Lecture Notes in Physics

An Introduction to Quantum Spin Systems

Authors: Parkinson, John B., Farnell, Damian J. J.

  • Very useful as a self-study guide
  • Provides examples and step-by-step derivations
  • Goes straight to advanced-level theory
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eBook $34.99
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  • ISBN 978-3-642-13290-2
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  • Immediate eBook download after purchase
Softcover $49.95
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  • ISBN 978-3-642-13289-6
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About this book

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.

Table of contents (11 chapters)

  • Introduction

    Parkinson, John B. (et al.)

    Pages 1-5

  • Spin Models

    Parkinson, John B. (et al.)

    Pages 7-19

  • Quantum Treatment of the Spin-½ Chain

    Parkinson, John B. (et al.)

    Pages 21-38

  • The Antiferromagnetic Ground State

    Parkinson, John B. (et al.)

    Pages 39-47

  • Antiferromagnetic Spin Waves

    Parkinson, John B. (et al.)

    Pages 49-59

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-642-13290-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-642-13289-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Quantum Spin Systems
Authors
Series Title
Lecture Notes in Physics
Series Volume
816
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-13290-2
DOI
10.1007/978-3-642-13290-2
Softcover ISBN
978-3-642-13289-6
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XI, 154
Number of Illustrations and Tables
22 b/w illustrations
Topics