Lecture 1

Useful math for spectroscopy

Lecture 2

Review of quantum mechanics

Particle in a box

Approximate solutions to the Schroedinger equation

Braket notation

Orthogonality of wave functions

Lecture 3

Review of quantum mechanics

Review of rotational kinematics

Angular momentum commutation relations

Spherical harmonics workshop using MAPLE: Visualize Y22, Y21, and Y20!

Lecture 4

Review of quantum mechanics

Review of the harmonic oscillator

Raising and lowering operators

Lecture 5

Review of statistical mechanics

Ensembles

Molecular energy levels

Partition functions

Calculation of average energy

Lecture 6

Length scales of electromagnetic radiation

Wave-like properties of electromagnetic radiation

Lecture 7

Particle-like properties of electromagnetic radiation

Reflection and refraction

Lecture 8

The Fresnel equations

Brewster's angle and total reflection

Lecture 9

Electrical properties of molecules

The dielectric constant

Frequency dependence of the dielectric constant

Lecture 10

The theory of dielectric polarization

Lecture 11

Time dependence in quantum mechanics

Time dependent perturbation theory

Lecture 12

The Fermi Golden Rule

Lecture 13

Polarizability

Example: Polarizability of Diatomic Hydrogen

Lecture 14

A two state model for transitions

The optical Bloch equations

Lectures 15 and 16

The connection with experiment

Photon density of states

Lecture 17

The hydrogen atom

Lecture 18

Atomic spectroscopy

Lecture 19

Rotational spectra

Lecture 20

Lasers

Population Inversion

Lecture 21

The hydrogen molecule ion

Diatomic molecules

Separation of variables

Lecture 22

The vibrational transition moment

Normal modes of vibration

Example: diagonalization of a matrix

Example: a triatomic molecule

Normal Coordinate Analysis: A Suite of Computer Programs and Applications

Lecture 23

The Born-Oppenheimer Approximation

Lecture 24

The Franck-Condon Factor

Lecture 25

Electronic Absorption and Emission Spectra

Adiabatic Potential Energy Surfaces

Lecture 26

Lineshape functions

The analogy between optical and NMR spectroscopy

Lecture 27

Rotational Raman

Vibrational Raman

Lecture 28

Time-correlation function approach

Derivation of the expression for intensity

Lecture 29

Electronic Spectroscopy

Lecture 30

Spectroscopy of polyenes

The free electron model

Orbitals and transitions of ethylene

Orbitals and transitions of butadiene

Spectroscopy Polycyclic Aromatic Hydrocarbons

Orbitals of benzene

Orbitals of Zn porphine

Lecture 31

The Wavepacket Picture