Introduction

Overview

A brief history of quaternions

Multiplying quaternions the easy
way

Inner and outer products

Algebraic tools
is an HTML document

Understanding a *Mathematica*
notebook

Classical Mechanics

F = ma

4 tests of a conservative force

The simple harmonic oscillator
and wave equation

Special Relativity

An alternative algebra for
boosts

PS1: Kinematic effects of relativity

PS2: More kinematic effects

PS3: The Lorentz transformation
and the addition of velocities

PS4: The Doppler effect, 4-vector
invariants, and the twin paradox

PS5: Energy, Mass and Momentum

PS6: The Compton effect and
the threshold collision problems

Electricity and Magnetism

Classical electrodynamics

Quantum electrodynamics

The Maxwell equations in the
Lorenz gauge

The Lorentz Force

Gauge transformations

Quantum Mechanics

Bracket notation & quaternions:
quaternions as a complete inner product space

Polar representations

Multiplying quaternion exponentials
(without Campbell-Hausdorff)

Commutators and the uncertainty
principle

The
Schrödinger equation

The Klein-Gordon equation

Time reversal

Gravity

Please see my current work to unify gravity and EM at the top of the quaternions.com page.

Answering question in quantum gravity

Gravitational redshift experiments

The length of a quaternion
in curved spacetime

Conclusions

A (very brief) summary of
physics equations written as quaternions

Conclusions

Java | The Bike | Lindy Hop | Contact Doug

Copyright © 1997, Doug Sweetser, All rights reserved worldwide.