Miscellaneous

Wikipedia

I have been a frequent author and editor of Wikipedia physics articles since 2006. For example, here are some images and animations I made, two of which are copied below:

A harmonic oscillator in classical mechanics (A-B) and quantum mechanics (C-H). In (A-B), a ball, attached to a spring (gray line), oscillates back and forth. In (C-H), wavefunction solutions to the Time-Dependent Schrödinger Equation are shown for the same potential. The horizontal axis is position, the vertical axis is the real part (blue) or imaginary part (red) of the wavefunction. (C,D,E,F) are stationary states (energy eigenstates), which come from solutions to the Time-Independent Schrödinger Equation. (G-H) are non-stationary states, solutions to the Time-Dependent but not Time-Independent Schrödinger Equation. (G) is a randomly-generated quantum superposition of the four states (C-F). (H) is a “coherent state” (“Glauber state”) which somewhat resembles the classical state B.

Schematic showing how a wave flows down a transmission line. The black dots represent electrons, and the arrows show the electric field.

Other stuff

  • Find me on Twitter – LinkedIn – GitHub – Physics-StackExchange – Quora
  • HERE are some notes I wrote up many years ago about getting over repetitive strain injury.
  • I have a blog about cold fusion, a fascinating and weird corner of physics that started in 1990 with the Fleischmann-Pons experiment, and was widely rejected as baloney shortly afterwards. However, in the last 25 years, the field has stayed active thanks to a small, brave group of true believers, who might or might not be crackpots.

Math papers from high school and college

  • HERE is where you can find information on “Poset Game Periodicity”, a $100,000-prize-winning math paper I wrote in high school.
  • HERE is a term paper I wrote in 2005 on the representation theory of, first, the symmetric groups (aka permutation groups) and second, the family of Lie algebras which physicists call SU(N) and mathematicians call SL(N). This was for a Harvard math course on abstract algebra (“Math 250”). I chose the topic because of its relevance to particle physics.
  • HERE is a paper on the “Number Field Sieve” prime-factoring algorithm, which I wrote for another Harvard math course on abstract algebra (“Math 129”).