Quantum Mechanics Syllabus
Spring Quarter  2008
Chapter 
Concepts 

1  10  variation principle and theorem, wavefunctions for multielectron atoms, multielectron atom term symbols 
2  10 & 11  RusselSaunders and jj coupling schemes, spinorbit splitting energy, selection rules for atomic electronic transitions, Hamiltonian for the hydrogen molecular ion, BornOppenheimer approximation, wavefunction for the hydrogen molecular ion 
3  11  energy for the hydrogen molecular ion, LCAOMO method, quantum mechanical treatment of the hydrogen molecule, angular momenta of diatomic molecules 
4  11  term symbols of diatomic molecules, valence bond method and hybridization model as approximate methods of bonding models, introduction to Huckel MO theory 
5  11 & 13  Huckel MO theory, rotational spectroscopy of diatomic molecules (selection rules, energies, population of levels, characteristics of spectra) 
6  13  rotational spectroscopy of polyatomic molecules (selection rules, energies, population of levels, characteristics of spectra) 
7  13  vibrationrotation spectroscopy of diatomic molecules 
8  13 & 14  vibrationrotation spectroscopy of polyatomic molecules, electronic spectra of molecules 
9 
Winter Quarter  2008
Chapter 
Concepts 

1  9  history of the development of quantum mechanics, blackbody radiation, properties of emr, Planck's equation, relationships between energy, frequency, wavelength and wavenumber for light waves, de Broglie equation, Bohr's structure of the atom 
2  9  Heisenberg uncertainty principle, Schrodinger equation, Born's interpretation of the wavefunction, requirements of a wellbehaved wavefunction, eigen values, eigen functions, postulates of quantum mechanics, operators 
3  9  properties of Hermitian operators, operators that commute, particle in a 1dimentional box 
4  9  particle in a 3dimentional box, classical simple harmonic oscillator, its applications to molecules, quantum mechanical harmonic oscillator 
5  Career Week Activities  
6  Midterm exam + presentation by geology candidate  
7  9  odd and even functions, rigid rotor (classical and quantum mechanical), spherical polar coordinate system, vectors 
8  9 and 10  operators for angular momentum and its components, eigen values involving the angular momentum operators, energy and wavefunctions of hydrogen like atoms, atomic units, Rydberg formula, series observed in the emission spectrum of hydrogen, diagrams of radial parts of the H atom wavefunctions 
9  10  Zeeman effect, electron spin, solving the Schrodinger equation for the He atom 
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