It took us a long time to write this book. In 1959, two of us (Lifshits and Kaganov) pub lished a review of the mechanics of electrons with a complex dispersion law. About that time, geometrical terms such as extremal sections, curvatures, diameters, limiting points began to appear in papers on the electron theory of metals. They were followed by terms quite unusual in the scientific literature: monsters, pockets, arms, sheets, and so on. With their excitingly shaped figures, papers on the electron theory of metals began to resemble catalogs of exhibitions of abstract or ultramodern sculpture. The modern theory of metals was passing through its romantic period. Each newly interpreted Fermi surface and each discovery of a new structure sensitive phenomenon was an emotional experience for the authors and readers alike. The atti tude of the theoreticians was epitomized by phrases such as "This method or this phenomenon can be used to reconstruct the Fermi surface . . . ," which were found at the end of almost every paper on the electron theory of metals. The experimentalists selected convenient meth ods, being guided not so much by the elegance of a particular method as by its experimental capabilities. Gradually, the romantic approach gave way to a systematic activity, which re sulted in the interpretation of the energy spectra of the majority of metals. There were some unavoidable disappointments.
Auflage
Softcover reprint of the original 1st ed. 1973
Sprache
Verlagsort
Zielgruppe
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 279 mm
Breite: 210 mm
Dicke: 19 mm
Gewicht
ISBN-13
978-1-4615-8560-2 (9781461585602)
DOI
10.1007/978-1-4615-8558-9
Schweitzer Klassifikation
1. Simple Model.- I Classical and Quantum Mechanics of Conduction Electrons.- 2. Geometry of Constant-Energy Surfaces.- 3. Density of States per Unit Energy Interval.- 4. Classical Mechanics of a Particle with an Arbitrary Dispersion Law.- 5. Motion of Conduction Electrons in Nonuniform Fields.- 6. Collisions of Quasiparticles. Scattering Processes.- 7. Quasiclassical Energy Levels.- 8. Quantum Mechanics of an Electron with an Arbitrary Dispersion Law.- 9. Quantum Theory of the Scattering of Electrons with an Arbitrary Dispersion Law.- 10. Magnetic Breakthrough.- II Statistical Mechanics of Conduction Electrons.- 11. Criterion Separating Metals from Dielectrics. Fermi Energy. Fermi Surface. Number of Electrons.- 12. Thermodynamics of Conduction Electrons.- 13. Anomalous Electron Properties of Metals at High Pressures.- 14. Paramagnetism and Diamagnetism in Weak Magnetic Fields.- 15. de Haas-van Alphen Effect in Strong Magnetic Fields.- 16. de Haas-van Alphen Effect and the Theory of Fermi Liquids.- 17. Determination of the Electron Energy Spectrum from the de Haas-van Alphen Effect.- 18. General Theory of Oscillatory Effects.- 19. Strong Magnetism of Conduction Electrons. Anomalies of Thermodynamic Properties in Strong Magnetic Fields.- 20. Domains and Periodic Structures in Magnetic Fields.- 21. Theory of Diamagnetic Phase Transitions.- 22. Emission Properties of Metals.- III Transport Properties of Electrons in Metals.- 23. Boltzmann's Transport Equation.- 24. Electrical Conductivity. Ohm's Law.- 25. Thermal Conductivity. Wiedemann-Franz Law. Thermoelectric Effects.- 26. Galvanomagnetic Effects (Introduction).- 27. Galvanomagnetic Effects in Strong Fields (Closed Trajectories).- 28. Galvanomagnetic Effects in Strong Fields (Open Trajectories).- 29. Theory of theStatic Skin Effect.- 30. Thermal Conductivity and Thermoelectric Effects in Strong Magnetic Fields.- 31. Quantum Oscillations of the Resistivity of Metals (Shubnikov-de Haas Effect).- IV High-Frequency Properties of Metals.- 32. General Relationships Governing the Behavior of Metals in High-Frequency Fields.- 33. Anomalous Skin Effect in the Absence of a Static Magnetic Field.- 34. Anomalous Skin Effect in a Static Magnetic Field.- 35. Physical Aspects of Cyclotron Resonance.- 36. Theory of Cyclotron Resonance.- 37. Investigation of Surface Impedance under Cyclotron Resonance Conditions.- 38. Damping of a High-Frequency Field in a Metal.- 39. Free Oscillations and Weakly Damped Waves in Metals.- 40. High-Frequency Fermi-Liquid Effects in Metals.- 41. Surface Skin Effect and Resonance at Very Low Frequencies.- 42. Quantum Theory of High-Frequency Phenomena.- 43. Quantum Cyclotron Resonance.- 44. Paramagnetic Resonance in Metals.- 45. Combined Resonance.- 46. Impedance Oscillations in Weak Magnetic Fields.- 47. Infrared Optics.- 48. Determination of Electron Energy Spectra of Metals.- Appendix I Quantum Oscillations of the Resistance of Metals at Low Frequencies.- Appendix II Role of Electrons in the Propagation and the Absorption of Sound in Metals.- Appendix III Topology of Fermi Surfaces of Metals (Summary Table).- Literature Cited.
