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Titlebook: An Introduction to Quantum Spin Systems; John Parkinson,Damian J J Farnell Book 2010 Springer-Verlag Berlin Heidelberg 2010 Theoretical ph

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樓主: Dopamine
21#
發(fā)表于 2025-3-25 04:21:17 | 只看該作者
The XY Model, combining these fermion operators into new ‘quasiparticle’ operators that are still fermions. The ground state is then a state in which all eigenstates of these operators are occupied up to the ‘Fermi surface’. It is then possible to calculate the ground state energy of this system.
22#
發(fā)表于 2025-3-25 08:43:46 | 只看該作者
Spin-Wave Theory, simple and the results are usually exact. The antiferromagnetic version is more complicated and the results are approximate. However, these results are still in reasonable correspondence with exact results, where these are known, and the best of other approximate methods.
23#
發(fā)表于 2025-3-25 12:52:21 | 只看該作者
24#
發(fā)表于 2025-3-25 17:50:37 | 只看該作者
Besondere Herstellungsverfahren,at happens when there are large numbers of interacting spins. Finally we introduce the infinite linear (i.e. one-dimensional) chain of spin-1/2 atoms. Some preliminary classical results for this model are given as background for the full quantum treatment which will be studied in detail in the following chapters.
25#
發(fā)表于 2025-3-25 21:18:59 | 只看該作者
Book 2010 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 mat
26#
發(fā)表于 2025-3-26 03:53:42 | 只看該作者
27#
發(fā)表于 2025-3-26 06:05:51 | 只看該作者
Antiferromagnetic Spin Waves,ined using conventional antiferromagnetic spin-wave theory (covered in a later chapter). We finish this chapter with a discussion of the somewhat unexpected behaviour of the excitation spectrum when an external magnetic field is present.
28#
發(fā)表于 2025-3-26 09:01:54 | 只看該作者
Maschinen für das Zusammenfügen der Theiles of the order of 20 for full diagonalisation and 40 for partial diagonalisation. Clearly the ground state energy and the energies of the elementary excitations are obtained directly. Also the partition function can be constructed directly for full diagonalisation because all the eigenvalues are kno
29#
發(fā)表于 2025-3-26 12:54:50 | 只看該作者
,Die Maschinen für die Blechbearbeitung,enberg model on the linear chain is used as a test-case for all of these methods. We show that even simple applications of these methods give improved results for the ground-state energy compared to the classical result.
30#
發(fā)表于 2025-3-26 18:20:35 | 只看該作者
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