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Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Books on Engineering)

Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Books on Engineering)
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Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Books on Engineering)

 
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9780486450131_nw

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This graduate-level text is intended for any student of physics who requires grounding in the quantum theory of nonrelativistic scattering. The time-dependent approach is emphasized, including the use of time-dependent formalism to define all basic concepts and time-independent theory as a tool for computation. 1983 edition.

 
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Product Details
Author:John R. Taylor
Paperback:512 pages
Publisher:Dover Publications
Publication Date:May 26, 2006
Language:English
ISBN:0486450139
Product Length:8.44 inches
Product Width:5.5 inches
Product Height:0.97 inches
Product Weight:1.16 pounds
Package Length:8.4 inches
Package Width:5.3 inches
Package Height:1.0 inches
Package Weight:1.15 pounds
Average Customer Rating: based on 3 reviews

Customer Reviews
Average Customer Review:4.5 ( 3 customer reviews )
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Most Helpful Customer Reviews

8 of 8 found the following review helpful:


5crystal clear exposition  Aug 29, 2007 By Decleva Piero
Scattering theory is a notoriously difficult area in quantum mechanics. After looking several classics, I borrowed a copy of this book, then out of print, and found immediately it was at the right level. The exposition is always to the point, never overloaded with side issues or minor details, yet very clear and precise, a pleasure to read. It leaves the nice feeling of understanding exactly everything the author explains.
So I immediately photocopied the book, and I am very pleased of it being back in print thanks to Dover, and got already a new copy.
Despite the book being over 30 years old, the presentation is still fresh, the hallmark of a classic. The only complain, is that me too would like more topics, and the coverage of some important progress, which is apparently available only in mathematical physics text, pretty hard for the average physicist. But this calls for a second volume, nothing to be changed on the present one.

3 of 4 found the following review helpful:


4Learned Quantum Mechanics from J.R. Taylor  Feb 11, 2007 By M. Rumore
Ad the title says, the book covers non-relativistic scattering theory. It covers the expected topics of partial wave expansions, Born approximation, single and multi-channel scattering. I used this book when I was learning scattering theory during graduate school at U. of Colorado. It is a good introduction to scattering theory. My only reservation is that the book is general. People looking for scattering theory book specific to say, nuclear physics, might be better off with McCarthy's book (old one) or Feshbach's.


5An Outstanding Text  May 16, 2012 By Jason Dowd "a reader"
This text is geared for any student of physics or chemistry that needs to know quantum scattering theory. As the title indicates, the treatment is completely non-relativistic. However, the author states upfront that he intends to help the student who needs to go on to learn the relativistic theory as well. This is accomplished via comments and footnotes explaining which elements of the non-relativistic theory generalize to the relativistic treatment, and which do not.

As far as background is concerned, Quantum Mechanics (2 Volumes in 1) is ideal on the quantum mechanics side as the author repeatedly references this work and adopts many of the same conventions. Mathematically, the reader should know complex analysis at least to the level of Elementary Real and Complex Analysis (Dover Books on Mathematics).

This subject is rather difficult, but I can't really imagine a book making it more approachable than this one.

Fully two thirds of this book are devoted to single channel scattering because the author contends the key to understanding multi-channel scattering is to understanding single channel scattering very well first, and the so the book begins with a consideration not only of single channel scattering, but with single particle scattering off of a fixed potential.

After a quick chapter on mathematical preliminaries, the second chapter introduces the S matrix while the third arrives at the fundamental formula for the differential cross section in terms of the elements of the S matrix. The approach to the theory is time dependent which is more physically connected with classical mechanics than the more common time independent approach.

The next two chapters cover two particle scattering first without and then with spin. The next chapter discusses symmetry and invariance issues and introduces the partial-wave series. Partial waves play a key role for the next several chapters.

Next the book begins to work on analytic extensions of a priori real quantities such as the incident momentum. The process and utility of doing so become central themes. For one thing, such extensions are used to provide an excellent introduction to resonance phenomena.

We also get additional treatment of the always tricky Coulomb potential before our attention is turned to multi-channel scattering for the last third of the book where, essentially, the methods developed for single channel scattering are extended and adapted appropriately.

The book has a good number of problems over a range of difficulty. There are no answers provided. Finally, the book includes a good list of references.

Highest recommendation.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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