An Introduction to Quantum Spin Systems: 816 (Lecture Notes in Physics) - Softcover

Buch 45 von 241: Lecture Notes in Physics

Parkinson, John B. B.; Farnell, Damian J. J.

 
9783642132896: An Introduction to Quantum Spin Systems: 816 (Lecture Notes in Physics)
Softcover
ISBN 10: 3642132898 ISBN 13: 9783642132896
Verlag: Springer, 2010

Inhaltsangabe

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.

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The topic of lattice quantum spin systems is a fascinating and by nowwell-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.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3642132898
ISBN 13 
9783642132896
Einband
Tapa blanda
Anzahl der Seiten
168
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Verlag: Springer, 2010
Softcover