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An Introduction to Quantum Spin Systems, by John B. Parkinson, Damian J. J. Farnell
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The topic of lattice quantum spin systems is a fascinating and by now well established branch of theoretical physics. Based on a set of lectures, this book has a level of detail missing from others, and guides the reader through the fundamentals of the field.
- Sales Rank: #17263401 in Books
- Published on: 2010-11-04
- Original language: English
- Dimensions: 9.21" h x .36" w x 6.14" l, .54 pounds
- Binding: Paperback
- 168 pages
From the Back Cover
The topic of lattice quantum spin systems is a fascinating and by now well-established branch of theoretical physics. However, many important questions remain to be answered. Their intrinsically quantum mechanical nature and the large (usually effectively infinite) number of spins in macroscopic materials often leads to unexpected or counter-intuitive results and insights. Spin systems are not only the basic models for a whole host of magnetic materials but they are also important as prototypical models of quantum systems. Low dimensional systems (as treated in this primer), in 2D and especially 1D, have been particularly fruitful because their simplicity has enabled exact solutions to be determined in many cases. These exact solutions contain many highly nontrivial features. This book was inspired by a set of lectures on quantum spin systems and it is set at a level of practical detail that is missing in other textbooks in the area. It will guide the reader through the foundations of the field. In particular, the solutions of the Heisenberg and XY models at zero temperature using the Bethe Ansatz and the Jordan-Wigner transformation are covered in some detail. The use of approximate methods, both theoretical and numerical, to tackle more advanced topics is considered. The final chapter describes some very recent applications of approximate methods in order to show some of the directions in which the study of these systems is currently developing.
Most helpful customer reviews
0 of 0 people found the following review helpful.
Excellent, self-contained, concise intro quantum spin-chains
By Ramis Movasagh
An excellent and entirely self-contained introduction to the basis of quantum spin chains. It is a short and clear account and in my opinion is the best place to start. There are some minor typos (very few) but shouldn't come on your way and can easily be spotted. I would have hoped to see some discussions of entanglement. Nevertheless for those who like to be able to access the literature on spin chains and get to that point fast, it is a wonderful read.
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