Quantum Electron Theory of Amorphous Conductors

'I Review of Experimental Data on Liquid and Amorphous Conductors.-
1. Electrical Conductivity of Liquid Metals.-
2. Changes in the Electrical Conductivity of Semiconductors on Melting.-
3. Correlation Between the Electrical Conductivity and Other Properties.-
4. Characteristics of the Electrical Conductivity of Liquid Solutions of Metals and Semiconductors.-
5. Formation of the Glassy State in Semiconducting Systems.-
6. Electrical Properties of Amorphous Films and Glassy Semiconductors.-
7. Photoelectric and Optical Effects in Glassy Semiconductors.-
8. Metal - Ammonia Solutions.- II Fundamentals of the Electron Theory of Solids.-
9. One-Electron Approximation.-
10. Heitler - London and Hund - Mulliken Methods.-
11. Method of Elementary Excitations.-
12. Justification of the One-Electron Approximation by the Theory of Collective Electron Interaction.-
13. Electron in a Periodic Field.-
14. Principal Methods of Calculating the Energy Spectrum of Electrons in a Crystal.-
15. Calculation of the Mean Free Path of Electrons.-
16. Impurity Levels and Local Electron States.- III Structure of Amorphous Substances.-
17. Phenomenological Similarity of Liquids and Solids.-
18. Molecular Structure of Liquids and Structural Diffusion.-
19. Structure of Liquid Metals.-
20. Structure of Water and of Organic Liquids.-
21. Structure of Glass.-
22. Short-Range and Long-Range Order in Alloys.-
23. Thermal Motion in Liquids.- IV Band Theory for the One-Dimensional Model of a Liquid.-
24. Mechanism of "Melting" in the One-Dimensional Model.-
25. Wave Equation on a Deformed Coordinate Scale.-
26. Calculation of the Perturbation Matrix Elements.-
27. Calculation of the Energy.-
28. Comparison with Numerical Calculations.- V Band Theory for the Three-Dimensional Model of a Liquid [1].-
29. Mechanism of Melting in the Three-Dimensional Model.-
30. Wave Equation in a Deformed System of Coordinates.-
31. Calculation of the Perturbation Matrix Elements.-
32. Calculation of the Energy.-
33. 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 L