Introduction into Atomic, Molecular, and Optical Physics
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1 From Classical Physics to the Quantum World of Atoms
2 Quantum Mechanics
2.1 Wave Mechanics
2.2 States and Operators in Quantum Mechanics
2.3 Quantum Measurement and the Measurement Problem
2.4 Commutators and the Heisenberg Uncertainty Principle
2.5 Angular Momenta and Their Couplings
2.6 The One-Dimensional Quantum Harmonic Oscillator
2.7 Time-Independent Perturbation Theory
2.8 Time-Dependent Perturbation Theory and Fermi’s Golden Rule
2.9 The Variational Method
2.10 Exchange Interaction: Fermions and Bosons
2.11 Relativistic Wave Equations — the Dirac Equation
3 Hydrogen Atom: Wave Functions
3.1 Orbital Angular Momentum in Quantum Mechanics
3.2 Hydrogen atom — Schrödinger equation and radial solutions
3.3 Visualizing Hydrogen Orbitals
4 Hydrogen Atom: Shifts and Interactions
4.1 Electron Spin and Fine Structure
4.2 The Lamb Shift — An Introduction to Quantum Electrodynamics
4.3 The Hyperfine Structure
4.4 Summary — energy-level splitting
4.5 Hydrogen in Static External Fields
5 Absorption and Emission of Radiation
5.1 Transition Processes and Einstein Coefficients
5.2 Spontaneous Decay and Atomic Transition Rates
5.3 Visualizing Atomic Transitions
5.4 Radiation and Selection Rules
5.5 Spectroscopy and Spectral Line Widths
5.6 Doppler-Free Saturation Spectroscopy
6 More than One Electron Atoms
6.1 Helium (Basics)
6.2 Two-Electron States in Helium
6.3 Calculations for Multielectron Atoms
6.4 Shell Model and Periodic Table
6.5 Angular Momentum Coupling in Many-Electron Atoms
6.6 Excitation and Ionization
7 Introduction to Molecular Physics
7.1 Foundations of Molecular Bonding
7.2 The H
\(_2^+\)
Molecular Ion
7.3 Molecular Orbitals and the LCAO Method
7.4 Beyond H
\(_2^+\)
and LCAO
7.5 Rotation and Vibration
7.6 Molecular Transitions and Spectroscopy
8 Laser–Atom Interactions
8.1 Two-Level Systems — The Theoretical Framework
8.2 Rotating Wave Approximation and Rabi Oscillations
8.3 The Density Matrix Formalism
8.4 The Optical Bloch Equations
8.5 Laser Cooling
8.6 The Bloch Sphere Representation
8.7 Ramsey Spectroscopy and Atomic Clocks
Practice Your AMO Knowledge
P1 Quantum Mechanics
P2 Hydrogen Atom: Wave Functions
P3 Hydrogen Atom: Shifts and Interactions
P4 Interaction with Radiation
P5 Multielectron Atoms
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