(February 21, 2014 at 9:21 am)Alex K Wrote: Ah, you introduce the heisenberg relation via the representations on wave functions, that's a good pedagogical way to do it!
If you intend to discuss the actual uncertainty relation \Delta x \Delta p later, it might be nice to just do a heuristic discussion of what fourier transforms of wave packets look like, in keeping with your formalism.
To do justice, that would require another blog, as this forum is not friendly to writing equations. However, my time is tied for the moment as I'm writing my next blog on QFT in curved space-time. But on wave packets, wikipedia has a decent page. Try it at: http://en.wikipedia.org/wiki/Wave_packet .