Abstract
We therefore consider our assembly with a given energy or range of energies, to which there corresponds a large number of possible states, and have next to ask how such an assembly will behave according to the laws of quantum mechanics. If Schrodinger's equation which we have set up to describe the complete assembly were exact, and if it included exactly every interaction between the systems of the assembly and every interaction with walls and outside bodies, then in principle we could suppose it to be exactly solved and every eigen value and eigen function would then belong to a true stationary state in which the assembly (genuinely isolated) could persist for an indefinite time.The properties of the assembly would then be the properties of this single stationary state.Such a state of affairs however is never actually realizable even to the roughest approximation.In the first place we have neglected radiation and radiative processes in the formulation of Schrodinger's equation, and have assumed that all the interactions of the assembly with the external world can be represented by conservative forces.It is in principle impossible to represent the possible interactions with racliation by any time—independent conservative fields of force; nor can the action of the actual walls and external systems be represented by time—independent terms in the potential energy.The result of this is that it is impossible for a strictly conservative Schrodinger's equation to be set up, and the exact solutions, apparently possible in principle, are actually in practise illusory. ……
Table of Contents
Chapter 1 Introduction
1.1 Concepts of Physical Mechanics
1.2 Structure of Matter
1.3 Atomic Radii and Molecular Structure
1.4 Conceptional Applications
Chapter 2 Wave Mechanics
2.1 Schrodinger Wave Equation
2.2 Amplitude Equation
2.3 Physical Interpretation of Wave Functions
2.4 Harmonic Oscillator
2.5 A System of Point Particles
2.6 Hydrogen Atom
2.7 Free Particle
2.8 Internal Dynamics of Hydrogen Atom
2.9 Energy Levels of Hydrogenlike Atom
2.10 Electronic Spin
2.11 Classification of Energy Levels in Molecules
2.12 Wave Equation for Molecules
2.13 Diatomic Molecules
2.14 Nature of U(r)
2.15 Simple Potential Linear Rigid Rotator
2.16 Morse Potential
2.17 Polyatomic Molecules
Appendix to Chapter 2 Summary of Spectroscopic Notation
Chapter 3 Fundamentals of Statistical Mechanics
3.1 Assembly of Systems
3.2 Required Information on Microscopic Properties
3.3 General Nature of the States of an Assembly
3.4 Rule for Averaging
3.5 A Description of a Classical Assembly
3.6 Accessibility, Mainly Classical
3.7 Accessible States for Assemblies of Similar Systems, the Symmetricaland the Antisymmetrical Group
3.8 Symmetry Type of the Eigen Functions for Actual Assemblies
3.9 Short Cuts for Enumerating Accessible States for Ordinary Assemblies
3.10 The Enumeration of Complexions for Localized Systems
Chapter 4 The General Theorems for Assemblies of Permanent Systems
4.1 Assignment of Weights
4.2 Weights of the States of Several Si~nple Systems
4.3 Enumeration of Accessible States (Complexions)
4.4 An Assembly of Two Sets of Localized Linear Oscillators
4.5 Summarized Description of the Method of Steepest Descents
4.6 Average Values and Temperature on the Statistical Scale
4.7 Systems of Several Degrees of Freedom and Degenerate Systems
4.8 Linear Harmonic Oscillators
4.9 Two- and Three-Dimensional Harmonic Oscillators
4.10 Rigid Rotators without Axial Spin
4.11 Rigid Rotators with Axial Spin (Symmetrical Tops)
4.12 An Assembly of Two Sets of Non-localized Systems
4.13 Mathematical Derivation
4.14 Summary of Results
4.15 Degenerate Systems
4.16 Classical Statistical Mechanics
4.17 Structureless Particles Moving in a Box
4.18 External Reactions of the Assembly
4.19 Relationship Between Statistical Mechanics and Thermodynamics
4.20 The Laws of Thermodynamics
4.21 Derivation of Thermodynamics from Statistical Mechanics
4.22 Thermodynamic Transcription
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Chapter 5 Perfect Gases
Chapter 6 Thermal Properties of Solids
Chapter 7 Equation of States for Solids
Chapter 8 Imperfect Gas
Chapter 9 Liquids and Dense Gases
Chapter 10 General Theory of Transport Processes
Chapter 11 Viscosity,Diffusion and Heat Conduction
Chapter 12 Diffusion and Slowing-down of Neutrons
Chapter 13 Thermal Radiation
Index
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