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Relativistic Quantum Mechanics
(Theoretical and Mathematical Physics)
by Hartmut Pilkuhn
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Editorial Reviews

Review

From the reviews of the second edition:
"The chapters on quantum fields and particles and scattering and bound states present material that is not generally treated and therefore makes the book interesting to work through. The presentation is clearly non-standard since the author develops the subject in analogy with Maxwells equations rather than using Lagrangian formulation, emphasizing Lorentz invariance. [...] All in all, this is a remarkable book: very condensed and also far off the beaten track when discussing relativistic quantum mechanics. I would not recommend to start with this monograph. [...] It should, however, not lack in any library having a good section on quantum mechanics and quantum field theory." (Kris Heyde, Physicalia, 25/4, 2003)
"This is an admirable book. Its five chapters and two appendices give a concise but informative and distinctive presentation of several important themes in relativistic quantum mechanics." (Dr. J. Butterfield (University of Cambridge), Contemporary Physics 2004, vol. 45, page 89)
"This is the second edition of this book . This edition includes five new sections and a third appendix. Overall, this is a useful book to graduate students." (T. C. Mohan, Mathematical Reviews, Issue 2007 b)


Product Description

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 as well as classical relativistic mechanics appear as special cases. They are the sources of familiar names such as "orbital angular momentum", "spin-orbit coupling" and "magnetic moment" for operators of the relativistic quantum formalism. The theory of binaries, in terms of differential equations, is treated for the first time in this book. These have the mathematical structure of the corresponding one-body equations (Klein-Gordon for two spinless particles, Dirac for two spinor particles) with a relativistically reduced mass. They allow the calculation of radiative corrections via the vector potential operator. This second edition of the successful textbook adds various new sections on relativistic quantum chemistry and on the relativistic treatment of the proton in hydrogen. Others chapters have been expanded, e.g. on hyperfinite interactions, or carefully revisited.


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Product Details

Hardcover: 278 pages
Publisher: Springer; 2nd ed. edition
(September 19, 2005)
Language: English
ISBN-10: 3540255028
ISBN-13: 978-3540255024
Product Dimensions: 9.3 x 6.3 x 0.8 inches
Shipping Weight: 1.1 pounds

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Product Description
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.

Language Notes
Text: English (translation)
Original Language: German --This text refers to an out of print or unavailable edition of this title.



Product Details




Paperback: 424 pages

Publisher: Springer; 3rd ed. edition

(July 26, 2000)
Language: English
ISBN-10: 3540674578
ISBN-13: 978-3540674573
Product Dimensions: 9.2 x 7.2 x 1.1 inches
Shipping Weight: 1.6 pounds










 



Product Description
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.

The publisher, John Wiley & Sons
Offers a broader perspective by including numerous examples from atomic and nuclear physics as well as particle physics. Covers gauge theories, path-integral techniques and bound states. Considerable emphasis is placed upon applications to practical problems. --This text refers to the Hardcover edition.

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Product Details

Paperback: 643 pages
Publisher: Wiley-Interscience; Rev Ed edition
(May 11, 1999)
Language: English
ISBN-10: 0471353868
ISBN-13: 978-0471353867
Product Dimensions: 9.4 x 6.6 x 1.3 inches
Shipping Weight: 2.7 pounds


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