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本頁翻譯進度

燈號說明

審定:無
翻譯:林華觀(簡介並寄信)
編輯:翁唯城(簡介並寄信)

學期研究報告
Term Paper

此學期研究報告占總成績的40%。報告內容應該包括:全文主題的概要說明、正文部分對主題展開論述、結論。在課程的最後一次課的課堂上提交。
The term paper counts as 40% of the course grade. It should contain a short introduction presenting an overview of the topic, a main part developing and discussing the key ideas, and a conclusion. It is due during the last lecture, in class.

學期研究報告相關主題的參考文獻
Topics Suggestions for Term Paper References

以 1), 2)等標識的主題將以課程各部分的順序加以分類。論文以創新和可讀的原則自由選擇。我儘量列出一些大部分讀者感興趣的文章。
Suggested topics numbered by 1), 2) etc. are grouped into categories corresponding to different parts of the course. The papers are selected according to a combination of the novelty and readability criteria applied quite freely. I tried to keep in the list only the papers which one can enjoy reading.


超導
Superconductivity

  1. Abrikosov, A. A. 〈渦流和磁通量量子化〉 (2003, 諾貝爾獎) 《實驗與理論物理學報》 5 (1957): 1174.渦流和磁通量量子化
    Ginzburg-Landau equation 相關背景知識材料可以在 M. Thinkham 的書《超導導論》中找到。
    Abrikosov, A. A. "Vortices and Magnetic Flux Quantization." (2003, Nobel prize) Sov. Phys. JETP 5 (1957): 1174.
    Useful background material on Ginzburg-Landau equation can be found in the book by M. Tinkham, Introduction to Superconductivity.

  2. 〈BCS理論廣義與非零軌道動量及自旋配對〉
    Pitaevskii, L. P. 《實驗與理論物理學報》 10 (1960): 1267;
    Thouless, D. J. 《物理年刊》 10 (1960): 553. New York;
    Brueckner, K. A., T. Soda, P. W. Anderson, 與 P. Morel. 《物理》修訂版 118 (1960): 1442.
    "BCS Theory Generalized to Pairing with Nonzero Orbital Momentum and Spin."
    Pitaevskii, L. P. Sov. Phys. JETP 10 (1960): 1267;
    Thouless, D. J. Ann Phys 10 (1960): 553. New York;
    Brueckner, K. A., T. Soda, P. W. Anderson, and P. Morel. Phys. Rev. 118 (1960): 1442.

  3. 〈非等項對中,氦三液體靪icroKelvin傳輸的實驗觀察解說〉(2003 諾貝爾獎)
    Leggett, A. J. 《物理》修訂版通信. 29 (1972): 1227;
    Leggett, A. J. 《物理》修訂版通信. 31 (1973): 352;
    Leggett, A. J. 《物理學報》 C6 (1973): 3187.
    "The Interpretation of the Experimental Observations of a MicroKelvin Transition in Liquid 3He in Terms of Anisotropic Pairing." (2003, Nobel prize)
    Leggett, A. J. Phys. Rev. Lett. 29 (1972): 1227;
    Leggett, A. J. Phys. Rev. Lett. 31 (1973): 352;
    Leggett, A. J. J. Phys. C6 (1973): 3187.


宏觀系統中的隧道現象
Tunneling in Macroscopic Systems

  1. Affleck, I. 〈隧道現象和熱活動逃脫的一個統一性描述。〉,《物理》修訂版通信. 46 (1981): 388.
    Affleck, I. "A Unified Description of Tunneling and Thermally Activated Escape." Phys. Rev. Lett. 46 (1981): 388.

    考慮在複雜時間的軌道項中,外在週期場的隧道現象模擬。
    Keldysh, L. V., V. Melnikov, 與 B. Ivlev. 〈考慮在複雜時間的軌道項中,外在週期場的隧道現象模擬〉《實驗與理論物理學報》.
    Keldysh, L. V., V. Melnikov, and B. Ivlev. "Tunneling Stimulated by an External Periodic Field Considered in Terms of Trajectories in Complex Time." Sov. Phys. JETP.

  2. 〈場論中的隧道和逃脫現象〉
    Coleman, S. 《物理》修訂版. D15 (1977): 2829;
    Callan, C., 與 S. Coleman. 《物理》修訂版 D16 (1977): 1762.
    "Tunneling and Escape in Field Theory."
    Coleman, S. Phys. Rev. D15 (1977): 2829;
    Callan, C., and S. Coleman. Phys. Rev. D16 (1977): 1762.


量子耗散力學
Quantum Mechanics with Dissipation

  1. 〈量子耗散的Brownian Walks和傳動力學〉
    Schmid, A.
    《物理》修訂版通信 15 (1983): 1506;
    Fisher and Zwerger. 《物理》修訂版 B32 (1985): 6190.
    "Quantum Dissipative Brownian Walks and Driven Dynamics."
    Schmid, A. Phys. Rev. Lett. 15 (1983): 1506;
    Fisher and Zwerger. Phys Rev B32 (1985): 6190.

    耗散量子力學和古典Langevin力學關係的教學法討論
    Schmid, A. 〈耗散量子力學和古典Langevin力學關係的教學法討論〉《物理年刊》 (New York) 170 (1986): 333.
    Schmid, A. "A very Pedagogical Discussion of the Relation Between Dissipative Quantum Dynamics and Classical Langevin Dynamics." Ann. Phys. (New York) 170 (1986): 333.

  2. 〈耗散源的費米液體。重粒子在費米液體中的移動〉
    Josephson和Lekner在七零年代早期首先考慮到這個問題,辯論很長一段時間直到觀念相同。目前情況由最近的 A. Rosch《物理》修訂版總結。
    "Fermi-liquid as a Dissipative Bath. Heavy Particle Moving in Fermi-liquid."
    This problem was first considered by Josephson and Lekner in early 70's and then argued about for a long time until the views converged. The current situation is summarized in a recent review by A. Rosch, Phys. Rep.

    Anderson, P. W. 〈正規事件〉,《物理》修訂版通信. 18 (1967): 1049.
    Anderson, P. W. "Orthogonality Catastrophe." Phys. Rev. Lett. 18 (1967): 1049.


費米液體問題
The Fermi liquid Problem

  1. 動態方程趨近
    Landau, L. D. 〈動態方程趨近〉《實驗與理論物理學報》 3 (1956): 920; 5 (1957): 101.
    Landau, L. D. "Kinetic Equation Approach." Sov. Phys. JETP 3 (1956): 920; 5 (1957): 101.

    Pomeranchuk, I. Ya. 〈藍道費米液體與自發性費米表面破壞的不穩定性〉,《實驗與理論物理學報》 8 (1959): 535.
    Pomeranchuk, I. Ya. "Instabilities of Landau Fermi-liquid via Spontaneous Fermi Surface Deformations." Sov. Phys. JETP 8 (1959): 535.

  2. Tomonaga玻色子的電子電洞激發;費米液體的振盪表示。
    Sawada, K. 《物理》修訂版 106 (1957): 372;
    Sawada, K., et. al. 《物理》修訂版 108 (1957): 507;
    Wentzel, G. 《物理》修訂版. 108 (1957): 1593.
    Particle-hole Excitations as Tomonaga Bosons; Oscillator Representation of Fermi-liquid.
    Sawada, K. Phys. Rev. 106 (1957): 372;
    Sawada, K., et. al. Phys Rev 108 (1957): 507;
    Wentzel, G. Phys. Rev. 108 (1957): 1593.


康多問題
The Kondo Problem

  1. Anderson, P. W., G. Yuval, 與 D. R. Hamann. 〈對數的Kink作用的再正常化群〉 《物理》修訂版. B1 (1970): 4464.
    (可參閱 Anderson, P. W. 〈凝態物理的基本概念〉)
    Anderson, P. W., G. Yuval, and D. R. Hamann. "Renormalization Group from Logarithmic Kink Interaction." Phys. Rev. B1 (1970): 4464.
    (see also Anderson, P. W. "Basic Notions of Condensed Matter Physics.")


  2. Abrikosov, A. A. 〈圖表計算上的再正常化群,關於準費米表示的康多自旋〉《物理》修訂版 2 (1965): 5;
    亦可見Suhl, H. 《物理》修訂版 138 (1965): A515;
    Abrikosov的書《金屬物質基本理論》中也有討論。
    Abrikosov, A. A. "Renormalization Group from Diagrammatic Calculations with Kondo Spin Represented by a Pseudofermion." Physics 2 (1965): 5;
    also Suhl, H. Phys. Rev. 138 (1965): A515;
    see also a discussion in Abrikosov's book Fundamentals of the Theory of Metals.

  3. 大N計算
    Read, N. 〈大N計算〉《物理學報》. C18 (1985): 2651;
    可參閱Hewson, A. C.的書《重費米子的康多問題》
    Read, N. "Large N Calculation." J. Phys. C18 (1985): 2651;
    also see a book by Hewson, A. C. The Kondo Problem to Heavy Fermions.

  4. Anderson, P. W. 〈Anderson模型〉,《物理》修訂版 142 (1961): 41.
    Anderson, P. W. "The Anderson Model." Phys. Rev. 142 (1961): 41.


一維的費米子(拉亭者液體);玻色化
One Dimensional Fermions (Luttinger Liquid); Bosonization

  1. 作用一維費米子與非作用一維玻色子的轉換,最早由 Tomonaga, S. 《理論物理計劃》(京都) 5 (1950): 544提出。
    The Transformation of the Interacting 1D Fermiona to Noninteracting 1D Bosons first appeared in: Tomonaga, S. Progr Theor Phys (Kyoto) 5 (1950): 544.

    反轉換允許於透過玻色場(玻色化)的費米運算子的表示,最早由K. Schotte, and U. Schotte. 《物理》修訂版 182 (1969): 479提出。
    The inverse transformation allowing to express fermi operators through bose fields (bosonization) was first introduced by K. Schotte, and U. Schotte. Phys. Rev. 182 (1969): 479.

    總結可參閱Haldane, F. D. M. 《物理學報》 C14 (1981): 2585 與 Mahan的書《多體物理》
    A good summary can be found in: Haldane, F. D. M. J. Phys. C14 (1981): 2585, and in the book by Mahan, Many-Body Physics.

  2. 〈一維費米系統中的隧道效應〉
    Kane, C., 與 M. P. A. Fisher. 《物理》修訂版通信 68 (1992): 1220;
    《物理》修訂版 B46 (1992): 15223;
    Wen, X. G. 《物理》修訂版 B43 (1991): 11025;
    《物理》修訂版通信 64 (1990): 2206.
    "Tunneling in a 1D Fermi System."
    Kane, C., and M. P. A. Fisher. Phys. Rev. Lett. 68 (1992): 1220;
    Phys. Rev. B46 (1992): 15223;
    Wen, X. G. Phys. Rev. B43 (1991): 11025;
    Phys. Rev. Lett. 64 (1990): 2206.

 
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