Course Level:
Third Year
Academic Year:
2014/2015
Roman Krems, Chemistry D330,
Textbooks:
- Donald A. McQuarrie, Quantum Chemistry (2nd edition), University Science Books, 2007 (recommended text).
Syllabus:
- Historical Perspectives − 1 week (mainly Chapter 1)
- From Classical Mechanics to Quantum Mechanics: §1.1-1.7
- Principles of Quantum Mechanics − 4 weeks (mainly Chapters 1-4)
- The Bohr Atom: §1.8-1.9
- The de Broglie Matter Wave: §1.10-1.13
- The Heisenberg Uncertainty Principle: §1.14, §3.8, §4.4
- Complex Numbers: Math. A
- Differential Equations: Chapter 2
- The Schrödinger Equation: §3.1-3.3
- Particle in a One-Dimensional Box: §3.4-3.8
- Well-behaved functions: §4.1
- Interpretation of Wave Functions: §4.1
- Normalizations: §3.6, §4.1, §5.8, §6.6, §7.1
- Operators: §3.2-3.3, §4.2-4.3
- Eigenfunctions: §3.2-3.3, §4.2-4.3
- Expectation Values: §3.7-3.9, §4.3
- The Stern-Gerlach Experiment: §7.5
- Hermitian Operators: §4.5-4.6
- Eigenfunctions and Commutation Relations: §4.4, §4.7, §6.8-6.app.
- Superposition: §4.8
- The Dirac Bra-Ket Notation: §4.5
- Selected Applications − 5 weeks (mainly Chapters 5-7)
- Particle in a Three-Dimensional Box: §3.9
- Separation of Variables: §3.9
- Rigid Rotator: §6.1-6.2, §6.6
- Harmonic Oscillator: §5.4-5.6, §5.8-5.app.,
- Hydrogen Atom Radial Functions: §7.1
- Hydrogen-like Orbitals: §7.2-7.3
- Term Symbols − 3 weeks (mainly Chapters 6, 7 & 9)
- Angular Momentum: §6.8-6.app., §4.2
- Electron Spin: §7.5
- The Zeeman Effect: §7.4, §7.8
- Spin-Orbit/L-S/Russell-Saunders Coupling: §7.6, §9.13
- Hydrogen-like Atom Term Symbols: §7.7
- Multi-electron Atom Term Symbols: §9.9-9.10
- Hund’s Rules: §9.11
- Term Symbols in Atomic Spectroscopy: §9.12