Embedded Files
"Nein. Das ist für Mich."
Das Leben der Anderen, 2006
"Control theory does not deal directly with physical reality
but with mathematical models."
Control theory, Encyclopedia Britannica
Links
Links
Most parts in the following list of physics and math literature comes from
and the others are given with some links to open-access pdf files or webpages.
See also nice comments on literature (in Japanese)
Landau-Lifshitz Course of Theoretical Physics
Landau-Lifshitz Course of Theoretical Physics
"Nur Beharrung führt zum Ziel, Nur die Fülle führt zur Klarheit,
Und im Abgrund wohnt die Wahrheit."
"Leads persistence to the goal; Leads abundance to precision;Dwells in the abyss the Vision."F. Schiller (Translated by G. Macdonald)
L. D. Landau and E. M. Lifshitz, Mechanics, 東京図書 (28/5/2022)
L. D. Landau and E. M. Lifshitz, The classical theory of fields, 東京図書 (28/3/2022)
L. D. Landau and E. M. Lifshitz, Quantum mechanics, 東京図書 (18/4/2022)
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic quantum theory
L. D. Landau and E. M. Lifshitz, Statistical physics
L. D. Landau and E. M. Lifshitz, Fluid mechanics, 東京図書 (13/5/2022)
L. D. Landau and E. M. Lifshitz, Theory of elasticity
L. D. Landau and E. M. Lifshitz, Electrodynamics of continuum media
E. M. Lifshitz and L. P. Pitaevskii, Statistical physics Part 2
E. M. Lifshitz and L. P. Pitaevskii, Physical kinetics
- You can download these books (in English) from archive.org.
- See also the following website by Yu Nakayama, which gives some comments on this series (in Japanese): https://sites.google.com/site/landaufun/home.
- I. E. Dzyaloshinski, レフ・ランダウ：ひとつの科学的ステイル (link)
L. D. Landau, A. I. Akhiezer and E. M. Lifshitz, General Physics; Mechanics and Molecular Physics, 岩波書店
Physics in general
Physics in general
J. C. Slater and N. H. Frank, Introduction to theoretical physics, 岩波書店 (16/5/2022)
三角樹弘、コア・テキスト物理学: 現象に潜む普遍性の理解へ、サイエンス社
- D. Tong, Lectures on theoretical physics (webpage): classical mechanics; electromagnetism; quantum mechanics; condensed matter physics; statistical physics; gravitation and cosmology; quantum field theory; supersymmetry and string theory
Pauli Lectures on Physics
W. Pauli, Electrodynamics
W. Pauli, Optics and the theory of electrons
W. Pauli, Thermodynamics and the kinetic theory of gases
W. Pauli, Statistical mechanics
W. Pauli, Wave mechanics
W. Pauli, Selected topics in field quantization
The Feynman Lectures on Physics
岩波講座 現代物理学の基礎
T. Sagawa, Entropy, divergence, and majorization in classical and quantum thermodynamics, Springer [arXiv:2007.09974 [quant-ph]]
Fluid mechanics
Fluid mechanics
巽友正、流体力学、培風館
今井功、流体力学（前編）、裳華房
Solid state physics/condensed matter physics
Solid state physics/condensed matter physics
永宮健夫、松原武生、植村泰忠、久保亮五、山下次郎、橋口隆吉、固体物理学、岩波書店 (15/3/2022)
小口武彦、磁性体の統計理論、裳華房 (18/3/2022)
C. Kittel, Introduction to solid state physics
N. W. Ashcroft and N. D. Mermin, Solid state physics
G. Grosso and G. P. Parravicini, Solid state physics, 吉岡書店 (11/8/2022)
野村健太郎、トポロジカル絶縁体・超伝導体
P. M. Chaikin and T. C. Lubensky, Principles of condensed matter physics
M. El-Batanouny, Advanced quantum condensed matter physics: one-body, many-body, and topological perspectives
E. H. Lieb and R. Seiringer, The stability of matter in quantum mechanics
- P. Kopietz, Bosonization of interacting fermions in arbitrary dimensions, Springer [arXiv:cond-mat/0605402]
Relativity
Relativity
W. Pauli, Theory of relativity
C. Møller, The theory of relativity, みすず書房 (14/3/2022)
内山龍雄、一般相対性理論
R. M. Wald, General relativity, The University of Chicago Press (30/4/2022)
須藤靖、一般相対論入門
D. J. Griffiths, D. Derbes and R. B. Sohn, Sidney Coleman’s lectures on relativity, Cambridge University Press (10/7/2022)
Quantum mechanics
Quantum mechanics
山内恭彦、量子力学、培風館 (17/3/2022)
荒木源太郎、量子力学、培風館
朝永振一郎、量子力学、みすず書房 (24/3/2022)
P. A. M. Dirac, The principles of quantum mechanics
A. Messiah, Quantum mechanics
L. I. Schiff, Quantum mechanics
小谷正雄、梅沢博臣、小幡行雄、水野幸雄、江沢洋、大学演習量子力学、裳華房 (6/4/2022)
後藤憲一、西山敏之、山本邦夫、望月和子、神吉健、興地斐男、詳解理論応用量子力学演習、共立出版 (15/4/2022)
B. d’Espagnat, Conceptual foundations of quantum mechanics, 岩波書店 (24/7/2022)
J. J. Sakurai, Modern quantum mechanics
井田大輔、現代量子力学入門
三角樹弘、コア・テキスト 量子力学: 基礎概念から発展的内容まで、サイエンス社
S. Weinberg, Lectures on quantum mechanics
R. P. Feynman and A. R. Hibbs, Quantum mechanics and path integrals
崎田文二、吉川圭二、経路積分による多自由度の量子力学
羽田野直道、井村健一郎、非エルミート量子力学、講談社 (30/6/2023)
A. M. Perelomov and Ya. B. Zel’dovich, Quantum mechanics: selected topics, World Scientific (17/12/2023)
- (See also 亀淵迪, 量子力学教科書のテスト("A test of textbooks on quantum mechanics"), 日本物理学会誌, 1974 (webpage))
Mathematical foundation
新井朝雄、江沢洋、量子力学の数学的構造、朝倉書店 (11/5/2022)
新井朝雄、量子現象の数理
木村俊房、スペクトル理論I
黒田成俊、スペクトル理論II
- P. Woit, Quantum theory, groups and representations: an introduction, Springer (pdf)
Atomic physics
Atomic physics
荒木源太郎、原子物理学、培風館 (19/3/2022)
Nuclear physics
Nuclear physics
L. D. Landau and Ya. Smorodinsky, Lectures on nuclear theory
八木浩輔、原子核物理学
高田健次郎、原子核構造論
高田健次郎、原子核反応論
熊野俊三、原子核物理学
砂川重信、散乱の量子論
笹川辰弥、散乱理論
A. Obertelli and H. Sagawa, Modern nuclear physics: from fundamentals to frontiers
S. A. Rakityansky, Jost functions in quantum mechanics: a unified approach to scattering, bound, and resonant state problems
- (The nuclear physics bible: A. Bohr and B. R. Mottelson, Nuclear structure, World Scientific)
Relativistic quantum mechanics and radiation
Relativistic quantum mechanics and radiation
W. Heitler, The quantum theory of radiation, Dover publications (25/5/2022)
J. J. Sakurai, Advanced quantum mechanics
西島和彦、相対論的量子力学
Quantum field theory
Quantum field theory
"Die Natur ist ein unendlich geteilter Gott."
F. Schiller
C. Itzykson and J.-B. Zuber, Quantum field theory
M. E. Peskin and D. V. Schroeder, An introduction to quantum field theory
M. Srednicki, Quantum field theory, Cambridge University Press (24/4/2022)
S. Weinberg, The quantum theory of fields
M. Henneaux and C. Teitelboim, Quantization of gauge systems, Princeton University Press (31/10/2023)
藤川和男、ゲージ場の理論
九後汰一郎、ゲージ場の量子論
石川健三、場の量子力学
L. Álvarez-Gaumé and M. Á. Vázquez-Mozo, An invitation to quantum field theory (3/11/2023)
E. Fradkin, Quantum field theory: an integrated approach, Princeton University Press (18/5/2022)
J. C. Collins, Renormalization, Cambridge University Press (30/3/2022)
F. Gelis, Problems in quantum field theory
L. Baulieu, J. Iliopoulos, and R. Sénéor, From classical to quantum fields, Oxford University Press (22/11/2023)
- P. Ramond, Field theory: a modern primer (webpage)
- G. 't Hooft, The conceptual basis of quantum field theory (pdf)
- P. van Baal, A course in field theory, Taylor & Francis (open access)
J. Glimm and A. Jaffe, Quantum physics: a functional integral point of view
B. DeWitte, The global approach to quantum field theory
R. Ticciati, Quantum field theory for mathematicians, Cambridge University Press (16/6/2022)
F. Strocchi, An introduction to non-perturbative foundations of quantum field theory
E. Abdalla, M. C. B. Abdalla and K. D. Rothe, Non-perturbative methods in 2 dimensional quantum field theory
M. Talagrand, What is a quantum field theory?: a first introduction for mathematicians, Cambridge University Press (16/6/2022)
D. Calaque and T. Strobl, Mathematical aspects of quantum field theories
B. De Witt, The global approach to quantum field theory
- W. Siegel, Fields [arXiv:hep-th/9912205]
- S. Weinzierl, Feynman integrals [arXiv:2201.03593 [hep-th]]
- J. Zinn-Justin, Perturbative series at large orders in quantum mechanics and field theories: application to the problem of resummation [INSPIRE]
- M. Beneke, Renormalons [arXiv:hep-ph/9807443]
- N. Vandersickel and D. Zwanziger, The Gribov problem and QCD dynamics [arXiv:1202.1491 [hep-th]]
- J. Collins, Foundations of perturbative QCD, Cambridge University Press (oapen)
Some topics in quantum field theory
Some topics in quantum field theory
Quantum anomaly
K. Fujikawa and H. Suzuki, Path integrals and quantum anomalies, Oxford University Press (19/2/2023)
- J. A. Harvey, Lectures on anomalies [arXiv:hep-th/0509097]
- A. Bilal, Lectures on anomalies [arXiv:0802.0634 [hep-th]]
- D. B. Kaplan, Effective field theories [arXiv:nucl-th/9506035]
- D. B. Kaplan, Five lectures on effective field theories [arXiv:nucl-th/0510023]
- T. Brauner, Effective field theory for spontaneously broken symmetry, Springer (open access)
Finite temperature
M. Le Bellac, Thermal field theory
- M. Laine and A. Vuorinen, Basics of thermal field theory: a tutorial on perturbative computations, Springer [arXiv:1701.01554 [hep-ph]]
- N. Haque and M. G. Mustafa, Hard Thermal Loop -- theory and applications, Elsevier [arXiv:2404.08734 [hep-ph]]
Miscellaneous
大貫義郎、ポアンカレ群と波動方程式、岩波書店 (31/3/2022)
大貫義郎、場の量子論、岩波書店 (31/5/2022)
S. Coleman, Aspects of symmetry
R. Rajaraman, Solitons and instantons, Elsevier (2/5/2022)
G. 't Hooft, Under the spell of the gauge principle, World Scientific (29/11/2022)
- A. M. Polyakov, Gauge fields and strings, Taylor & Francis (open access)
- E. Shuryak, Nonperturbative topological phenomena in QCD and related theories, Springer [arXiv:1812.01509 [hep-th]]
- H. Elvang and Y.-t. Huang, Scattering amplitudes in gauge theory and gravity, Cambridge University Press [arXiv:1308.1697 [hep-th]]
Constructive/Algebraic quantum field theory
R. Haag, Local quantum physics, Springer-Verlag (13/4/2022)
江沢洋、新井朝雄、場の量子論と統計力学
Elementary particle physics
Elementary particle physics
T.-P. Cheng and L.-F. Li, Gauge theory of elementary particle physics
細谷裕、ゲージヒッグス統合理論：素粒子標準理論のその先へ
M. E. Peskin, Concepts of elementary particle physics, 森北出版 (2/7/2022)
Statistical field theory
Statistical field theory
G. Parisi, Statistical field theory
J. Zinn-Justin, Quantum field theory and critical phenomena, Oxford University Press (8/4/2022)
C. Itzykson and J.-M. Drouffe, Statistical field theory
M. Le Bellac, Quantum and statistical field theory, Oxford University Press (15/5/2022)
G. Mussardo, Statistical field theory: an introduction to exactly solved models in statistical physics
- M. Helias and D. Dahmen, Statistical field theory for neural networks, Springer [arXiv:1901.10416 [cond-mat.dis-nn]]
Renormalization group
Renormalization group
N. Goldenfeld, Lectures on phase transitions and the renormalization group, CRC Press (22/5/2022)
D. J. Amit and V. Martin-Mayer, Field theory, the renormalization group and critical phenomena: graphs to computers
江沢洋、渡辺敬二、鈴木増雄、田崎晴明、くりこみ群の方法
J. Cardy, Scaling and renormalization in statistical physics
J. Zinn-Justin, Phase transitions and renormalization group
田崎晴明、原隆、相転移と臨界現象の数理
- (Bible: K. G. Wilson and J. B. Kogut, The renormalization group and the ϵ expansion, Phys. Rept. 12, 75-199 (1974))
(See also books in "statistical mechanics," "condensed matter physics" and "statistical field theory.")
Lattice field theory
Lattice field theory
M. Creutz, Quarks, gluons and lattices
I. Montvay and G. Münster, Quantum fields on a lattice
G. Kilcup and S. Sharpe, Phenomenology and lattice QCD: proceedings of the 1993 Vehling summer school
青木慎也、格子上の場の理論、丸善出版 (12/4/2022)
J. Smit, Introduction to quantum fields on a lattice, Cambridge University Press (16/10/2022)
H. J. Rothe, Lattice gauge theories: an introduction
C. Gattringer and C. B. Lang, Quantum chromodynamics on the lattice, Springer (6/5/2022)
J. Greensite, An introduction to the confinement problem
- D. B. Kaplan, Chiral symmetry and lattice fermions [arXiv:0912.2560 [hep-lat]]
- S. Schäfer, Simulations with the hybrid Monte Carlo algorithm: implementation and data analysis, Les Houches 2009 (webpage with sample codes)
- See also lecture notes by M. Lüscher (website)
Cosmology
Cosmology
D. Baumann, Cosmology, Cambridge University Press (14/8/2022)
- A. Linde, Particle physics and inflationary cosmology [arXIv:hep-th/0503203]
Supersymmetry and supergravity
Supersymmetry and supergravity
J. Wess and J. Bagger, Supersymmetry and supergravity
藤井保憲、超重力理論入門
坂本眞人、量子力学から超対称性へ -超対称性のエッセンスを捉える-
太田信義、坂井典佑、超対称性理論 -現代素粒子論の基礎として-
大河内豊、超対称性の破れ
- S. P. Martin, A supersymmetry primer [arXiv:hep-ph/9709356]
- N. Polonsky, Supersymmetry structure and phenomena: extensions of the standard model, Springer [arXIv:hep-ph/0108236]
- F. Cooper, A. Khare, U. Sukhatme, Supersymmetry and quantum mechanics, Phys. Rept. 251, 267-385 (1995) [arXiv:hep-th/9405029]
Conformal field theory
Conformal field theory
C. Itzykson, H. Saleur and J.-B. Zuber, Conformal invariance and applications to statistical mechanics, World Scientific (10/6/2022)
P. Di Francesco, P. Mathieu and D. Senechal, Conformal field theory
江口徹、菅原祐二、共形場理論
Y. Frishman and J. Sonnenschein, Non-perturbative field theory: from two-dimensional conformal field theory to QCD in four dimensions, Cambridge University Press (9/5/2022)
中山優、高次元共形場理論への招待
String theory
String theory
M. B. Green, J. H. Schwarz and E. Witten, Superstring theory, Cambridge University Press (2/4/2022)
吉川圭二、弦の量子論: 超弦理論への道、朝倉書店 (4/6/2022)
J. Polchinski, String theory
B. Zweibach, A first course in string theory
細道和夫、弦とブレーン、朝倉書店 (20/4/2022)
R. Blumenhagen, D. Lüst and S. Theisen, Basic concepts of string theory
S. Cecotti, Introduction to string theory
- R. J. Szabo, An introduction to string theory and D-brane dynamics, Imperial College Press [arXiv:hep-th/0207142]
- G. 't Hooft, Introduction to string theory (webpage)
- X. Yin, Foundations of String Theory (webpage)
- See also "String Theory Wiki."
Miscellaneous
P. Deligne et al., Quantum fields and strings: a course for mathematicians
M. Marino, Chern-Simons theory, matrix models, and topological strings, Oxford University Press (19/12/2022)
- A. Pasquinucci, 2d N=2 Landau-Ginzburg models, PhD SISSA, Trieste [INSPIRE]
Quantum gravity
Quantum gravity
M. Reuter and F. Saueressig, Quantum gravity and the functional renormalization group: the road towards asymptotic safety, Cambridge University Press (27/5/2022)
太田信義、漸近的安全性による重力の量子論へのアプローチ
- R. Loll, G. Fabiano, D. Frattulillo and F. Wagner, Quantum gravity in 30 questions [arXiv:2206.06762 [hep-th]]
Mathematics in general
Mathematics in general
V. I. Smirnov, A course in higher mathematics, 共立出版 (17/6/2022)
Functional analysis
Functional analysis
黒田成俊、関数解析
藤田宏、黒田成俊、伊藤清三、関数解析
松井卓、作用素環と無限量子系
C. Mitschi and D. Sauzin, Divergent series, summability and resurgence I: monodromy and resurgence
M. Loday-Richaud, Divergent series, summability and resurgence II: simple and multiple summability
E. Delabaere, Divergent series, summability and resurgence III: resurgent methods and the first Painleve equation
Number theory
Number theory
彌永昌吉、数論
J. H. Silverman, A friendly introduction to number theory
R. Crandall and C. Pomerance, Prime numbers: a computational perspective, Springer (26/4/2022)
Logic
Logic
金子晃、数理基礎論講義、サイエンス社 (14/4/2022)
Programming language
Programming language
C, C++
柴田望洋、解きながら学ぶC言語
塚越一雄、はじめてのC++
B. Stroustrup, The C++ programming language, SBクリエイティブ (10/4/2022)
Others
牛島省、数値計算のためのFortran90/95プログラミング入門
T. Maher, Minimal Perl
進藤裕之、1から始めるJuliaプログラミング
永井佑紀、1週間で学べる！Julia数値計算プログラミング、講談社 (25/6/2022)
M. Lipovaca, Learn you a Haskell for great good!
初田直也 et al., 実践Rustプログラミング入門
J. Blandy, J. Orendorff and L. F. S. Tindall, Programming Rust
TeX
奥村晴彦、LaTeX2ε美文書作成入門
- A series of mathematical/computer programming problems: Project Euler (https://projecteuler.net/)
Machine Learning
Machine Learning
田中章詞、富谷昭夫、橋本幸士、ディープラーニングと物理学: 原理がわかる、応用ができる
富谷昭夫、これならわかる機械学習入門
- D. A. Roberts, S. Yaida and B. Hanin, The principles of deep learning theory: an effective theory approach to understanding neural networks, Cambridge University Press [arXiv:2106.10165 [cs.LG]]
Takahiko Yamanouchi
山内恭彦、逸遊雑記、岩波書店
Werner Heisenberg
W. Heisenberg, Physics and beyond [the part and the whole]
- J. H. Schwarz, The early history of string theory and supersymmetry [arXiv:1201.0981 [physics.hist-ph]]
- J. Polchinski, Memories of a theoretical physicist [arXiv:1708.09093 [physics.hist-ph]]
Math
I. Ekeland, The best of all possible worlds: mathematics and destiny, みすず書房 (29/3/2022)
Philosophy
B. Russell, The history of western philosophy, Simon & Schuster (27/4/2022)
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