Modern Physics: Solutions to Selected Active Reading Exercises

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1. Relativity I: Time, Space, and Motion

• Coordinate Time, Proper Time

• The Other Clock

• The Position

2. Relativity II: Dynamics

• Spacetime Diagrams

• The High Energy Limit

• Four-Displacement

3. The Quantum Revolution I: From Light Waves to Photons

• Double-Slit Variations

4. The Quantum Revolution II: Matter and Wavefunctions

• The Standing Wave Equation

5. The Schrödinger Equation

• Motion in a Potential Well

• A 1D Particle in a Box

• The Finite Square Well

• Evolution of an Energy Eigenstate

• Evolution of a Sum of Eigenstates

7. The Hydrogen Atom

• The φ Probability Distribution

10. Statistical Mechanics

• Normalizing the Boltzmann Distribution

• Small System, Big Reservoir

• Condensation in a Two-State System Part 2

11. Solids

• A Logic Gate

13. Particle Physics

• Relativity and Bubble Chambers

• Building Hadrons

• The Higgs/Water Analogy

• Creating More Paths

Online Chapter: General Relativity

• Light Beams in an Expanding Universe