Study on one-dimensional quantum systems with boundaries 境界のある一次元量子系の研究
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著者
書誌事項
- タイトル
-
Study on one-dimensional quantum systems with boundaries
- タイトル別名
-
境界のある一次元量子系の研究
- 著者名
-
浅川, 仁
- 著者別名
-
アサカワ, ヒトシ
- 学位授与大学
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東京大学
- 取得学位
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博士 (理学)
- 学位授与番号
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甲第12372号
- 学位授与年月日
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1997-03-28
注記・抄録
博士論文
目次
- 論文の内容の要旨 / (0003.jp2)
- Contents / p5 (0008.jp2)
- 1 Introduction / p1 (0010.jp2)
- 1.1 Introduction to the thesis / p1 (0010.jp2)
- 1.2 Prehistory of this study / p3 (0011.jp2)
- 2 Finite-size corrections in the XY models with boundaries and with defects / p15 (0017.jp2)
- 2.1 Introduction / p15 (0017.jp2)
- 2.2 XY models with boundary fields / p17 (0018.jp2)
- 2.3 XY models with defects / p30 (0025.jp2)
- 2.4 Summary / p38 (0029.jp2)
- Appendix 2A / p39 (0029.jp2)
- 3 Finite-size corrections in strongly correlated systems with boundaries / p41 (0030.jp2)
- 3.1 Introduction / p41 (0030.jp2)
- 3.2 XXZ model with boundary fields / p42 (0031.jp2)
- 3.3 Hubbard model with boundary fields / p48 (0034.jp2)
- 3.4 Supersymmetric t-J model with boundary fields / p58 (0039.jp2)
- 3.5 Properties of the models with boundaries / p66 (0043.jp2)
- 3.6 Summary / p72 (0046.jp2)
- Appendix 3A / p73 (0046.jp2)
- Appendix 3B / p77 (0048.jp2)
- 4 Boundary contributions to the physical quantities / p85 (0052.jp2)
- 4.1 Introduction / p85 (0052.jp2)
- 4.2 Boundary magnetization of isotropic magnets in open chains / p87 (0053.jp2)
- 4.3 Boundary contributions to the several quantities of the Hubbard model / p103 (0061.jp2)
- 4.4 Summary / p123 (0071.jp2)
- Appendix 4A / p125 (0072.jp2)
- 5 Elementary excitations in the Hubbard model with boundaries / p129 (0074.jp2)
- 5.1 Introduction / p129 (0074.jp2)
- 5.2 Properties of the solutions for the Bethe-ansatz equation of the Hub-bard model with boundaries / p133 (0076.jp2)
- 5.3 Low-lying excited energy in the Hubbard open chain at the SO(4) point / p135 (0077.jp2)
- 5.4 Boundary scattering matrix of the Hubbard open chain at the SO(4) point / p139 (0079.jp2)
- 5.5 Summary / p146 (0083.jp2)
- 6 Summary of the thesis / p147 (0083.jp2)
- Bibliography / p149 (0084.jp2)
