An introduction to quantum spin systems.
type: Item
instance of: scholarly article
title: An introduction to quantum spin systems.
zbMATH Open document ID: 1214.81002
DOI: 10.1007/978-3-642-13290-2
author: John Parkinson
author: Damian J. J. Farnell
published in: Lecture Notes in Physics
publication date: 2010-07-20T00:00:00Z
full work available at URL: http://cds.cern.ch/record/1338921
review text: This volume provides the expanded version of a lecture series delivered by the first author. In a detailed textbook-style manner the authors introduce the quantum theory of spins and spin systems and proceed then to describe various solutions to spin systems. The first part of the book is devoted to the description of various exact methods which work in the special case of spin chains: the Bethe Ansatz is applied to \(S=\frac{1}{2}\) Heisenberg chains and the Jordan-Wigner method is applied to the \(S=\frac{1}{2}\) XY chain. The second half of the book is devoted to numerical methods: approximation schemes using Monte Carlo methods and the CCM method are studied.
reviewed by: Walter Freyn
Mathematics Subject Classification ID: 81-01
Mathematics Subject Classification ID: 82-01
Mathematics Subject Classification ID: 82D40
Mathematics Subject Classification ID: 81V10
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 82B23
Mathematics Subject Classification ID: 81R25
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 82B80
zbMATH DE Number: 5757829
zbMATH Keywords: spin system
zbMATH Keywords: spin wave
zbMATH Keywords: XY model
zbMATH Keywords: coupled cluster
zbMATH Keywords: quantum magnetism
zbMATH Keywords: Bethe Ansatz, Jordan-Wigner transform
MaRDI profile type: Publication
OpenAlex ID: W1581324183
description: scientific article; zbMATH DE number 5757829