Relativistic Quantum Mechanics Wave Equations

Author : Walter Greiner
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 44,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662042755

Get Book

Relativistic Quantum Mechanics. Wave Equations by Walter Greiner Pdf

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-center Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Chapter 15 presents the relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner). The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course. This third edition has been slightly revised to bring the text up-to-date.

Author : Hartmut Pilkuhn
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 55,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662052754

Get Book

Relativistic Quantum Mechanics by Hartmut Pilkuhn Pdf

In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics appears as a special case, and classical relativistic mechanics as another one. These special cases are important for giving plausible names to operators, for example "orbital angular momentum", "spin" or "magnetic moment". A subject which is treated for the first time in this book is the theory of binaries in terms of differential equations which have the mathematical structure of the corresponding one-body equations (Klein--Gordon for two spin- less particles, Dirac for two spinor particles).

Author : Francisco J. Yndurain
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642610578

Get Book

Relativistic Quantum Mechanics and Introduction to Field Theory by Francisco J. Yndurain Pdf

This advanced textbook supplies graduate students with a primer in quantum theory. A variety of processes are discussed with concepts such as potentials, classical current distributions, prescribed external fields dealt with in the framework of relativistic quantum mechanics. Then, in an introduction to field theory, the author emphasizes the deduction of the said potentials or currents. A modern presentation of the subject together with many exercises, unique in its unusual underlying concept of combining relativistic quantum mechanics with basic quantum field theory.

Author : Shi-Hai Dong
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 47,6 Mb
Release : 2011-07-09
Category : Science
ISBN : 9789400719170

Get Book

Wave Equations in Higher Dimensions by Shi-Hai Dong Pdf

Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory and Relativity. This book provides an elementary description of quantum wave equations in higher dimensions at an advanced level so as to put all current mathematical and physical concepts and techniques at the reader’s disposal. A comprehensive description of quantum wave equations in higher dimensions and their broad range of applications in quantum mechanics is provided, which complements the traditional coverage found in the existing quantum mechanics textbooks and gives scientists a fresh outlook on quantum systems in all branches of physics. In Parts I and II the basic properties of the SO(n) group are reviewed and basic theories and techniques related to wave equations in higher dimensions are introduced. Parts III and IV cover important quantum systems in the framework of non-relativistic and relativistic quantum mechanics in terms of the theories presented in Part II. In particular, the Levinson theorem and the generalized hypervirial theorem in higher dimensions, the Schrödinger equation with position-dependent mass and the Kaluza-Klein theory in higher dimensions are investigated. In this context, the dependence of the energy levels on the dimension is shown. Finally, Part V contains conclusions, outlooks and an extensive bibliography.

Author : R. Moss
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400956889

Get Book

Advanced Molecular Quantum Mechanics by R. Moss Pdf

This book is primarily intended for graduate chemists and chemical physicists. Indeed, it is based on a graduate course that I give in the Chemistry Depart ment of Southampton University. Nowadays undergraduate chemistry courses usually include an introduction to quantum mechanics with particular reference to molecular properties and there are a number of excellent textbooks aimed specifically at undergraduate chemists. In valence theory and molecular spectroscopy physical concepts are often encountered that are normally taken on trust. For example, electron spin and the anomalous magnetic moment of the electron are usually accepted as postulates, although they are well understood by physicists. In addition, the advent of new techniques has led to experimental situations that can only be accounted for adequately by relatively sophisticated physical theory. Relativis tic corrections to molecular orbital energies are needed to explain X-ray photo electron spectra, while the use oflasers can give rise to multiphoton transitions, which are not easy to understand using the classical theory of radiation. Of course, the relevant equations may be extracted from the literature, but, if the underlying physics is not understood, this is a practice that is at best dissatisfy ing and at worst dangerous. One instance where great care must be taken is in the use of spectroscopically determined parameters to test the accuracy of elec tronic wave functions.

Author : V. Devanathan
Publisher : Alpha Science International, Limited
Page : 0 pages
File Size : 42,6 Mb
Release : 2011
Category : Science
ISBN : 1842656570

Get Book

Relativistic Quantum Mechanics and Quantum Field Theory by V. Devanathan Pdf

Deals with the single particle relativistic wave equations and the elements of quantum field theory. In this book, how the quantum field theory is stretched beyond quantum electrodynamics to include electro weak interactions and strong interactions and how it leads to the formulation of the standard model of elementary particles are discussed.

Author : Anton Z. Capri
Publisher : World Scientific
Page : 194 pages
File Size : 48,8 Mb
Release : 2002
Category : Science
ISBN : 9812381376

Get Book

Relativistic Quantum Mechanics and Introduction to Quantum Field Theory by Anton Z. Capri Pdf

This invaluable textbook is divided into two parts. The first part includes a detailed discussion on the discrete transformations for the Dirac equation, as well as on the central force problem for the Dirac equation. In the second part, the external field problem is examined; pair production and vacuum polarization leading to charge renormalization are treated in detail. Relativistic Quantum Mechanic's and Introduction to Quantum Field Theory has arisen from a graduate course which the author taught for several years at the University of Alberta to students interested in particle physics and field theory.

Author : Luis Grave de Peralta
Publisher : Springer Nature
Page : 177 pages
File Size : 52,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783031370731

Get Book

Relativistic and Non-Relativistic Quantum Mechanics by Luis Grave de Peralta Pdf

Author : Eduardo Guendelman,David Owen
Publisher : World Scientific
Page : 211 pages
File Size : 42,8 Mb
Release : 2022-03-18
Category : Science
ISBN : 9789811248771

Get Book

Relativistic Quantum Mechanics And Related Topics by Eduardo Guendelman,David Owen Pdf

This book describes Relativistic Quantum Mechanics, starting from the free field equations for spin-zero particles and for spin-one-half particles, leading to the Klein-Gordon equation and Dirac equations. Interactions of these particles with the electromagnetic field through minimal coupling are introduced as well as other interactions between particles. It includes the calculation of the fundamental processes of Quantum Electrodynamics by means of Feynman's propagator theory, which allows for a proper treatment of diverse scattering and particle creation processes. In addition to this, a number of special topics are discussed, such as spontaneous symmetry breaking, the global and local cases, the Higgs mechanism, axion-photon interactions using techniques borrowed from scalar QED, pair creation in a strong external electric field, the two-dimensional representation of the Klein-Gordon propagator, bound states in the Greens functions approach, and the Breit equation for bound states. Also, the photon-electron interactions are treated in the context of a symmetric treatment within electrons and photons for eg. Compton scattering, pair creation and pair annihilation. Finally, non-abelian gauge theories, the Glashow-Weinberg-Salam model, some electroweak processes, and Feynman diagrams are also discussed.

Author : Franz Gross
Publisher : John Wiley & Sons
Page : 643 pages
File Size : 54,6 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617340

Get Book

Relativistic Quantum Mechanics and Field Theory by Franz Gross Pdf

An accessible, comprehensive reference to modern quantum mechanics and field theory. In surveying available books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics. Relativistic Quantum Mechanics and Field Theory fills this striking gap in the field. With a strong emphasis on applications to practical problems as well as calculations, Dr. Gross provides complete, up-to-date coverage of both elementary and advanced topics essential for a well-rounded understanding of the field. Developing the material at a level accessible even to newcomers to quantum mechanics, the book begins with topics that every physicist should know-quantization of the electromagnetic field, relativistic one body wave equations, and the theoretical explanation of atomic decay. Subsequent chapters prepare readers for advanced work, covering such major topics as gauge theories, path integral techniques, spontaneous symmetry breaking, and an introduction to QCD, chiral symmetry, and the Standard Model. A special chapter is devoted to relativistic bound state wave equations-an important topic that is often overlooked in other books. Clear and concise throughout, Relativistic Quantum Mechanics and Field Theory boasts examples from atomic and nuclear physics as well as particle physics, and includes appendices with background material. It is an essential reference for anyone working in quantum mechanics today.

Author : Douglas M. Gingrich
Publisher : CRC Press
Page : 355 pages
File Size : 52,5 Mb
Release : 2006-05-10
Category : Science
ISBN : 9781584885429

Get Book

Practical Quantum Electrodynamics by Douglas M. Gingrich Pdf

Taking a heuristic approach to relativistic quantum mechanics, Practical Quantum Electrodynamics provides a complete introduction to the theory, methodologies, and calculations used for explaining the physical interaction of charged particles. This book combines the principles of relativity and quantum theory necessary for performing the calculations of the electromagnetic scattering of electrons and positrons and the emission and absorption of photons. Beginning with an introduction of the wave equations for spin-0 and spin-1/2 particles, the author compares and contrasts the relativistic and spin effects for both types of particles. He emphasizes how the relativistic treatment of quantum mechanics and the spin-1/2 degree of freedom are necessary to describe electromagnetic interactions involving electron scattering and points out the shortfalls of the wave-equation approach to relativistic quantum mechanics. Developing the Feynman rules for quantum electrodynamics by example, the book offers an intuitive, hands-on approach for performing fundamental calculations. It also illustrates how to perform calculations that can be related to experiments such as diagrams, lifetimes, and cross sections. Practical Quantum Electrodynamics builds a strong foundation for further studies and research in theoretical and particle physics, particularly relativistic quantum field theory or nonrelativistic many-body theory.

Author : Silvan S. Schweber
Publisher : Courier Corporation
Page : 930 pages
File Size : 42,5 Mb
Release : 2013-10-10
Category : Science
ISBN : 9780486139609

Get Book

An Introduction to Relativistic Quantum Field Theory by Silvan S. Schweber Pdf

Complete, systematic, and self-contained, this text introduces modern quantum field theory. "Combines thorough knowledge with a high degree of didactic ability and a delightful style." — Mathematical Reviews. 1961 edition.

Author : Walter Greiner
Publisher : Springer
Page : 353 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642880827

Get Book

Relativistic Quantum Mechanics by Walter Greiner Pdf

More than a generation of Gennan-speaking students around the world have worked their way to an understanding and appreciation of the power and beauty of modern theoretical physics - with mathematics, the most fundamental of sciences - using Walter Greiner's textbooks as their guide. The idea of developing a coherent, complete presentation of an entire field of science in a series of closely related textbooks is not a new one. Many older physicists remember with real pleasure their sense of adventure and discovery as they worked their ways through the classic series by Sommerfeld, by Planck and by Landau and Lifshitz. From the students' viewpoint, there are a great many obvious advantages to be gained through use of consistent notation, logical ordering of topics and coherence of presentation; beyond this, the complete coverage of the science provides a unique opportunity for the author to convey his personal enthusiasm and love for his subject. The present five volume set, Theoretical Physics, is in fact only that part of the complete set of textbooks developed by Greiner and his students that presents the quantum theory. I have long urged him to make the remaining volumes on classical mechanics and dynamics, on electromagnetism, on nuclear and particle physics, and on special topics available to an English-speaking audience as well, and we can hope for these companion volumes covering all of theoretical physics some time in the future.

Author : Tommy Ohlsson
Publisher : Cambridge University Press
Page : 311 pages
File Size : 55,9 Mb
Release : 2011-09-22
Category : Science
ISBN : 9781139504324

Get Book

Relativistic Quantum Physics by Tommy Ohlsson Pdf

Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein–Gordon equation and the Dirac equation. It then moves on to the canonical quantization procedure of the Klein–Gordon, Dirac and electromagnetic fields. Classical Yang–Mills theory, the LSZ formalism, perturbation theory, elementary processes in QED are introduced, and regularization, renormalization and radiative corrections are explored. With exercises scattered through the text and problems at the end of most chapters, the book is ideal for advanced undergraduate and graduate students in theoretical physics.

Author : J. P. Singh
Publisher : Unknown
Page : 0 pages
File Size : 42,6 Mb
Release : 2013-12-30
Category : Electronic
ISBN : 9382332634

Get Book

Relativistic Quantum Mechanics by J. P. Singh Pdf

Provides a description of single particle relativistic dynamics at the quantum scale adapting Schrodinger wave equations. It gives a thorough analysis of the Klein-Gordon and Dirac equations. The dynamics of physical systems are represented by differential equations. The Lorentz and Poincare groups constitute the underlying symmetry groups of special relativity and, thus, of relativistic wave equations.