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关联电子模型中的有限尺度效应 精确结果 影印版=FINITE SIZE EFFECTS IN CORRELATED ELECTRON MODELS EXACT RESULTSPDF|Epub|txt|kindle电子书版本网盘下载
- （乌克兰)兹维亚金（A.A.Zvyagin）著 著
- 出版社： 北京大学出版社
- ISBN：
- 出版时间：2012
- 标注页数：367页
- 文件大小：13MB
- 文件页数：382页
- 主题词：
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关联电子模型中的有限尺度效应 精确结果 影印版=FINITE SIZE EFFECTS IN CORRELATED ELECTRON MODELS EXACT RESULTSPDF格式电子书版下载
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图书目录
1．Introduction1
1.1 Why is the Topic of the Book Worthwhile Studying?1
1.2 Thermodynamics5
1.3 Statistical Mechanics:Simple Models7
1.4 Mermin-Hohenberg Theorem17
2．uantum Spin-1/2 Chain with the Nearest-Neighbour Couplings25
2.1 Ohe-Dimensional Spin Hamiltonian26
2.2 Ising Chain27
2.3 Isotropic XY Ring30
2.4 Ising Chain in a Transverse Magnetic Field35
2.5 Dimerized XY Chain38
3．Co-ordinate Bethe Ansatz for a Heisenberg-Ising Ring49
3.1 Bethe Ansatz49
3.2 Simple Solutions of the Bethe Ansatz Equations:Strings55
3.3 Thermodynamic Bethe Ansatz57
3.4 The Ground State Behaviour62
3.5 Magnetic Field Behaviour in the Ground State:Wiener-Hopf Method66
4．Correlated Electron Chains:Co-ordinate Bethe Ansatz73
4.1 Hubbard Chain74
4.2 t-J Chain97
5．Algebraic Bethe Ansatz115
5.1 The Algebraic Bethe Ansatz for a Spin-1/2Chain115
5.2 SU(2)-Symmetric Spin-S Chain124
5.3 The Algebraic Bethe Ansatz for Correlated Electron Models137
6．Correlated Quantum Chains with Open Boundary Conditions149
6.1 Open Boundaries.XY and Ising Chains149
6.2 Open Boundaries:Co-ordinate Bethe Ansatz for the Heisenberg-Ising Chain153
6.3 Open Boundaries.The Algebraic Bethe Ansatz164
6.4 Open Hubbard Chain171
6.5 Open Supersymmetric t-J Chain181
7．Correlated Quantum Chains with Isolated Impurities189
7.1 Impurities in XY Chains189
7.2 Impurities in Spin Chains:Bethe Ansatz200
7.3 Impurity in Correlated Electron Chains219
8．Correlated Quantum Chains with a Finite Concentration of Impurities243
8.1 Impurities'Bands243
8.2 Disodered Ensembles of Impurities in Correlated Chains."Quantum Transfer Matrix"Approach262
9．Finite Size Corrections in Quantum Correlated Chains285
9.1 Finite Size Corrections for Quantum Spin Chains285
9.2 Finite Size Corrections for Correlated Electron Chains294
9.3 Elements of Conformal Field Theory304
9.4 Asymptotics of Correlation Functions316
9.5 Persistent Currents in Correlated Electron Rings323
10．Beyond the Integrability:Approximate Methods335
10.1 Scaling Analysis335
10.2 Bosonization339
Bibliography355
Index365