EXPERIMENTAL PHYSICAL CHEMISTRY
CONTENTS PART I QUANTUM MECHANICS SCHRÖDINGER EQUATION AND ITS APPLICATION EARLY-STAGE QUANTUM THEORY SCHRÖDINGER EQUATION SIMPLE APPLICATIONS OF SCHRÖDINGER EQUATION QUANTUM-MECHANICAL OPERATORS AND MATRICES COMMUTATOR AND CANONICAL COMMUTATION RELATION REFERENCE QUANTUM-MECHANICAL HARMONIC OSCILLATOR CLASSICAL HARMONIC OSCILLATOR FORMULATION BASED ON AN OPERATOR METHOD MATRIX REPRESENTATION OF PHYSICAL QUANTITIES COORDINATE REPRESENTATION OF SCHRÖDINGER EQUATION VARIANCE AND UNCERTAINTY PRINCIPLE REFERENCES HYDROGEN-LIKE ATOMS INTRODUCTORY REMARKS CONSTITUTION OF HAMILTONIAN SEPARATION OF VARIABLES GENERALIZED ANGULAR MOMENTUM ORBITAL ANGULAR MOMENTUM: OPERATOR APPROACH ORBITAL ANGULAR MOMENTUM: ANALYTIC APPROACH SPHERICAL SURFACE HARMONICS AND ASSOCIATED LEGENDRE DIFFERENTIAL EQUATION ORTHOGONALITY OF ASSOCIATED LEGENDRE FUNCTIONS RADIAL WAVE FUNCTIONS OF HYDROGEN-LIKE ATOMS OPERATOR APPROACH TO RADIAL WAVE FUNCTIONS NORMALIZATION OF RADIAL WAVE FUNCTIONS ASSOCIATED LAGUERRE POLYNOMIALS TOTAL WAVE FUNCTIONS OPTICAL TRANSITION AND SELECTION RULES ELECTRIC DIPOLE TRANSITION ONE-DIMENSIONAL SYSTEM THREE-DIMENSIONAL SYSTEM SELECTION RULES ANGULAR MOMENTUM OF RADIATION PART II ELECTROMAGNETISM MAXWELL’S EQUATIONS MAXWELL’S EQUATIONS AND THEIR CHARACTERISTICS EQUATION OF WAVE MOTION POLARIZED CHARACTERISTICS OF ELECTROMAGNETIC WAVES SUPERPOSITION OF TWO ELECTROMAGNETIC WAVES RE?ECTION AND TRANSMISSION OF ELECTROMAGNETIC WAVES IN DIELECTRIC MEDIA ELECTROMAGNETIC FIELDS AT AN INTERFACE BASIC CONCEPTS UNDERLYING PHENOMENA TRANSVERSE ELECTRIC (TE) WAVES AND TRANSVERSE MAGNETIC (TM) WAVES ENERGY TRANSPORT BY ELECTROMAGNETIC WAVES BREWSTER ANGLES AND CRITICAL ANGLES TOTAL RE?ECTION SEVERAL REMARKS ON ANALYTIC FUNCTIONS WAVEGUIDE APPLICATIONS TE AND TM WAVES IN A WAVEGUIDE TOTAL INTERNAL RE?ECTION AND EVANESCENT WAVES STATIONARY WAVES LIGHT QUANTA: RADIATION AND ABSORPTION BLACKBODY RADIATION PLANCK’S LAW OF RADIATION AND MODE DENSITY OF ELECTROMAGNETIC WAVES TWO-LEVEL ATOMS DIPOLE RADIATION LASERS MECHANICAL SYSTEM INTRODUCTORY GREEN’S FUNCTIONS SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS (SOLDES) FIRST-ORDER LINEAR DIFFERENTIAL EQUATIONS (FOLDES) SECOND-ORDER DIFFERENTIAL OPERATORS GREEN’S FUNCTIONS CONSTRUCTION OF GREEN’S FUNCTIONS INITIAL VALUE PROBLEMS (IVPS) GENERAL REMARKS GREEN’S FUNCTIONS FOR IVPS ESTIMATION OF SURFACE TERMS EXAMPLES EIGENVALUE PROBLEMS PART III LINEAR VECTOR SPACES VECTORS AND THEIR TRANSFORMATION VECTORS LINEAR TRANSFORMATIONS OF VECTORS INVERSE MATRICES AND DETERMINANTS BASIS VECTORS AND THEIR TRANSFORMATIONS CANONICAL FORMS OF MATRICES EIGENVALUES AND EIGENVECTORS EIGENSPACES AND INVARIANT SUBSPACES GENERALIZED EIGENVECTORS AND NILPOTENT MATRICES IDEMPOTENT MATRICES AND GENERALIZED EIGENSPACES DECOMPOSITION OF MATRIX JORDAN CANONICAL FORM CANONICAL FORM OF NILPOTENT MATRIX JORDAN BLOCKS EXAMPLE OF JORDAN CANONICAL FORM DIAGONALIZABLE MATRICES INNER PRODUCT SPACE INNER PRODUCT AND METRIC GRAM MATRICES ADJOINT OPERATORS ORTHONORMAL BASIS HERMITIAN OPERATORS AND UNITARY OPERATORS PROJECTION OPERATORS NORMAL OPERATORS UNITARY DIAGONALIZATION OF MATRICES HERMITIAN MATRICES AND UNITARY MATRICES HERMITIAN QUADRATIC FORMS SIMULTANEOUS EIGENSTATES AND DIAGONALIZATION PART IV GROUP THEORY AND ITS CHEMICAL APPLICATIONS INTRODUCTORY GROUP THEORY DE?NITION OF GROUPS SUBGROUPS CLASSES ISOMORPHISM AND HOMOMORPHISM DIRECT-PRODUCT GROUPS SYMMETRY GROUPS A VARIETY OF SYMMETRY OPERATIONS SUCCESSIVE SYMMETRY OPERATIONS O AND TD GROUPS SPECIAL ORTHOGONAL GROUP SO(3) ROTATION AXIS AND ROTATION MATRIX EULER ANGLES AND RELATED TOPICS REPRESENTATION THEORY OF GROUPS DE?NITION OF REPRESENTATION BASIS FUNCTIONS OF REPRESENTATION SCHUR’S LEMMAS AND GRAND ORTHOGONALITY THEOREM (GOT) CHARACTERS REGULAR REPRESENTATION AND GROUP ALGEBRA CLASSES AND IRREDUCIBLE REPRESENTATIONS DIRECT-PRODUCT REPRESENTATION SYMMETRIC REPRESENTATION AND ANTISYMMETRIC REPRESENTATION APPLICATIONS OF GROUP THEORY TO PHYSICAL CHEMISTRY TRANSFORMATION OF FUNCTIONS METHOD OF MOLECULAR ORBITALS (MOS) CALCULATION PROCEDURES OF MOLECULAR ORBITALS (MOS) MO CALCULATIONS BASED ON P-ELECTRON APPROXIMATION ETHYLENE CYCLOPROPENYL RADICAL BENZENE ALLYL RADICAL MO CALCULATIONS OF METHANE