN: 3319983261
Category : Science
Languages : en
Pages : 695
Get Book Here
Book Description
This textbook addresses the special physics of many-particle systems, especially those dominated by correlation effects. It develops modern methods to treat such systems and demonstrates their application through numerous appropriate exercises, mainly from the field of solid state physics. The book is written in a tutorial style appropriate for those who want to learn many-body theory and eventually to use this to do research work in this field. The exercises, together with full solutions for evaluating one's performance, help to deepen understanding of the main aspects of many-particle systems. This revised second edition presents new sections on the finite-temperature Matsubara formalism, in particular with respect to Dyson equation, the Hartree-Fock approximation, second order perturbation theory, spin density waves, Hubbard model, Jellium model, quasi particles, Fermi liquids and multi particle Matsubara functions. Completing the outstanding Theoretical Physics series, this book will be a valuable resource for advanced students and researchers alike.
Author: Wolfgang Nolting
Publisher: Springer Science & Business Media
ISBN: 354071930X
Category : Science
Languages : en
Pages : 607
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Book Description
The goal of the present course on “Fundamentals of Theoretical Physics” is to be a direct accompaniment to the lower-division study of physics, and it aims at providing the ph- ical tools in the most straightforward and compact form as needed by the students in order to master theoretically more complex topics and problems in advanced studies and in research. The presentation is thus intentionally designed to be suf?ciently detailed and self-contained – sometimes, admittedly, at the cost of a certain elegance – to permit in- vidual study without reference to the secondary literature. This volume deals with the quantum theory of many-body systems. Building upon a basic knowledge of quantum mechanics and of statistical physics, modern techniques for the description of interacting many-particle systems are developed and applied to various real problems, mainly from the area of solid-state physics. A thorough revision should guarantee that the reader can access the relevant research literature without experiencing major problems in terms of the concepts and vocabulary, techniques and deductive methods found there. The world which surrounds us consists of very many particles interacting with one another, and their description requires in principle the solution of a corresponding number ofcoupledquantum-mechanicalequationsofmotion(Schrodinger ̈ equations),which,h- ever, is possible only in exceptional cases in a mathematically strict sense. The concepts of elementary quantum mechanics and quantum statistics are therefore not directly applicable in the form in which we have thus far encountered them. They require an extension and restructuring, which is termed “many-body theory”.
Author: Wolfgang Nolting
Publisher: Springer
ISBN: 3319401084
Category : Science
Languages : de
Pages : 540
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Book Description
Der Grundkurs Theoretische Physik deckt in sieben Bänden alle für Diplom- und Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester nötige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Band 1 behandelt die klassische Mechanik. Vorausgesetzt wird nur die übliche Schulmathematik, andere mathematische Hilfsmittel werden zu Beginn ausführlich erläutert. Die zweifarbig gestaltete Neuauflage wurde grundlegend überarbeitet und ergänzt.
Author: Armin Wachter
Publisher: Springer Science & Business Media
ISBN: 0387257993
Category : Science
Languages : en
Pages : 530
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Book Description
The Compendium of Theoretical Physics contains the canonical curriculum of theoretical physics. From classical mechanics over electrodynamics, quantum mechanics and statistical physics/thermodynamics, all topics are treated axiomatic-deductively and confimed by exercises, solutions and short summaries.
Author: L D Landau
Publisher: Elsevier
ISBN: 0080503470
Category : Science
Languages : en
Pages : 199
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Book Description
Devoted to the foundation of mechanics, namely classical Newtonian mechanics, the subject is based mainly on Galileo's principle of relativity and Hamilton's principle of least action. The exposition is simple and leads to the most complete direct means of solving problems in mechanics.The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted.
Author: Alladi Ramakrishnan
Publisher: Springer Science & Business Media
ISBN: 1468476734
Category : Science
Languages : en
Pages : 280
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Book Description
This volume represents the proceedings of the Sixth Anniversary MATSCIENCE Symposium on Theoretical Physics held in January 1968 as well as the Seminar in Analysis held earlier, in December 1967. A new feature of this volume is that it includes also contributions dealing with applications of mathematics to domains other than theoretical physics. Accordingly, the volume is divided into three parts-Part I deals with theoretical physics, Part II with applications of mathematical methods, and Part III with pure mathematics. The volume begins with a contribution from Okubo who proposed a new scheme to explain the CP puzzle by invoking the intermediate vector bosons. Gordon Shaw from Irvine dealt with the crucial importance of the effects of CDD poles in partial wave dispersion relations in dynamical calculation of resonances. Applications of current algebra and quark models were considered in the papers of Divakaran, Ramachandran, and Rajasekharan. Dubin presented a rigorous formulation of the Heisenberg ferromagnet.
Author: Gerald D. Mahan
Publisher: Springer Science & Business Media
ISBN: 1461314690
Category : Science
Languages : en
Pages : 1042
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Book Description
This textbook is for a course in advanced solid-state theory. It is aimed at graduate students in their third or fourth year of study who wish to learn the advanced techniques of solid-state theoretical physics. The method of Green's functions is introduced at the beginning and used throughout. Indeed, it could be considered a book on practical applications of Green's functions, although I prefer to call it a book on physics. The method of Green's functions has been used by many theorists to derive equations which, when solved, provide an accurate numerical description of many processes in solids and quantum fluids. In this book I attempt to summarize many of these theories in order to show how Green's functions are used to solve real problems. My goal, in writing each section, is to describe calculations which can be compared with experiments and to provide these comparisons whenever available. The student is expected to have a background in quantum mechanics at the level acquired from a graduate course using the textbook by either L. I. Schiff, A. S. Davydov, or I. Landau and E. M. Lifshiftz. Similarly, a prior course in solid-state physics is expected, since the reader is assumed to know concepts such as Brillouin zones and energy band theory. Each chapter has problems which are an important part of the lesson; the problems often provide physical insights which are not in the text. Sometimes the answers to the problems are provided, but usually not.
Author: Rudolf Ernst Peierls
Publisher: Princeton University Press
ISBN: 9780691082424
Category : Science
Languages : en
Pages : 180
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Book Description
Problems in theoretical physics often lead to paradoxical answers; yet closer reasoning and a more complete analysis invariably lead to the resolution of the paradox and to a deeper understanding of the physics involved. Drawing primarily from his own experience and that of his collaborators, Sir Rudolf Peierls selects examples of such "surprises" from a wide range of physical theory, from quantum mechanical scattering theory to the theory of relativity, from irreversibility in statistical mechanics to the behavior of electrons in solids. By studying such surprises and learning what kind of possibilities to look for, he suggests, scientists may be able to avoid errors in future problems. In some cases the surprise is that the outcome of a calculation is contrary to what physical intuition seems to demand. In other instances an approximation that looks convincing turns out to be unjustified, or one that looks unreasonable turns out to be adequate. Professor Peierls does not suggest, however, that theoretical physics is a hazardous game in which one can never foresee the surprises a detailed calculation might reveal. Rather, he contends, all the surprises discussed have rational explanations, most of which are very simple, at least in principle. This book is based on the author's lectures at the University of Washington in the spring of 1977 and at the Institut de Physique Nucleaire, University de Paris-Sud, Orsay, during the winter of 1977-1978.
Author: Albrecht Lindner
Publisher: Springer
ISBN: 3030043606
Category : Science
Languages : de
Pages : 638
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Book Description
Kompakt und verständlich führt dieses Lehrbuch in die Grundlagen der theoretischen Physik ein. Dabei werden die üblichen Themen der Grundvorlesungen Mechanik, Elektrodynamik, Relativitätstheorie, Quantenmechanik , Thermodynamik und Statistik in einem Band zusammengefasst, um den Zusammenhang zwischen den einzelnen Teilgebieten besonders zu betonen. Ein Kapitel mit mathematischen Grundlagen der Physik erleichtert den Einstieg. Zahlreiche Übungsaufgaben dienen der Vertiefung des Stoffes.
Author: Georg Joos
Publisher: Courier Corporation
ISBN: 0486318532
Category : Science
Languages : en
Pages : 928
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Book Description
Classic treatise covers mathematical topics needed by theoretical and experimental physicists (vector analysis, calculus of variations, etc.), followed by coverage of mechanics, electromagnetic theory, thermodynamics, quantum mechanics, and nuclear physics.
