Collected Papers of L.D. Landau

Frontispiece

Preface

Introduction


1. On the Theory of the Spectra of Diatomic Molecules (Z. Phys., 40, 621, 1926)


2. The Damping Problem in Wave Mechanics (Z. Phys., 45, 430, 1927)


3. Quantum Electrodynamics in Configuration Space (Z. Phys., 62, 188, 1930; with R. Peierls)


4. Diamagnetism of Metals (Z. Phys., 64, 629, 1930)


5. Note on the Scattering of Hard Gamma-Rays (Naturwiss., 18, 1112, 1930)


6. Extension of the Uncertainty Principle to Relativistic Quantum Theory (Z. Phys., 69, 56, 1931; with R. Peierls)


7. A Theory of Energy Transfer on Collisions (Phys. Z. Sowjet., 1, 88, 1932)


8. On the Theory of Stars (Phys. Z. Sowjet., 1, 285, 1932)


9. A Theory of Energy Transfer II (Phys. Z. Sowjet., 2, 46, 1932)


10. Electron Motion in Crystal Lattices (Phys. Z. Sowjet., 3, 664, 1933)


11. On the Second Law of Thermodynamics and the Universe (Phys. Z. Sowjet., 4, 114, 1933; with M. Bronstein)


12. A Possible Explanation of the Field Dependence of the Susceptibility at Low Temperatures (Phys. Z. Sowjet., 4, 675, 1933)


13. Internal Temperature of Stars (Nature, 132, 567, 1933; with G. Gamow)


14. Structure of the Undisplaced Scattering Line (Phys. Z. Sowjet., 5, 172, 1934; with G. Placzek)


15. On the Theory of the Slowing Down of Fast Electrons by Radiation, (JETP*, 5, 255, 1935; Phys. Z. Sowjet., 5, 761, 1934)


16. On the Production of Electrons and Positrons by a Collision of Two Particles (Phys. Z. Sowjet., 6, 244, 1934; with E. Lifshitz)


17. On the Theory of Specific Heat Anomalies (Phys. Z. Sowjet., 8, 113, 1935)


18. On the Theory of the Dispersion of Magnetic Permeability in Ferromagnetic Bodies [Phys. Z. Sowjet, 8, 153, 1935; with E. Lifshitz)


19. On the Relativistic Correction of the Schrödinger Equation for the Many-Body Problem (Phys. Z. Sowjet., 8, 487, 1935)


20. On the Theory of the Accommodation Coefficient (Phys. Z. Sowjet., 8, 489, 1935)


21. On the Theory of the Photoelectromotive Force in Semiconductors (Phys. Z. Sowjet., 9, 477, 1936; with E. Lifshitz)


22. On the Theory of Sound Dispersion (Phys. Z. Sowjet., 10, 34, 1936; with E. Teller)


23. On the Theory of Uni-Molecular Reactions (Phys. Z. Sowjet., 10, 67, 1936)


24. The Transport Equation in the Case of Coulomb Interactions (JETP, 7, 203, 1937; Phys. Z. Sowjet., 10, 154, 1936)


25. On the Properties of Metals at Very Low Temperatures (JETP, 7, 379, 1937; Phys. Z. Sowjet., 10, 649, 1936; with I. Pomeranchuk)


26. Scattering of Light by Light (Nature, 138, 206, 1936; with A. Akhiezer and 1. Pomeranchuk)


27. On the Origin of Stellar Energy (C, R. Acad. Sei. URSS, 17, 305, 1937; Dokl. Akad. Nauk SSSR., 17, 301, 1937; Nature, 141, 333, 1938)


28. On the Absorption of Sound in Solids (Phys. Z. Sowjet., 11,18,1937; with G. Rumer)


29. On the Theory of Phase Transitions (I: Phys. Z. Sowjet., 11, 26, 1937; JETP, 7, 19, 1937; II: Phys. Z. Sowjet., 11, 545, 1937; JETP, 7, 627, 1937)


30. On the Theory of Superconductivity (JETP, 7, 371, 1937; Phys. Z. Sowjet., 11, 129, 1937) 31. On the Statistical Theory of Nuclei (Phys. Z. Sowjet., 11, 556, 1937; JETP, 7, 819, 1937)


32. X-Ray Scattering by Crystals in the Neighbourhood of the Curie Point (Phys. Z. Sowjet., 12, 123, 1937; JETP, 7, 1232, 1937)


33. The Scattering of X-Rays by Crystals with Variable Lamellar Structure (Phys. Z. Sowjet., 12, 579, 1937; JETP, 7, 1227, 1937)


34. Production of Showers by Heavy Particles (Nature, 140, 682, 1937; with G. Rumer)


35. Stability of Neon and Carbon with Respect to α-Particle Disintegration (Phys. Rev., 52, 1251, 1937)


36. The Cascade Theory of Electronic Showers (Proc. Roy. Soc., A166, 213, 1938; with G. Rumer)


37. The Intermediate State of Supraconductors (Nature, 141, 688, 1938)


38. On the de Haas-van Alphen Effect (Proc. Roy. Soc., A170, 363, 1939)


39. On the Polarisation of Electrons by Scattering (Phys. Rev., 57, 548, 1940)


40. On the Nature of the Nuclear Forces (Phys. Rev., 58, 1006, 1940; C. R. Acad. Sei. URSS, 29, 556, 1940; with I. Tamm)


41. On the "Radius" of the Elementary Particles (J.Phys. U.S.S.R., 2, 485, 1940; Phys. Rev., 58, 1006, 1940; JETP, 10, 718, 1940)


42. On the Scattering of Mesotrons by "Nuclear Forces" (J. Phys. U.S.S.R., 2, 483, 1940; JETP, 10, 721, 1940)


43. The Angular Distribution of the Shower Particles (J. Phys. U.S.S.R., 3,237,1940; JETP, 10, 1007, 1940)


44. On the Theory of Secondary Showers (J. Phys. U.S.S.R., 4, 375, 1941; JETP, 11, 32, 1941)


45. On the Scattering of Light by Mesotrons (J. Phys. U.S.S.R., 4, 455,1941; JETP, 11, 35, 1941; with J. Smorodinski)


46. The Theory of Superfluidity of Helium II (J. Phys. U.S.S.R., 5, 71, 1941; JETP, 11, 592, 1941)


47. A Theory of the Stability of Strongly Charged Lyophobic Sols and the Coalescence of Strongly Charged Particles in Electrolytic Solutions (JETP, 15, 663, 1945; Acta Phys.-chim. URSS, 14, 633, 1941; with B. Deryagin)


48. Dragging of a Liquid by a Moving Plate (Acta Phys.-chim. URSS, 17, 42, 1942 ; with B. Levich)


49. On the Theory of the Intermediate State of Superconductors (J. Phys. U.S.S.R., 7, 99, 1943; JETP, 13, 377, 1943)


50. On the Relation between the Liquid and the Gaseous States of Metals (Acta Phys.-chim. URSS, 18, 194, 1943; JETP, 14, 32, 1944; with J. Zeldovich)


51. A New Exact Solution of the Navier-Stokes Equations (C. R. Acad. Sci. URSS, 43, 286, 1944; Dokl. Alcad. Nauk SSSR, 43, 299, 1944)


52. On the Problem of Turbulence (C. R. Acad. Sei. URSS, 44, 311, 1944; Dokl. Akad. Nauk SSSR, 44, 339, 1944)


53. On the Hydrodynamics of Helium II (J. Phys. U.S.S.R., 8, 1, 1944; JETP, 14, 112, 1944)


54. On the Theory of Slow Combustion (Acta Phys.-chim. URSS, 19, 77, 1944; JETP, 14, 240, 1944)


55. On the Theory of Scattering of Protons by Protons (J. Phys. U.S.S.R., 8, 154, 1944; JETP, 14, 269, 1944; with J. Smorodinski)


56. On the Energy Loss of Fast Particles by Ionisation (J. Phys. U.S.S.R., 8, 201, 1944)


57. On a Study of the Detonation of Condensed Explosives (C. R. Acad. Sei. URSS, 46, 362, 1945; Dokl. Akad. Nauk SSSR, 46, 399, 1945; with K. P. Staniukovich)


58. The Determination of the Flow Velocity of the Detonation Products of Some Gaseous Mixtures (G. R. Acad. Sci. URSS, 47, 199, 1945; Dokl. Akad. Nauk SSSR, 47, 205, 1945; with K. P. Staniukovich)


59. Determination of the Flow Velocity of the Detonation Products of Condensed Explosives (C. R. Acad. Sci. URSS. 47, 271, 1945; Dok. Akad. Nauk SSSR, 47, 273, 1945; with K. P. Staniukovich)


60. On Shock Waves at Large Distances from the Place of their Origin (J. Phys. U.S.S.R., 9, 496, 1945; Prikl. Mat. Mekh. 9, 286, 1945)


61. On the Vibrations of the Electronic Plasma (J. Phys. U.S.S.R. 10, 25, 1946; JETP, 16, 574, 1946)


62. On the Thermodynamics of Photoluminescence (J. Phys. U.S.S.R., 10, 503, 1946)


63. On the Theory of Superfluidity of Helium II (J. Phys. U.S.S.R., 11, 91, 1947)


64. On the Motion of Foreign Particles in Helium II (Dokl. Akad. Nauk SSSR, 59, 669, 1948; with I. Pomeranchuk)


65. On the Angular Momentum of a System of Two Photons (Dokl. Akad. Nauk SSSR, 60, 207, 1948)


66. On the Theory of Superfluidity (Phys. Rev., 75, 884, 1949; Dokl Akad. Nauk SSSR, 61, 253, 1948)


67. The Effective Mass of the Polaron (JETP, 18, 419, 1948; with S. I. Pekar)


68. On the Theory of Energy Transfer during Collisions III (JETP, 18, 750, 1948; with E. Lifshitz)


69. The Theory of the Viscosity of Helium II: I. Collisions of Elementary Excitations in Helium II (JETP, 19, 637, 1949; with I. M. Khalatnikov)


70. The Theory of the Viscosity of Helium II. II Calculation of the Viscosity Coefficient (JETP, 19, 709, 1949; with I. M. Khalatnikov)


71. On the Electron-Positron Interaction (JETP, 19, 673, 1949; with V. B. Berestetskii)


72. The Equilibrium Form of Crystals (A. F. Ioffe Festschrift, Moscow 1950, p. 44)


73. On the Theory of Superconductivity (JETP, 20, 1064, 1950; with V. L. Ginzburg)


74. On Multiple Production of Particles during Collisions of Fast Particles (Izv. Akad. Nauk SSSR, Ser. fiz., 17, 51, 1953)


75. The Limits of Applicability of the Theory of Bremsstrahlung by Electrons and of the Creation of Pairs at Large Energies (Dokl. Akad, Nauk SSSR, 92, 535, 1953; with I. Pomeranchuk)


76. Electron-Cascade Processes at Ultra-High Energies (Dokl. Akad. Nauk SSSR, 92, 735, 1953; with I. Pomeranchuk)


77. Emission of γ-Quanta during the Collision of Fast π-Mesons with Nucléons (JETP, 24, 505, 1953; with I. Pomeranchuk)


78. The Removal of Infinities in Quantum Electrodynamics (Dokl. Akad. Nauk SSSR, 95, 497, 1954; with A. A. Abrikosov and I. M. Khalatnikov)


79. An Asymptotic Expression for the Electron Green Function in Quantum Electrodynamics (Dokl. Akad. Nauk SSSR, 95, 773, 1954; with A. A. Abrikosov and I. M. Khalatnikov)


80. An Asymptotic Expression for the Photon Green Function in Quantum Electrodynamics (Dokl. Akad. Nauk. SSSR, 95,1177, 1954; with A. A. Abrikosov and I. M. Khalatnikov)


81. The Electron Mass in Quantum Electrodynamics (Dokl. Akad. Nauk SSSR, 96, 261, 1954; with A. A. Abrikosov and I. M. Khalatnikov)


82. On the Anomalous Absorption of Sound Near a Second-Order Phase Transition Point (Dokl. Akad. Nauk SSSR, 96, 469, 1954; with I. M. Khalatnikov)


83. A Study of Flow Singularities Using the Euler-Tricomi Equation (Dokl. Akad. Nauk SSSR, 96, 725, 1954; with E. M. Lifshitz)


84. On the Quantum Theory of Fields (Bohr Volume, Pergamon Press, Oxford 1955, p. 52)


85. On the Rotation of Liquid Helium (Dokl. Akad. Nauk SSSR, 100, 669, 1955)


86. On Point Interactions in Quantum Electrodynamics (Dokl. Akad. Nauk SSSR, 102, 489, 1955; with I. Pomeranchuk)


87. The Gauge Transformation of the Green Function for Charged Particles (JETP, 29, 89, 1955; Soviet Phys.-JETP, 2, 69, 1956; with I. M. Khalatnikov)


88. A Hydrodynamic Theory of Multiple Formation of Particles (Uspekhi Fiz. Nauk, 56, 309, 1955; Nuovo Cim. Suppl., 3, 15, 1956; with S. Z. Belen'kii)


89. On the Quantum Theory of Fields (Nuovo Cim. Suppl., 3, 80, 1956; with A. A. Abrikosov and I. Halatnikov [= Khalatnikov])


90. The Theory of a Fermi Liquid (JETP, 30, 1058, 1956; Soviet Phys.-JETP, 3, 920, 1957)


91. Osculations in a Fermi Liquid (JETP, 32, 59, 1957; Soviet Phys.-JETP, 5, 101, 1957)


92. On the Conservation Laws for Weak Interactions (Nucl. Phys., 3, 127, 1957; JETP, 32, 405, 407, 1957; Soviet, Phys.-JETP, 5, 336, 337, 1957)


93. Hydrodynamic Fluctuations (JETP, 32, 618, 1957; Soviet Phys.-JETP, 5, 512, 1957; with E. M. Lifshitz)


94. The Properties of the Green Function for Particles in Statistics (JETP, 34, 262, 1958; Soviet Phys.-JETP, 7, 182, 1958)


95. On the Theory of the Fermi Liquid (JETP, 35, 97, 1958; Soviet Phys.-JETP, 8, 70, 1959)


96. Possibility of Formulation of a Theory of Strongly Interacting Fermions (Phys. Rev., 111, 321, 1958; with A. A. Abrikosov, A. D. Galanin, L. P. Gorkov, I. Ya. Pomeranchuk, and K. A. Ter Martirosyan)


97. Numerical Methods of Integrating Differential Equations by the Mesh mmethod (Proc. All Soviet Math. Conf. (Moscow 1956) Moscow 1958, p. 92; with N. N. Meiman and I. M. Khalatnikov)


98. On Analytical Properties of Vertex Parts in Quantum Field Theory (Nucl. Phys., 13, 181, 1959; JETP, 37, 62, 1959; Soviet Phys.-JETP, 10, 45, 1960)


99. Small Binding Energies in Quantum Field Theory (JETP, 39, 1856, 1960; Soviet Phys.-JETP, 12, 1294, 1961)


100. Fundamental Problems (Pauli Memorial Volume, Interscience, p. 245, 1960; Proc. Ninth Annual Conf. High Energy Phys. (Kiev 1959), Moscow 1962, p. 95)

Appendix A

Appendix B