分野 |
内容 |
論文 |
備考 |
物性 |
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N. M. Hugenholtz and D. Pines Phys. Rev. 116 489 (1959) |
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Lee-Yang による相転移の理論 |
C. N. Yang and T. D. Lee Phys. Rev. 87 404 (1952) Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation |
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C. N. Yang and T. D. Lee Phys. Rev. 87 410 (1952)Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model |
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Fermi 液体論の厳密な証明 |
"Derivation of the Landau Theory of Fermi Liquids. I. Formal Preliminaries" Phys. Rev. 127 1423-1431 Nozieres and Luttinger |
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"Derivation of the Landau Theory of Fermi Liquids. II. Equilibrium Properties and Transport Equation" Phys. Rev. 127 1431-1440 Nozieres and Luttinger |
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Landau2流体モデル |
L. D. Landau J. Phys. (London) 5 71 (1941) |
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Ultracold atoms |
"Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond" Leweinstein.et.al. |
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Bose Hubbard |
Fisher |
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Optical Lattice |
"Dynamics of Bose-Einstein condensates in optical lattices" Rev. Mod. Phys. 78 179-215 |
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Anderson局在 |
"Absence of Diffusion in Certain Random Lattices" Phys. Rev. 109 1492-1505 |
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FFLO |
Larkin Ovchinnikov "Inhomogeneous state of Superconductors" JETP 20 762 |
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Fulde Ferrell "Superconductivity in a Strong Spin Exchange Field" Phys Rev 135 A550 |
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Theory of Ultracold Fermi Gas |
Stringari and Pitaevskii, Rev. Mod. Phys. |
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Cold Atom |
"Bose-Einstein condensation in the alkali gases: Some fundamental concepts" Leggett Rev. Mod. Phys. 73 307-356 |
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BEC |
"Bose-Einstein Condensation and Liquid Helium" Penrose and Onsager Phys. Rev. 104 576-584 |
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繰り込み群 |
Wilson |
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ベイム-カダノフ保存近似 |
"Conservation Laws and Correlation Functions" Phys. Rev. 124 287–299 |
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ODLRO |
"Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors" Yang Rev. Mod. Phys. 34 694 |
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The stability of matter |
"The stability of matter" Rev. Mod. Phys. 48 553-569 (1976) Elliott H. Lieb |
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Topological Chern insulator |
D. J. Thouless M. Kohmoto M. P. Nightingale M. den Nijs "Quantized Hall Conductance in a Two-Dimensional Periodic Potential" http://prl.aps.org/abstract/PRL/v49/i6/p405_1 M. Kohmoto "Topological invariant and the quantization of the Hall conductance" http://www.sciencedirect.com/science/article/pii/0003491685901484 |
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Flat-band ferromagnetism |
H. Tasaki "From Nagaoka's Ferromagnetism to Flat-Band Ferromagnetism and Beyond" Prog. Theor. Phys. Vol. 99 No. 4 (1998) pp. 489-548 http://ptp.ipap.jp/cgi-bin/link?PTP/99/489/ |
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トポロジカル秩序と非可換統計 |
"Topological degeneracy of non-Abelian states for dummies" Oshikawa et al. http://www.sciencedirect.com/science/article/pii/S0003491606001837 |
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トポロジカル励起 |
Mermin 1979 http://rmp.aps.org/abstract/RMP/v51/i3/p591_1 |
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場の理論 |
スピン-統計性定理 |
W. Pauli Phys. Rev. 58 716-722 (1940) "The Connection Between Spin and Statistics" |
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topological quantum field theory |
E. Witten Commun. Math. Phys. vol. 117, 353(1988) |
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量子開放系 |
カルデラ・レゲット理論 |
A. O. Caldeira and A. J. Leggett "Quantum tunnelling in a dissipative system" Ann. Phys. vol. 149 374-756 (1983) http://dx.doi.org/10.1016/0003-4916(83)90202-6 |
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Friedrichs モデル |
K. O. Friedrichs "On the Perturbation of Continuous Spectra" Communications on Pure and Applied Mathematics vol. 1 361-406 (1948) http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160010404/abstract |
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量子光学 |
光 |
Y. Yamamoto and H. A. Haus "Preparation measurement and information capacity of optical quantum states" Rev. Mod. Phys. 58 1001-1020 (1986). http://rmp.aps.org/abstract/RMP/v58/i4/p1001_1 |
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フォトンカウンティング |
P. L. Kelley and W. H. Kleiner "Theory of Electromagnetic Field Measurement and Photoelectron Counting" Phys. Rev. 136 A316-A334 (1964) http://prola.aps.org/abstract/PR/v136/i2A/pA316_1 |
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量子測定 |
量子測定の基礎 |
E. B. Davies and J. T. Lewis "An Operational Approach to Quantum Probability" Commun. math. Phys. 17 239-260 (1970) http://www.springerlink.com/content/l84800x34763684j/ |
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量子連続測定の一般論 |
A. Barchielli A. M. Paganoni F. Zucca "On stochastic differential equations and semigroups of probability operators in quantum probability" Stochastic Processes and their Applications 73 69-86 (1998) http://www.sciencedirect.com/science/article/pii/S0304414997000938 |
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Quantum Ito calculus |
R. L. Hudson and K. R. Parthasarathy "Quantum Ito's formula and stochastic evolutions" Commun. Math. Phys. 93 301-323 (1984) http://www.springerlink.com/content/r475342gnu684346/ |
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量子情報理論 |
Strong Subadditivity |
M. A. Nielsen D. Petz "A simple proof of the strong subadditivity inequality" http://arxiv.org/abs/quant-ph/0408130 M. B. Ruskai "Another Short and Elementary Proof of Strong Subadditivity of Quantum Entropy" http://arxiv.org/abs/quant-ph/0604206 M. B. Ruskai "Inequalities for Quantum Entropy: A Review with Conditions for Equality" http://arxiv.org/abs/quant-ph/0205064 |
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Kraus |
General state changes in quantum theory |
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Shor の因数分解のアルゴリズム |
http://arxiv.org/abs/quant-ph/9508027 |
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トポロジカル量子計算(toric code) |
Kitaev http://www.sciencedirect.com/science/article/pii/S0003491602000180 Kitaev Laumann http://arxiv.org/abs/0904.2771 |
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量子論基礎 |
実在とは何か |
EPR "Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?" http://link.aps.org/doi/10.1103/PhysRev.47.777N. Bohr "Can Quantum-Mechanical Description of Physical Reality be Considered- Complete?" http://link.aps.org/doi/10.1103/PhysRev.48.696 |
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隠れた変数 |
コヘンシュペッカー, Bell |
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Shannonの情報理論 |
C. E. Shannon "A mathematical theory of communication" http://portal.acm.org/citation.cfm?id=584093 |
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確率過程論 |
Ito 公式 |
Kiyoshi Ito "On stochastic differential equations." Mem. Amer.
Math. Soc. 4,1-51. |
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非平衡 |
線形応答理論 |
"Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems" R. Kubo J. Phys. Soc. Jpn. 12 (1957) 570. |
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"Statistical-Mechanical Theory of Irreversible Processes. II. Response to Thermal Disturbance" J. Phys. Soc. Jpn. 12 (1957) Ryogo Kubo Mario Yokota and Sadao Nakajima |
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ゆらぎの定理 |
Gavin E. Crooks "Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences" Phys. Rev. E 60 2721–2726 (1999) http://pre.aps.org/pdf/PRE/v60/i3/p2721_1 ; Gavin E. Crooks "Path-ensemble averages in systems driven far from equilibrium" Phys. Rev. E 61 2361–2366 (2000) http://pre.aps.org/abstract/PRE/v61/i3/p2361_1 |
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定常状態熱力学 |
"Steady State Thermodynamics" Sasa and Tasaki http://www.springerlink.com/content/919n845708247234/ |
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論理学 |
ゲーデルの(不)完全性定理 |
Kurt Gödel “Über formal unentscheidbare Sätze der Principia Mathematica
und verwandter Systeme, I " Monatshefte für Mathematik und Physik.
38: 173-98. 1931 (邦訳: 林晋・八杉満利子訳・解説 『ゲーデル 不完全性定理』 岩波書店,2006年 4-00-3-39441-0;廣瀬健・横田一正著『ゲーデルの世界―完全性定理と不完全性定理―』海鳴社、1985年);
Kurt Gödel, "Über die Vollständigkeit des Logikkalküls", doctoral
dissertation, University Of Vienna, 1929 (邦訳: 廣瀬健/横田一正著『ゲーデルの世界―完全性定理と不完全性定理―』海鳴社、1985年) |
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チューリングマシン停止性問題 |
Alan Turing “On computable numbers,with an application to the Entscheidungsproblem” Proceedings of the London Mathematical Society,Series 2,vol. 42,pp. 230–265,1937 http://plms.oxfordjournals.org/content/s2-42/1/230 |
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Kolmogorov compexity |
Kolmogorov,Andrei N. (1963). "On Tables of Random Numbers". Theoretical Computer Science 207 (2): 387--395. http://www.sciencedirect.com/science/article/pii/S0304397598000759 |
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宇宙 |
特異点定理 |
S. Hawking and R. Penrose Proc. Roy. Soc. London A 314 529 (1970) "The singularities of gravitational collapse and cosmology" |
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Kibble-Zurek |
T. W. B. Kibble. J. Phys. A 9,1387(1976); W. H. Zurek,Nature(London) 317,(1985) |
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制御工学 |
カルマンフィルタ |
"A new approach to linear filtering and prediction problems" R. E. Kalman (1960) Journal of Basic Engineering 82 (1) |
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統計力学 |
AKLT model |
"Rigorous results on valence-bond ground states in antiferromagnets" Affleck Kennedy Lieb Tasaki PRL 59 799-802 (1987); "Valence bond ground states in isotropic quantum antiferromagnets" Affleck Kennedy Lieb Tasaki CMP 3 477-528 (1988) |
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対称性の破れと長距離秩序 |
Koma and Tasaki 1993 http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.cmp/1104254136 |
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格子ゲージ理論 |
"An introduction to lattice gauge theory and spin systems" John B. Kogut Rev. Mod. Phys. 51 659 (1979) |
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文献 |
物理全般 |
THE NET ADVANCE OF PHYSICS http://web.mit.edu/afs/athena.mit.edu/user/r/e/redingtn/www/netadv/welcome.html |
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物性レヴュー |
Physics Literature Condensed Matter Theory by Akakii Melikidze http://web.mit.edu/redingtn/www/netadv/biblio2.html |
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物性最新 |
Journal Club for Condensed Matter Physics http://www.condmatjournalclub.org/ |
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