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|  | |  | | | Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Books on Engineering) | | | | | SKU:
9780486450131_nw | | In Stock | | Availability:
Usually ships in 1 business days | | Only 3 left in stock, order soon! | | | | | | 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 |
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| | Customer Reviews | Average Customer Review: ( 3 customer reviews )
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8 of 8 found the following review helpful:
crystal 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:
Learned 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.
An 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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