Jason (jcreed) wrote,
Jason
jcreed
Over lunch I thought up an (n+1)-dimensional (that is, n spatial dimensions, one time) analogue of my little (1+1)-dimensional toy system from before. In it there are (n+1) particle states per spatial position, each one of which takes a step towards a vertex of the n-simplex, and turns into a superposition of the (n+1) states that looks like a row from the DFT matrix of the appropriate dimension. The unitarity of the DFT means unitarity of the overall transform (with motion in space) comes pretty much for free.

I threw together a javascript+canvas animation of the (2+1)-dimensional system. Sadly, it is not isotropic, but it still looks pretty. Click anywhere on the canvas to stop or start computation.
Tags: javascript, physics
Subscribe

  • (no subject)

    Remember tiddlywiki? From the halcyon days of the mid-2000s when wikis were still kinda weird? Well, they're still developing it. It is uncannily…

  • (no subject)

    Best facial expression on a dinosaur. _tove correctly classifies it as HEY YOU GUYS.

  • (no subject)

    From the wikipedia entry on Phosphorus: The discovery of phosphorus is credited to the German alchemist Hennig Brand in 1669, although other…

  • Post a new comment

    Error

    Anonymous comments are disabled in this journal

    switch
    default userpic

    Your reply will be screened

    Your IP address will be recorded 

    Help
  • 1 comment