Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Books on Engineering) by John R. Taylor (PDF)

Description

This graduate-level text is intended for any student of physics who requires a thorough grounding in the quantum theory of nonrelativistic scattering. It is designed for readers who are already familiar with the general principles of quantum mechanics and who have some small acquaintance with scattering theory. Study of this text will allow students of atomic or nuclear physics to begin reading the literature and tackling real problems, with a complete grasp of the underlying principles. For students of high-energy physics, it provides the necessary background for later study of relativistic problems.Topics are presented in terms of the simplest relevant example, so that scattering theory can be learned by becoming familiar with all of the basic concepts–the S operator, cross sections, the T matrix, and so forth–in their simplest context. The time-dependent approach to the subject is emphasized, starting with the use of time-dependent formalism to define all of the basic concepts and the subsequent introduction of the time-independent theory as a tool for computation and for establishing certain general properties. Problems at the end of each chapter improve and supplement readers’ grasp of the material.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I did my PhD dissertation in (non-relativistic) mathematical quantum scattering theory, and *the* text for important results in that field is Reed and Simon, Vol. 3. However, I quickly learned that trying to get a grip on what was actually going *on* in quantum scattering theory from that book was a lost cause: the focus is on the rigorous mathematical results, and the appropriate physical interpretation of, and motivation for, these results is taken more or less for granted. Anyone hoping to develop an intuition for the subject from Reed and Simon might as well hope in one hand and…cry into the other. I spent months pouring over Vol. 3 and gained a modicum of enlightenment, but I couldn’t shake the feeling that there were a bunch of disparate parts of the theory swimming around in my brain, desperately crashing into one another in the hopes they’d stick and assemble themselves into a cohesive and coherent picture of the theory. Sadly, Reed and Simon had painted these pieces with a very weak glue.After searching far and wide for an alternate source that would help me put everything together, I came across Taylor’s marvelous little book. It strikes me as the perfect text for smoothly transitioning an enterprising undergraduate into a graduate-level appreciation for scattering theory, a topic about which Sakurai simply said: “It is impossible to overstate the importance of this subject.” To put it simply, Taylor gave me the glue – he takes nothing for granted and provides clear, complete explanations that are a pleasure to read. He clearly cares most about the physics, but he give the mathematics its due (to the extent possible). He talks about both the time-dependent and time-independent formulations of scattering theory. The former is the focus of Reed and Simon, of much of the mathematical literature on scattering theory, and of my dissertation; the latter is the focus of most undergraduate treatments of quantum scattering theory (see, e.g., Griffiths) and is the tool most often exploited in, say, the chemistry literature. The time-dependent formulation is often avoided because it requires coming to grips with some ‘nasty’ advanced math concepts (such as the strong operator limit), but it allows for a much cleaner expression of the theory. Still, the most complete picture is given by treating both formulations in detail, and that’s what Taylor does. He truly has one of the best pedagogical minds I’ve ever encountered, and this is probably the best investment I’ve ever made in a Dover book. And I was pleased to cite it multiple times in my (destined-to-be-forgotten) dissertation!

⭐Were you ever left with the feeling that the definition of the scattering cross section is everywhere given in a strange and haphazard way? If so, you really should see how Taylor deals with that. It’s really great.Scattering theory is a topic that, in modern Physics programs, is typically covered in a cursory fashion somewhere in between graduate QM and QFT courses. For that reason most people (especially away from nuclear physics) tend to dislike the topic and cringe when hearing the words “scattering theory”, or “phase shifts”.Reality hits the students and postdocs later on, when they want to do a real calculation and find that there is considerable background that they are missing. Taylor’s book is really what they should be studying at the advanced QM level in order to understand the connection between the formalism and the experiments.This book will take you through the basic and more advanced aspects of scattering theory in an extremely clear and readable fashion that is nonetheless rigorous enough to make everyone happy, whether you are a student or a researcher.

⭐I’ve been trying to get my mind around scattering in quantum field theory and came to the realization that I needed a better background in non-relativistic scattering. Taylor’s book had good recommendations and a good price, so I bought it. Well, this book has been a great experience. Until now, I’ve found scattering theory to be a dull subject, but that’s changed. The book is very clearly written, very well organized, and in Taylor’s hands the subject has become appealing.

⭐The best book on scattering theory. As a grad student I didn’t buy the explanations in QFT books and went to one of the profs seeking help. He reached to his shelf and recommended this book. Clear and rigorous without overloading with formalism (like many rigorous advance physics texts). I was delighted to see it back in print at Dover prices.

⭐This text presents scattering theory concisely but with just enough context and physical explanation that the reader is not too bogged down in trying to connect the mathematics with the physical systems they describe. Anyone with a solid background in graduate level quantum physics (or perhaps advanced undergraduate) should find this book useful.

⭐good

⭐Testo famoso ed adottato da moltissime facoltà. Personalmente l’ho trovato troppo complesso e poco chiaro.Lo stato del libro era pessimo, la spedizione è arrivata tardi, però i contenuti di questo libro sono eccellenti! Non comprerò più libri usati!!!構成は砂川重信氏の書かれた「散乱の量子論」に近い。しかしブラ・ケットを使った表現に徹している為、量子力学の基本はこちらの方が高い物を要求されている。つまり難易度はこちらの方が難しい。日本には散乱理論の本が非常に少ないため、この本で基礎を固めるといいかもしれない。何せ値段が安い上、英語も読みやすく、しかも式の導出がしっかりしていて入門書として最適である。（ただし散乱理論の入門であり、波動力学や行列力学の基礎は完全であることを前提とする）和訳の本が出てくれれば尚いいのかもしれないが、独学でも十分できると思う。第一章には数学的基本事項も載っているので、抽象的なヒルベルト空間や直積の概念が分かるなら、十分に読破できるだろう。

⭐

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