Preface
Acknowledgments
Symbols
PART I Theoretical Frame
Chapter I.- Introduction
Chapter II. - Classical Theory of Light
II. 1. Introduction: The different representations of light
II.2. Classical theory of light
II.2.1. Electromagnetism and Maxwell's equations
II.2.1.1. Maxwell's equations
II.2.1.2. The wave equation
II.2.2. Three solutions for Maxwell's equations
II.2.2.1. The spherical wave
II.2.2.2. The plane wave
II.2.2.3. Gaussian wave
II.3. Exercises and problems
II. 3.1. Electromagnetic wave propagation in vacuum
II.3.2. Search for a particular Gaussian solution of the wave equation
II.3.3. Treatment of Gaussian wm,es with lenses
II.4. Appendices
II.4.1. Table of electromagnetic waves
II. 4.2. Various forms of the Maxwell's equations
]1.4.3. Three particular solutions to the wave equation
II.5. Bibliography
Chapter HI- Matter and its properties
III. 1. Non relativistic quantum mechanics
III.1.1. Fundamental principles and brief history
III. 1.1.1. Probabilistic description
III. 1.1.2. The problem of measurement and operators
III.1.2. Principles of the non relativistic quantum theory
III.l.2.1. Postulates concerning the description of the system
III. 1.2.2. Principles for the measurement of physical quantities
III. 1.2.3. Evolution principle
III.1.2.4. Correspondence principle
III.1.2.5. Spin creation principle
III. 1.2.6. Antisymmetrization principle
III.2. Symmetry and group theory
III. 2.1. Symmetry elements and svmmsetry operations
III.2.2. Representation of an operation by an operator
III.2.3. Group structure and classification
III.2.4. Group representation
III.2.4.1. Introduction to the notion of representation
III.2.4.2. Representation properties
III.2.4.3. Direct product of two representations
III.3. Application of quantum mechanics and group theory to the description of stationary electronic states in atoms and molecules
III.3.1. Description of the electronic structure of the hydrogen atom and of the hydrogenic atoms
III. 3.1.1. Solution of tile eigenvalue equation for tile Hamiltonian operator
IlI.3.1.2, Energy and shell model
III.3.1.3. State vector and atomic orbital multiplicity
III.3.1.4. Various representations of probability densities in real space
III.3.1.5. Spin orbit coupling
III.3.2. The description of the electronic structure of many-electron atoms
III.3.2.1. Central field approximation
III.3.2.2. Electrostatic and magnetic interactions: Russel-Saunders and spin-orbit couplings
III.3.2.3. Description of configurations
III.3.3.Description of electronic structure of molecules
III.3.3.1. General presentation
Ill.3.3.2. Methods for solving the electronic eigenvalue equation
III.3.4. Vibrational and rotational structure of electronic levels in atoms and molecules
IlI.3.4.1. Vibrational structure
III.3.4.2. Rotational structure
III.3.4.3. Vibration-rotation interaction
III.3.5. Conclusions and consequences about electronic levels
IlI.4. Exercises et problems
III.4.1. Questions about symmetry: true or false?
III.4.2. General aspects of LCAO theory
III.4.3. Study of the orbitals of 1, 3 butadiene
III.4.4. Energy ofsinglet and triplet states of a two-electron system
III.5. Appendices
III.5.1. Main properties of linear transformations and matrices
III.5.2. Representation of an operator by a matrix
III.5.3. Tables of the postulates of quantum theory
III.5. 4. Tables of characters of the symmetry groups used in this book
III.6. Bibliography
……
PART II Optical Spectroscopies of Electronec Absorption
INDEX