Download PDF Relativistic Quantum Physics: From Advanced Quantum Mechanics to Introductory Quantum Field Theory, by Tommy Ohlsson
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Relativistic Quantum Physics: From Advanced Quantum Mechanics to Introductory Quantum Field Theory, by Tommy Ohlsson
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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.
- Sales Rank: #1750297 in Books
- Published on: 2011-10-31
- Original language: English
- Number of items: 1
- Dimensions: 9.72" h x .71" w x 6.85" l, 1.67 pounds
- Binding: Hardcover
- 310 pages
Review
"The book contains a thorough and very detailed mathematical treatment of the subject. I recommend this book for its self-contained technical treatment on relativistic quantum mechanics."
Aniruddha Chakraborty, Contemporary Physics
"... a thorough and very detailed mathematical treatment of the subject ... is ideal for final year undergraduate students in physics and first year graduate students in physics or theoretical physics. I recommend this book for its self-contained technical treatment on relativistic quantum mechanics, introductory quantum field theory and the step between, i.e. it can fill the gap between advanced quantum mechanics and quantum field theory."
Contemporary Physics
About the Author
Tommy Ohlsson is a Professor in Theoretical Physics at the Royal Institute of Technology (KTH), Sweden. His main research field is theoretical particle physics, especially neutrino physics and physics beyond the Standard Model.
Most helpful customer reviews
12 of 12 people found the following review helpful.
For the mathematically sophisticated
By Amazon Customer
The review by Library Picks makes some good points, but I think it is aimed at the wrong audience. This book is for graduate students of physics who have already studied quantum mechanics. In the U.S. physics graduate students take a year of quantum mechanics (QM), at the level of Merzbacher, generally in their first year. This frequently follows an undergraduate course in QM at the level, say, of Griffiths' fine text. Many would like to then study quantum field theory (QFT), which is fundamental to many research areas including condensed matter, quantum optics, and especially elementary particle theory. But many students find that the QFT course is too big a jump from the first year graduate course in ordinary (i.e. nonrelativistic) QM. The QFT course combines not only QM but advanced level classical field theory, special relativity, and classical mechanics of continua.. There are many fine textbooks in QFT, the current standard being the book by Peskin and Schroeder. But students often find P&S too difficult. Hence in many universities there are post-QM pre-QFT courses and so there are a few corresponding textbooks -- as pioneered by Bjorken and Drell in 1964 -- which attempt to bridge the gap. Here is where Ohlsson's book comes in.
The general syllabus of such a course and text is to start with relativistic generalizations of Schr�dinger's equation and end with the beginnings of quantized fields, including a bit of renormalization. In ordinary QM position and momentum are operators which operate on the wave function. But in QFT the wave function becomes the operator, and position and momentum become mere labels. This is called "second quantization." Moreover, because relativity says that energy can be converted into matter, in relativistic QFT particles can be created and destroyed, unlike ordinary QM in which the number of particles is fixed. Students find these facts perplexing.
Ohlsson's commendable book follows this broad outline. However, I issue a strong caveat to prospective buyers or adopters. First of all, he is very terse, covering the subject in less than half the number of pages as, say, the competitive book by F. Gross. Secondly, Ohlsson assumes a mathematical sophistication beyond what I find in the majority of American physics grad students. He uses some concepts such as "strong limits" and "absolutely continuous spectrum" in his discussion of scattering theory. His opening chapter provides a very thorough treatment of the Lorentz and Poincar� groups and their representations. There is a helpful eight-page appendix on group theory, including Lie groups and Lie algebras, but I doubt that a student who has not previously been exposed to these ideas can master the material from this appendix.
One thing for which I especially want to commend Ohlsson, is the inclusion at the end of every chapter of a bibliography referring to other texts covering similar material, including specific page or chapter references. He also footnotes Nobel prize winners the first time their names are mentioned and quotes excerpts from the Nobel prize citation.
0 of 0 people found the following review helpful.
More of a Graduate Reference than Undergrad Text, but Excellent
By Let's Compare Options Preptorial
Before Dirac there really was no "relativistic" quantum mechanics and fields, as even Pauli's waveforms extending Schrodinger from 1 to 2 wasn't well understood until Dirac's 4 x 4 explained Pauli. That said, you'd think this text would be mostly about Dirac and developments since his 1928 masterpiece.
This is true to an extent, but his "holes" have now become positrons and accelerator, decay and detection experiments have vastly expanded gauge theories into a virtual taxonomy of new particles and properties in the intersection between special relativity and quantum mechanics and fields (general relativity still has issues in that intersection even today, and not just in gravity). The text does an excellent job of covering all the major trends with good updates, but the math is bang...bang...bang, and assumes you "get" not only the transformations and symmetries, but already know the symbology. So, not to argue with the publisher, but I'd give this 5 stars for grad students and as a professional derivation reference, but definitely not recommend it as an undergrad text without a really good teacher, supplemental texts, or as an advanced placement course for Seniors that are already into grad material.
The author is spotty in explaining whether a plain L is a Lagrangian, and in what form it's used, for example. If you're already familiar with both relativity and QED, for example, extensions to field theory and combined mechanics will make this text valuable because you'll recognize the equations and symbols by the context. Subtle differences between uses as phases vs. operators vs. tensors, etc. are NOT explained in detail in many sections-- the author is very bright and often assumes you've already used a lot of the notation in earlier Physics classes.
The same holds true of the math. You should be familiar with differential equations and linear algebra as well as transforms, Lorenz and of course Laplacians. If you've studied the basics of Dirac you'll be much better off, as the differential equations, linear algebra and even gauge analysis coming from his seminal equations and subsequent particle results are key here. After all, as humble as his initial goals were, he DID unify the two fields that are the subject of this text, and with Yang-Mills, gave us a 3/4 unification of standard fields (electromagnetics, strong and weak, gravity to come someday soon!).
The really nice thing is that there are not a lot of errors in this text. There are some typos, but most of the formulas, problems, solutions and exercises are well proofed. For a 300 page book costing up to $60 US you might expect that rigor, but not so... many texts I've reviewed in Physics lately are pathetically proofed and edited. How can a self study student expect to overcome formula errors when the RIGHT answers are hard enough on their own? Fortunately the author and publisher were obviously more ethical than rushed in the case of this fine volume. Highly recommended for advanced grad students and as a reference for researchers and professors wanting to brush up on derivations and formula (eg symmetry) variations. We got this from an Amazon third party for $25-- at that price it is a real gem.
Library Picks reviews only for the benefit of Amazon shoppers and has nothing to do with Amazon, the authors, manufacturers or publishers of the items we review. We always buy the items we review for the sake of objectivity, and although we search for gems, are not shy about trashing an item if it's a waste of time or money for Amazon shoppers. If the reviewer identifies herself, her job or her field, it is only as a point of reference to help you gauge the background and any biases.
0 of 0 people found the following review helpful.
very good
By EB
It is a very good book for a quick consult. The good point is that it is brief and very well written. To go deeper, one should check other references.
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