Course of Theoretical Physics

Author: L. D. Landau
Publisher: Elsevier
ISBN: 9781483103372
Release Date: 2013-10-22
Genre: Science

Statistical Physics, Third Edition, Part 1: Course of Theoretical Physics, Volume 5 is a 15-chapter text that covers some theoretical physics-related topics, including thermodynamics, ideal gases, phase equilibrium, and chemical reactions. This volume deals with the properties of gases, the thermodynamics of a degenerate plasma, liquid crystals, the fluctuation theory of phase transitions, and critical phenomena. Other chapters discuss the topics of solids, symmetry of crystals, and the theory of rreducible representations of space groups as applied to physics of the crystal state. This volume also explores the fluctuation-dissipation theorem; the Fermi and Bose distributions; non-ideal gases; phase equilibrium; and solutions. This book is of great value to theoretical physicists, researchers, and students.

Fluid Mechanics

Author: L D Landau
Publisher: Elsevier
ISBN: 9781483161044
Release Date: 2013-09-03
Genre: Technology & Engineering

Fluid Mechanics, Second Edition deals with fluid mechanics, that is, the theory of the motion of liquids and gases. Topics covered range from ideal fluids and viscous fluids to turbulence, boundary layers, thermal conduction, and diffusion. Surface phenomena, sound, and shock waves are also discussed, along with gas flow, combustion, superfluids, and relativistic fluid dynamics. This book is comprised of 16 chapters and begins with an overview of the fundamental equations of fluid dynamics, including Euler's equation and Bernoulli's equation. The reader is then introduced to the equations of motion of a viscous fluid; energy dissipation in an incompressible fluid; damping of gravity waves; and the mechanism whereby turbulence occurs. The following chapters explore the laminar boundary layer; thermal conduction in fluids; dynamics of diffusion of a mixture of fluids; and the phenomena that occur near the surface separating two continuous media. The energy and momentum of sound waves; the direction of variation of quantities in a shock wave; one- and two-dimensional gas flow; and the intersection of surfaces of discontinuity are also also considered. This monograph will be of interest to theoretical physicists.

A Course in Theoretical Physics

Author: P. John Shepherd
Publisher: John Wiley & Sons
ISBN: 9781118516928
Release Date: 2013-01-10
Genre: Science

This book is a comprehensive account of five extended modulescovering the key branches of twentieth-century theoretical physics,taught by the author over a period of three decades to students onbachelor and master university degree courses in both physics andtheoretical physics. The modules cover nonrelativistic quantum mechanics, thermal andstatistical physics, many-body theory, classical field theory(including special relativity and electromagnetism), and, finally,relativistic quantum mechanics and gauge theories of quark andlepton interactions, all presented in a single, self-containedvolume. In a number of universities, much of the material covered (forexample, on Einstein’s general theory of relativity, on theBCS theory of superconductivity, and on the Standard Model,including the theory underlying the prediction of the Higgs boson)is taught in postgraduate courses to beginning PhD students. A distinctive feature of the book is that full, step-by-stepmathematical proofs of all essential results are given, enabling astudent who has completed a high-school mathematics course and thefirst year of a university physics degree course to understand andappreciate the derivations of very many of the most importantresults of twentieth-century theoretical physics.

A Course in Mathematical Physics 2

Author: Walter Thirring
Publisher: Springer
ISBN: 9781441987624
Release Date: 2014-07-08
Genre: Science

In the past decade the language and methods ofmodern differential geometry have been increasingly used in theoretical physics. What seemed extravagant when this book first appeared 12 years ago, as lecture notes, is now a commonplace. This fact has strengthened my belief that today students of theoretical physics have to learn that language-and the sooner the better. Afterall, they willbe the professors ofthe twenty-first century and it would be absurd if they were to teach then the mathematics of the nineteenth century. Thus for this new edition I did not change the mathematical language. Apart from correcting some mistakes I have only added a section on gauge theories. In the last decade it has become evident that these theories describe fundamental interactions, and on the classical level their structure is suffi cientlyclear to qualify them for the minimum amount ofknowledge required by a theoretician. It is with much regret that I had to refrain from in corporating the interesting developments in Kaluza-Klein theories and in cosmology, but I felt bound to my promise not to burden the students with theoretical speculations for which there is no experimental evidence. I am indebted to many people for suggestions concerning this volume. In particular, P. Aichelburg, H. Rumpf and H. Urbantke have contributed generously to corrections and improvements. Finally, I would like to thank Dr. 1. Dahl-Jensen for redoing some of the figures on the computer.

A Course in Mathematical Physics 3

Author: Walter Thirring
Publisher: Springer Science & Business Media
ISBN: 9783709175231
Release Date: 2013-11-11
Genre: Science

In this third volume of A Course in Mathematical Physics I have attempted not simply to introduce axioms and derive quantum mechanics from them, but also to progress to relevant applications. Reading the axiomatic litera ture often gives one the impression that it largely consists of making refined axioms, thereby freeing physics from any trace of down-to-earth residue and cutting it off from simpler ways of thinking. The goal pursued here, however, is to come up with concrete results that can be compared with experimental facts. Everything else should be regarded only as a side issue, and has been chosen for pragmatic reasons. It is precisely with this in mind that I feel it appropriate to draw upon the most modern mathematical methods. Only by their means can the logical fabric of quantum theory be woven with a smooth structure; in their absence, rough spots would . inevitably appear, especially in the theory of unbounded operators, where the details are too intricate to be comprehended easily. Great care has been taken to build up this mathematical weaponry as completely as possible, as it is also the basic arsenal of the next volume. This means that many proofs have been tucked away in the exercises. My greatest concern was to replace the ordinary cal culations of uncertain accuracy with better ones having error bounds, in order to raise the crude manners of theoretical physics to the more cultivated level of experimental physics.

From Special Relativity to Feynman Diagrams

Author: Riccardo D'Auria
Publisher: Springer Science & Business Media
ISBN: 9788847015043
Release Date: 2011-09-28
Genre: Science

The first two chapters of the book deal, in a detailed way, with relativistic kinematics and dynamics, while in the third chapter some elementary concepts of General Relativity are given. Eventually, after an introduction to tensor calculus, a Lorentz covariant formulation of electromagnetism is given its quantization is developed. For a proper treatment of invariance and conservation laws in physics, an introductory chapter on group theory is given. This introduction is propedeutical to the discussion of conservation laws in the Lagrangian and Hamiltonian formalism, which will allow us to export this formalism to quantum mechanics and, in particular, to introduce linear operators on quantum states and their transformation laws. In the last part of the book we analyze, in the first quantized formalism, relativistic field theory for both boson and fermion fields. The second quantization of free fields is then introduced and some preliminary concepts of perturbation theory and Feynmann diagrams are given and some relevant examples are worked out.

Lehrbuch der Mathematischen Physik

Author: Walter Thirring
Publisher: Springer-Verlag
ISBN: 9783709166468
Release Date: 2013-03-07
Genre: Science

In der Quantentheorie werden Observable durch Operatoren im Hilbert-Raum dargestellt. Der dafür geeignete mathematische Rahmen sind die Cx - Algebren, welche Matrizen und komplexe Funktionen verallgemeinern. Allerdings benötigt man in der Physik auch unbeschränkte Operatoren, deren Problematik eigens untersucht werden muß. Dementsprechend werden zunächst mathematische Fragen studiert und dann die Methoden auf atomare Systeme angewandt. Obgleich man außer dem Wasserstoffatom kaum explizit lösbare Probleme findet, lassen sich nicht nur allgemeine qualitative Fragen, etwa bezüglich des Energiespektrums und Streuverhaltens, beantworten, sondern auch quantitativ kann man auch für kompliziertere Systeme für meßbare Größen Schranken teils befriedigender Genauigkeit finden. Inhaltsverzeichnis: Einleitung: Die Struktur der Quantentheorie; Größenordnungen atomarer Systeme.- Die mathematische Formulierung der Quantenmechanik: Lineare Räume; Algebren; Darstellungen im Hilbertraum; Einparametrige Gruppen; Unbeschränkte Operatoren und quadratische Formen.- Quantendynamik: Das Weyl-System; Der Drehimpuls; Die Zeitentwicklung; Der Limes t ; Störungstheorie; Stationäre Streutheorie.- Atomare Systeme: Das Wasserstoffatom; Das H-Atom in äußeren Feldern; Heliumartige Atome; Streuung am einfachen Atom; Komplexe Atome; Kernbewegung und einfache Moleküle.

Grundkurs Theoretische Physik 1

Author: Wolfgang Nolting
Publisher: Springer-Verlag
ISBN: 9783642299377
Release Date: 2012-09-05
Genre: Science

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.