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Physics
Quantum Physics
Atomic and Molecular Physics
1. Foundations of Quantum Mechanics
2. Simple Quantum Systems
3. The Hydrogen Atom
4. Fine Structure and Relativistic Effects
5. Atoms in External Fields
6. Multi-Electron Atoms
7. Interaction of Atoms with Electromagnetic Radiation
8. Molecular Physics Fundamentals
9. Electronic Structure of Molecules
10. Molecular Rotation and Vibration
11. Molecular Spectroscopy
12. Advanced Topics in Atomic Physics
13. Atomic and Molecular Collisions
14. Experimental Methods and Applications
2.
Simple Quantum Systems
2.1.
Particle in a Box
2.1.1.
One-Dimensional Infinite Square Well
2.1.2.
Boundary Conditions
2.1.3.
Energy Levels and Wavefunctions
2.1.4.
Quantum Numbers and Degeneracy
2.1.5.
Three-Dimensional Box
2.1.6.
Separable Solutions
2.1.7.
Degeneracy in Higher Dimensions
2.2.
Quantum Harmonic Oscillator
2.2.1.
Classical Harmonic Oscillator Review
2.2.2.
Quantum Mechanical Treatment
2.2.3.
Ladder Operator Method
2.2.4.
Creation and Annihilation Operators
2.2.5.
Energy Levels and Wavefunctions
2.2.6.
Zero-Point Energy
2.2.7.
Hermite Polynomials
2.2.8.
Coherent States
2.3.
Tunneling and Barrier Penetration
2.3.1.
Quantum Tunneling Phenomenon
2.3.2.
Rectangular Barrier Problem
2.3.3.
Transmission and Reflection Coefficients
2.3.4.
Tunneling Probability
2.3.5.
Applications of Tunneling
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1. Foundations of Quantum Mechanics
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3. The Hydrogen Atom