Doing Special Relativity with Quaternions
Doing Special Relativity with Quaternions
About the Book
About the Author
Table of Contents
- Problem set answers for MITs 8.033 using real valued quaternions
-
8.033 Problem Set 1, Kinematic Effects of Relativity
- Preamble: Initiation functions
- R&H 2-9: A moving clock
- R&H 2-10: A moving rocket
- R&H 2-13: A fast spaceship
-
8.033 Problem Set 2, More Kinematic Effects of Relativity
- French: 4-5
- French: 4-12
- R & H: 2-14 A slow airplane
- R & H: 2-21 Travel to the galactic center!
- R & H: 2-24 Decay in flight (II)
- R & H: 2-25 Decay in flight (III)
- R & H: 2-28 Simultaneous - but to whom?
- R & H: 2-36 What time is it anyway?
- Baranger: The cat’s life
- Baranger: A particle’s life
- Baranger: Trains & clocks
- Baranger: Blow up the Earth
- Initialization functions
-
8.033 Problem Set 3: The Lorentz transformation and addition of velocities
- Lorentz transformations
- Baranger: Inverse of a boost
- Baranger: Boosting photons
- Baranger: The ladder in the barn
- R&H: 2-34 2 flashes at different places - or are they?
- R&H: 2-59 Watching the decay of a moving nucleus
- Baranger: Boosting boosted frames
- French: 5-7 2 ways to double a boost
- Initialization functions
-
8.033 Problem Set 4: The Doppler Effect, 4-Vector Invariants & the Twin
- The Doppler Effect
- French: 5-9
- French: 5-10
- French: 5-12
- R & H: 2-68 A Doppler shift revealed as a color change
- R & H: 2-71 The Ives-Stillwell experiment
- R&H: 2-83 The headlight effect
- Four-Vector Invariants
- Baranger: Decay of a particle - timelike or spacelike?
- R&H: 2-42 The interval is invariant - check it out
- R&H: 2-43 An event pair - timelike or spacelike?
- R&H: 2-44 An event pair - spacelike or timelike?
- The Twin Paradox
- The tortoise & the hare
- R&H: B2-2 Einstein and the clock “paradox”
- R&H B2-12: Getting Younger
- French: 5-20 Signals from twins
- Initialization functions
-
8.033 Problem Set 5: Energy, Momentum and Mass
- French: 6-3
- French: 6-14
- French: 7-1
- Baranger: Protons to K’s
- Baranger: A photon collision
- Baranger: Multiplying 4 vectors
- Baranger: An inelastic collision
- Initialization functions
-
8.033 Problem Set 6: The Compton Effect and Threshold Collision Problems
- French: 6-16 The Compton effect
- French: 6-17
- French: 6-18
- French: 6-19
- French: 7-2
- Baranger: Threshold KE
- French: 7-3
- Baranger: Another threshold
- French: 7-6
- Post ramble: Initialization functions
- Personal Sketch of Doug Sweetser
-
Professional sketch of Doug Sweetser
- Education
- Work Experience
- Physics
-
Contact and tip info
- Tip Jar
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