A. S. Kompaneyets – A Course Of Theoretical Physics (Vols. 1 and 2)
Volume 1 of this course of theoretical physics deals with the fundamental laws of physics. The text lucidly presents for students and workers in theoretical physics the fundamental principles underlying the findings of experimental physics. It gives a unified presentation of classical mechanics, electrodynamics, and quantum mechanics and provides an excellent foundation for the study of more advanced topics in atomic, molecular, and solid-state physics. Fundamental laws can be read by students who have had courses in introductory physics, electricity, and magnetism.
Volume 2 of this course of theoretical physics deals with statistical laws, the basic structure remains essentially the same. The author has selected those topics he felt to be of general interest. The book includes, for instance, sections on fluctuations, Gibbs statistics, detonation waves, ferromagnetism, and the theory of semiconductors. Statistical laws can be read by a student who has had courses in classical mechanics, electrodynamics, and quantum mechanics. Numerous exercises combine with the masterly coverage of the subject to make statistical laws an essential text for university and college students.
Alexander S. Kompaneyets (1914-1974)
Professor Alexander Solomonovich Kompaneyets was a leading Soviet theoretical physicist from 1946 Until his untimely death he worked at the Institute of Chemical Physics of the USSR Academy of Sciences, contributing, among other things, to the development of nuclear energy in the Soviet Union in all its aspects.
The book was translated from the Russian by V. Talmy and was published by Mir in 1978.
You can get the Volume 1 here and here
You can get the Volume 2 here and here
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CONTENTS
Volume 1
Preface — 5
PART I. MECHANICS
General Remarks — 9Lagrange Equations — 13Examples of Constructing the Lagrange Equations — 27Conservation Laws — 36Motion in a Central Field — 49Collision of Particles — 58Small Oscillations — 70Noninertial Frames of Reference — 81Dynamics of Rigid Bodies — 89Hamilton’s Equations and the Hamilton–Jacobi Equation — 108PART II. ELECTRODYNAMICS
Vector Analysis — 125Maxwell’s Equations — 142Einstein’s Relativity Principle — 157Relativistic Mechanics — 177Action of an Electromagnetic Field — 194Electrostatics of Point Charges — 208Magnetostatics of Point Charges — 219Plane Electromagnetic Waves — 229Transmission of Signals. Almost Plane Waves — 239The Emission of Electromagnetic Waves — 248PART III. QUANTUM MECHANICS
The Inadequacy of Classical Mechanics. The Analogy Between Classical Mechanics and Geometrical Optics — 269Electron Diffraction — 278The Wave Equation — 285Operators in Quantum Mechanics — 293Expansions in Wave Functions — 306Transformation of Independent Variables — 318Operators in Matrix Representation — 331Some Problems in Coordinate Representation — 342Motion in a Central Potential — 365Electron Spin — 383The Quasi-Classical Approximation — 401Perturbation Theory — 424Many-Electron Systems. The Atom — 436Diatomic Molecules — 480The Quantum Theory of Scattering — 491The Quantum Theory of Radiation — 508The Dirac Equation — 528Supplementary Exercises — 547
Index — 557
Volume 2
Preface — 5
PART I. STATISTICAL PHYSICS
Equilibrium Distribution of Molecules in Ideal Gas — 9Boltzmann Statistics: Translational Motion of Molecules; Gas in an External Field — 27Boltzmann Statistics: Vibrational and Rotational Molecular Motion — 41Applications of Statistics to Electromagnetic Fields in Vacuum and to Crystalline Bodies — 51The Bose Distribution — 69The Fermi Distribution — 73Gibbs Statistics — 82Thermodynamic Quantities — 95The Thermodynamic Properties of Ideal Gas in Boltzmann Statistics — 120Fluctuations — 132Phase Equilibria — 143Dilute Solutions — 158Chemical Equilibria — 164Surface Phenomena — 170PART II. HYDRODYNAMICS AND GAS DYNAMICS
The General Equations of Hydrodynamics — 176Some Problems on the Motion of an Ideal Fluid — 192Mechanics of a Viscous Incompressible Fluid — 201Motion of Bodies in an Incompressible Fluid — 213Superfluidity — 226One-Dimensional Steady Flow of a Compressible Gas — 236Quasi-One-Dimensional Flow of a Gas — 241Characteristics of One-Dimensional Nonsteady Isentropic Flow — 246Simple Waves — 251One-Dimensional Nonsteady Isentropic Flow: Interaction of Simple Waves — 258Shock Waves — 267Applications of the Theory of Shock Waves — 277Detonation Waves — 284PART III. ELECTRODYNAMICS OF CONTINUOUS MEDIA
General Equations — 290Electrostatics of Conductors — 299Electrostatics of Dielectrics — 312Direct Current — 321Magnetic Properties of Nonferromagnetic Media — 332Ferromagnetism — 342The Magnetic Field of Direct Current — 352Quasi-Stationary Currents — 363Rapidly Variable Fields — 376Theory of Dispersion — 386Electromagnetic Waves — 397Some Applications of the Electrodynamics of Rapidly Variable Fields — 411PART IV. PHYSICAL KINETICS
General Relationships — 423The Transport Equation — 440Electrons in Crystals — 465Semiconductors and Metals — 480Index — 502
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