• формат djvu
  • размер 3.1 МБ
  • добавлен 19 февраля 2011 г.
Thaller B. The Dirac Equation
Springer, 1992. - 380 Pages.

The Dirac Equation is a mode presentation of the relativistic quantum mechanics of electrons intended to make new mathematical results accessible to a wider audience. It treats in some depth the relativistic invariance of a quantum theory, self-adjointness and spectral theory, qualitative features of relativistic bound and scattering states, and the exteal field problem in quantum electrodynamics, without neglecting the interpretational difficulties and limitations of the theory. A novel feature is the extensive use of supersymmetric quantum mechanics in the discussions of, e.g. the nonrelativistic limit, Fredholm and Witten indices, the relativistic Coulomb problem, particles with anomalous moments, behaviour in the presence of magnetic fields, and soliton theory. The book is aimed at scientists and graduate students interested in quantum mechanics who want to lea about the mathematical foundations, the physical interpretation and important applications of Dirac's electron theory.

Смотрите также

Boudet R. Quantum Mechanics in the Geometry of Space-Time: Elementary Theory

  • формат pdf
  • размер 1.5 МБ
  • добавлен 11 октября 2011 г.
Sрringer, 2011, 131 pages | This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real space-time algebra, thus revealing a geometric meaning for the number i in quantum mechanics. Next, it is examined in some detail how electroweak theory can be inte...

Das A. Lectures on Gravitation

  • формат pdf
  • размер 1.39 МБ
  • добавлен 13 ноября 2011 г.
World Scientific Publishing, 2011, 338 pages This book is a compilation of the lectures for a one-semester course on gravitation at the University of Rochester. Starting from a simple description of geometry, the topics are systematically developed to the big bang theory with a simple derivation of the cosmic background temperature. Several informative examples are worked out in detail as well. Basics of geometry and relativity Relativistic d...

De Forcrand P., Troyer M. Computational Quantum Physics

  • формат pdf
  • размер 1.42 МБ
  • добавлен 29 января 2012 г.
ETH Zurich, 2008, 101p. This issue will learn how to simulate quantum systems, starting from the simple one-dimensional Schrodinger equation to simulations of interacting quantum many body problems in condensed matter physics and in quantum field theories. Study: The one-body Schrodinger equation and its numerical solution The many-body Schrodinger equation and second quantization Approximate solutions to the many body Schrodinger equation Pa...

Eschrig H. The Fundamentals of Density Functional Theory

  • формат djvu
  • размер 2.29 МБ
  • добавлен 24 июня 2011 г.
B. G. Teubner Verlagsgesellschaft Stuttgart- Leipzig, 1996. - 204 p. This regular series includes the presentation of recent research developments of strong interest as well as comprehensive treatments of important selected topics of physics. One of the aims is to make new results of research available to graduate students and younger scientists, and moreover to all people who like to widen their scope and inform themselves about new developments...

Greiner W., Bromley D.A. Relativistic Quantum Mechanics. Wave Equations

  • формат djvu
  • размер 4.06 МБ
  • добавлен 20 января 2011 г.
Springer, 2000. - 424 Pages. Relativistic Quantum Mechanics. Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. Chapter 1 deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two...

Leray J. Lagrangian Analysis and Quantum Mechanics: A Mathematical Structure Related to Asymptotic Expansions and the Maslov Index

  • формат pdf
  • размер 2.35 МБ
  • добавлен 05 января 2012 г.
MIT Press, 1981, 271 pages The book develops the mathematical apparatus of Maslov's lagrangian ayalysis conceptions. This work might have been entitled The Introduction of Planck's Constant into Mathematics, in that it introduces quantum conditions in a purely mathematical way in order to remove the singularities that arise in obtaining approximations to solutions of complex differential equations. The book's first chapter develops the necess...

Radovanovic V. Problem Book in Quantum Field Theory

  • формат pdf
  • размер 1.28 МБ
  • добавлен 09 декабря 2011 г.
Springer, 2008, 243 p., 2 ed. The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordon and Dirac equations, classical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and...

Shankar R. Principles of Quantum Mechanics

  • формат djvu
  • размер 3.89 МБ
  • добавлен 24 июня 2011 г.
2nd ed. - Springer, 1994. - 694 pages. Reviews from the First Edition: "An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner. " (American Scientist) "No matter how gently one introduces students to the concept of Dirac’s bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is no...

Van der Waerden B.L. Group Theory and Quantum Mechanics

  • формат djvu
  • размер 4.44 МБ
  • добавлен 24 июня 2011 г.
Springer-Verlag, 1974. - 211 pages. Van der Waerden wrote this book in 1932, about the same epoch of Hermann Weyl's book on group theory, in German. After a staggering gap of 42 (! ) years, he prepared this second edition, this time in English. It's probably the cleanest and most rigorous exposition of group theory ever made "for physicists". The quotes were needed because van der Waerden's slant is mainly towards math, as far as mathematical ri...

W?thrich A. The genesis of Feynman diagrams

  • формат pdf
  • размер 4.98 МБ
  • добавлен 04 февраля 2011 г.
Springer, 2010, 208 p. In a detailed reconstruction of the genesis of Feynman diagrams the author reveals that their development was constantly driven by the attempt to resolve fundamental problems concerning the uninterpretable infinities that arose in quantum as well as classical theories of electrodynamic phenomena. Accordingly, as a comparison with the graphical representations that were in use before Feynman diagrams shows, the resulting the...