Quoting David H Bailey <david@dhbailey.com>:
I personally find the proof of the uncertainty principle quite amusing. Here it is, if any of you are interested. DHB
I am not entirely sure why proving the uncertainty principle should be amusing. There are various identities concerning the moments of operators and their combinations, set out by both mathematicians and physicists; but the social and political situation which led to Heisenberg's promulgation of the principle seems to be much more interesting, albeit still not so very amusing. Posssibly of more interest is the construction of minimal dispersion wave packets, which role the gaussian fulfills for force-free motion in the context of the Schroedinger equation. What does this look like for a classical equation, such as Maxwell's, or the Klein-Gordon equation? Not to mention dealing with the Dirac equation and the origins of zitterbewegung? It seems to me that the problem here lies in understanding why you have such relations, more so than in finding a nice manipulation which confirms them. But then, everyone has their preferences ... - hvm ------------------------------------------------- Obtén tu correo en www.correo.unam.mx UNAMonos Comunicándonos