Quantum Mechanics Syllabus
Fall 2009 Quarter
Chapter |
Concepts |
|
| 10 | 13 & 14 | Raman Spectroscopy (pure rotational and vibration-rotation), Electronic Spectra, Franck-Condon principle, selection rules, fluorescence, phosphorescence, lasers |
| 9 | 13 | rotational spectra of symmetric tops, vibrational spectra of diatomic molecules, vibration-rotation spectra of diatomic molecules |
| 8 | 11 & 13 | Huckel MO theory, Rotational Spectra of diatomic and polyatomic molecules |
| 7 | 11 | wavefunction for the hydrogen molecular ion, Schrodinger equation and wavefunctions for the hydrogen molecule, potential energy diagram for H2, confocal elliptic coordinates, molecular angular momenta and quantum numbers, term symbols for diatomic molecules, hybridization model |
| 6 | 10 & 11 | Hartree-Fock self consistent field method, periodic trends, aufbau principle, ionization energy, electron affinity, angular momenta and quantum numbers for many electron atoms,atomic term symbols, spin-orbit coupling, atomic spectra and selection rules, Born-Oppenheimer approximation, Schrodinger equation for the hydrogen molecular ion, potential energy diagram |
| 5 | 10 | Schrodinger equation for H-like atoms, wavefunction for H-like atoms, energy and quantum numbers for H-like atoms, orbital angular momentum, influence of a magnetic field on the Hamiltonian, ladder type energy diagrams, He atom Schrodinger equation and wavefunction, variation theorem, Pauli exclusion principle and its applications, Slater determinants for multi-electron atoms |
| 4 | 9 & 10 | rigid rotor, angular momentum, spherical polar coordinates, energies and wavefunctions of hydrogen like atoms, spectra of H-like atoms, orbital degeneracy, probability density diagrams |
| 3 | 9 | properties of a particle in a 3 dimensional box, properties of the harmonic oscillator (classical and quantum mechanical), wavefunction and energy of a quantum mechanical harmonic oscillator, applications to IR spectroscopy |
| 2 | 9 | QM operators and their properties, properties of well behaved wavefunctions, postulates of quantum mechanics, expectation value, normalizing a wavefunction, properties of a particle in a one dimensional box |
| 1 | 9 | historical development of quantum mechanics, Black body radiation, Planck's equation, Bohr model, Heisenberg uncertainty principle, Schrodinger equation, Hamiltonian, wavefunction |
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