LEJ4Learning

Reading Materials:

Matrix solution of harmonic oscillator problem, derivation of heisenberg equation of motion, matrix elements of any function of X and P

Building an effective hamiltonian

Anharmonic oscillator, vibration-rotation interaction, energy levels of a vibrating rotor

Atoms: 1e- and alkali

Alkali and many e- atomic spectra

Many e- atoms

How to assign an atomic spectrum

The Born-Oppenheimer approximation

Excerpts from the spectra and dynamics of diatomic molecules

The Born-Oppenheimer approach to transitions

The Born-Oppenheimer approach to transitions II

Pictures of spectra and notation

Rotational assignment of diatomic electronic spectra I

Laser schemes for rotational assignment first lines for Ω’, Ω” assignments

Definition of angular momenta and | A α MA >

Rotation and angular momenta

2∏ and 2∑ matrices

Parity and e/f basis for 2∏, 2±

Hund’s cases: 2∏, 2± examples

Energy level structure of 2∏ and 2∑ states, matrix elements for 2∏ and 2∑ including ∏ ~ ∑ perturbation, parity

Perturbations

A model for the perturbations and fine structure of the ∏ states of CO, factorization of perturbation parameters, the electronic perturbation parameters

Second-order effects

Second-order effects: centrifugal distortion and Λ-doubling

Transformations between basis sets: 3-j, 6-j, and Wigner-Eckart theorem

Construction of potential curves by the Rydberg-Klein-Rees method (RKR)

Rotation of polyatomic molecules I

Energy levels of a rigid rotor, energy levels of an asymmetric rotor

Asymmetric top

Energy levels of a rigid rotor, energy levels of an asymmetric rotor

Pure rotation spectra of polyatomic molecules

Energy levels of a rigid rotor

Polyatomic vibrations: normal mode calculations

Polyatomic vibrations II: s-vectors, G-matrix, and Eckart condition

Polyatomic vibrations III: s-vectors and H2O

Polyatomic vibrations IV: symmetry

A sprint through group theory

What is in a character table and how do we use it?

Electronic spectra of polyatomic molecules

The  transition

Vibronic coupling

Time-independent Schrodinger equation for a molecular system

Wavepacket dynamics

Wavepacket dynamics III

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