Quantum Electron Theory of Amorphous Conductors

Comparison of the One- and Three-Dimensional Models.- 34. Changes in the Band Width and Effective Mass when Semiconductors Melt.- VI Scattering of Electrons in Liquids by Departures from Long-Range Order and by Defects.- 35. Statement of the Problem.- 36. Discussion of the Electron Motion in a Liquid in Terms of Cartesian Coordinates.- 37. Solution of the Transport Equation for Electrons in a Liquid.- 38. Calculation of the Matrix Element and Estimation of the Electron Mean Free Path in Liquids.- 39. Scattering of Electrons on Defects.- 40. Mechanism of Electron Motion in Liquids.- VII Scattering of Electrons on Thermal Vibrations in a Liquid.- 41. Initial Equations.- 42. Change in the Electron Distribution Function Under the Action of the Acoustical-Mode Vibrations.- 43. Blochls Integral Equation.- 44. Mean Free Path of an Electron Associated with Phonon - Liquid Scattering.- 45. Change in the Electron Distribution Function Under the Action of the Optical-Mode Vibrations.- 46. Electron Mean Free Path Associated with the Phonon - Liquid Scattering in the Case of Optical-Mode Vibrations.- VIII Electrical Conductivity, Thermal Conductivity, Thermoelectric Power, Hall Coefficient, and Nernst Coefficient of Amorphous Substances Exhibiting Electronic Conduction.- 47. General Formulas.- 48. Liquid Metals at T » ?.- 49. Amorphous Covalent Semiconductors.- 50. Amorphous Ionic Semiconductors.- IX Local and Impurity Levels in Amorphous Semiconductors.- 51. Local States in the One-Dimensional Model of a Liquid.- 52. Method of Calculating Local Levels in Many-Atom Systems.- 53. Local Fluctuation Levels in Amorphous Semiconductors [6].- 54. Impurity Levels in Amorphous Semiconductors.- 55. Possible Reasons for the Absence of Impurity Conduction in Amorphous Semiconductors.- X Electron Structure of Liquid Metals.- 56. Calculation Method.- 57. Calculation of the Density of States in Limiting Cases.- 58. Electron Spectrum of Real Liquid Metals.- 59. Wave Functions of Electrons in Liquid Metals.- XI Theory of the Electrical Conductivity of Liquid Metals.- 60. Scattering of Electrons by Metal Atoms.- 61. Plasma Scattering and the Displacement Potential.- 62. Change in the Electrical Conductivity on Melting..- 63. Dependence of the Electrical Conductivity on Temperature and Pressure.- 64. Applicability of the Theory to Multivalent Metals [2].- XII Quasi-Classical Theory of Amorphous Ferromagnets.- 65. Fraction of Antiparallel Spin Pairs.- 66. Average Magnetization and the Curie Point.- Appendix. The Electron State Density in the Band "Tail" of Amorphous Semiconductors.- Literature Cited.