## Perspectives in Theoretical Physics: The Collected Papers of E\M\LifshitzEvgenii Mikhailovich Lifshitz is perhaps best known for his long association with his mentor Lev D Landau, with whom he co-wrote the classic Course of Theoretical Physics, but he was a noted and respected Soviet physicist in his own right. Born in the Ukraine to a scientific family, his long and distinguished career will be remembered for three things - his collaboration with Landau on the internationally acclaimed Course of Theoretical Physics, his work as editor of the Journal of Experimental and Theoretical Physics, and his scientific papers. As well as his work with Landau, E\M\Lifshitz collaborated with many noted Soviet scientists such as I\M\Khalatnikov, I\E\Dyzaloshinskii, V\V\Sudakov, V\A\Belinskii and the editor of this book, L\P\Pitaevskii. Many of the papers presented in this book include their contribution. Collected together they give a comprehensive and penetrating insight into the man and his work, clearly showing Lifshitz's contribution to physics and the influences on his work. |

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### Contents

1 | |

9 | |

27 | |

39 | |

51 | |

67 | |

Chapter 5 On the theory of the photoelectromagnetic effects in semiconductors | 89 |

Chapter 6 An electron gas in a magnetic field | 101 |

Chapter 24 On the rotation of liquid helium | 319 |

Chapter 25 Influence of temperature on molecular attraction forces between condensed bodies | 325 |

Chapter 26 The theory of molecular attractive forces between solids | 329 |

Chapter 27 Hydrodynamics of liquid helium | 351 |

Chapter 31 Molecular attraction of condensed bodies | 371 |

Chapter 32 Superfluidity | 413 |

Chapter 33 Van der Waals forces in liquid films | 425 |

Chapter 34 The general theory of van der Waals forces | 443 |

Chapter 7 The collisions of deuterons with heavy nuclei I | 113 |

Chapter 8 The collisions of deuterons with heavy nuclei II | 129 |

Chapter 9 Neutron transfer in collisions of heavy nuclei | 137 |

Chapter 10 On the theory of phase transitions of the second order | 141 |

Chapter 11 On the theory of phase transitions of the second order | 159 |

Chapter 12 Radiation of sound in helium II | 177 |

Chapter 13 On phase transitions in monomolecular films | 185 |

Chapter 14 On the magnetic structure of iron | 203 |

Chapter 15 On the gravitational stability of the expanding universe | 219 |

Chapter 16 Threephoton annihilation of electrons and positrons | 241 |

Chapter 17 Theory of superfluidity of helium II | 243 |

Chapter 19 On the theory of energy transfer during collisions Ill | 287 |

Chapter 20 The intermediate state of superconductors | 299 |

Chapter 21 The specific heat of liquid helium He3 | 303 |

Chapter 22 A study of flow singularities using the EulerTricomi equation | 307 |

Chapter 23 Theory of molecular attraction forces between condensed bodies | 313 |

Chapter 35 On the singularities of cosmological solutions of the gravitational equations I | 493 |

Chapter 36 On the singularities of cosmological solutions of the gravitational equations II | 505 |

Chapter 37 Singularities of cosmological solutions of gravitational equations Ill | 517 |

Chapter 38 Investigations in relativistic cosmology | 527 |

Chapter 39 General cosmological solution of the gravitational equations with a singularity in time | 599 |

Chapter 40 Oscillatory approach to singular point in the open cosmological model | 605 |

Chapter 41 Oscillatory approach to a singular point in relativistic cosmology | 609 |

Chapter 42 Asymptotic analysis of oscillatory mode of approach to a singularity in homogeneous cosmological models | 659 |

Chapter 43 The oscillatory mode of approach to a singularity in homogeneous cosmological models with rotating axes | 677 |

Chapter 44 On the problem of the singularities in the general cosmological solution of the Einstein equations | 691 |

Chapter 45 Generic singularity studies revisited | 695 |

Chapter 46 A general solution of the Einstein equations with a time singularity | 697 |

Chapter 47 On the stochastic properties of relativistic cosmological models near the singularity | 731 |

Chapter 48 On the stochasticity in relativistic cosmology | 737 |

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### Common terms and phrases

approximation arbitrary functions atoms axis bodies Bravais lattice calculation chemical potential coefﬁcients components condition consider constant contains coordinates corresponding crystal Curie point decrease deﬁned deﬁnite denote density determined deuteron dielectric permeability diﬂerent direction distances distribution E. M. Lifshitz Einstein equations electrons energy entropy equal expansion exponents expression ﬁeld ﬁlm ﬁnal ﬁnd ﬁnite ﬁrst ﬁrst term ﬂow ﬂuctuations ﬂuid force formula given gravitational equations Green function helium helium II homogeneous models I. M. Khalatnikov inﬁnite inﬂuence integral interaction JETP Kasner epochs L. D. Landau lattice layers liquid matter metric tensor molecular momentum motion neutron obtain oscillations particles perturbation phase transitions phonon Phys physical plane possible potential properties quantities quantum reﬂection region result Ricci tensor rotation roton satisﬁed singular point solution space spatial speciﬁc sufﬁciently superﬂuid surface symmetry temperature theory thermodynamic transformation values vector velocity wave zero