Theoretical and Mathematical Physics

Relativistic Quantum Mechanics

Authors: Wachter, Armin

  • Clearly structured and highly intuitive book on relativistic quantum mechanics in the narrow sense

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About this book

Which problems do arise within relativistic enhancements of the Schrödinger theory, especially if one adheres to the usual one-particle interpretation, and to what extent can these problems be overcome? And what is the physical necessity of quantum field theories? In many books, answers to these fundamental questions are given highly insufficiently by treating the relativistic quantum mechanical one-particle concept very superficially and instead introducing field quantization as soon as possible. By contrast, this monograph emphasizes relativistic quantum mechanics in the narrow sense: it extensively discusses relativistic one-particle concepts and reveals their problems and limitations, therefore motivating the necessity of quantized fields in a physically comprehensible way. The first chapters contain a detailed presentation and comparison of the Klein-Gordon and Dirac theory, always in view of the non-relativistic theory. In the third chapter, we consider relativistic scattering processes and develop the Feynman rules from propagator techniques. This is where the impossibility to get around a quantum field theoretical reasoning is discussed and basic quantum field theoretical concepts are introduced. This book addresses undergraduate and graduate physics students who are interested in a clearly arranged and structured presentation of relativistic quantum mechanics in the "narrow sense" and its connection to quantum field theories. Each section contains a short summary and exercises with solutions. A mathematical appendix rounds up this excellent introductory book on relativistic quantum mechanics.

About the authors

Armin Wachter holds a Ph.D. in Physics from the John von Neumann Institute for Computing (NIC) / research Centre of Jülich, Germany. His research interests include theoretical elementary particle physics, heavy quark physics, heavy meson spectroscopy, algorithms on parallel computers, and lattice gauge theory. His publications at Springer include: Repetitorium Theoretische Physik, ISBN 3-540-21457-7 Compendium of Theoretical Physics, ISBN 0-387-25799-3 Relativistische Quantenmechanik, ISBN 3-540-22922-1

Reviews

From the reviews:

“This book addresses undergraduate and graduate physics students, as well as young scientists in physics and applied mathematics who are interested in the theory of relativistic quantum mechanics in the ‘narrow sense’ and its connections to quantum field theories. The notions presented in the book are clearly arranged and each section contains a short summary and exercises with solutions. Important equations and relationships are summarized in boxes to allow the reader a well-structured understanding and easy reference.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, March, 2014)

“The main focus of this book is the extent to which relativistic quantum mechanics can be applied. … This textbook is written very clearly … . a valuable asset for teaching purposes. Its main value is the detailed discussion of relativistic corrections to non-relativistic problems in quantum mechanics, which could be very useful for anyone interested in such contributions. … the book is equally well suited as a basis for lectures, for self-study, or as a reference work for active research.” (Axel Maas, Mathematical Reviews, Issue 2011 m)

“This book addresses undergraduate and graduate physics students, as well as young scientists in physics and applied mathematics who are interested in the theory of relativistic quantum mechanics in the ‘narrow sense’ and its connections to quantum field theories. The notions presented in the book are clearly arranged and each section contains a short summary and exercises with solutions. Important equations and relationships are summarized in boxes to allow the reader a well-structured understanding and easy reference.” (Marian Ioan Munteanu, Zentralblatt MATH, Vol. 1205, 2011)


Table of contents (3 chapters)

  • Relativistic Description of Spin-0 Particles

    Wachter, Armin

    Pages 1-84

  • Relativistic Description of Spin-1/2 Particles

    Wachter, Armin

    Pages 85-176

  • Relativistic Scattering Theory

    Wachter, Armin

    Pages 177-348

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-90-481-3645-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $124.00
price for USA
  • ISBN 978-90-481-3644-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $124.00
price for USA
  • ISBN 978-94-007-3361-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Relativistic Quantum Mechanics
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
Distribution Rights
Distribution rights for India: CBS Publishers, New Delhi, India
eBook ISBN
978-90-481-3645-2
DOI
10.1007/978-90-481-3645-2
Hardcover ISBN
978-90-481-3644-5
Softcover ISBN
978-94-007-3361-9
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XVI, 372
Topics