Talked to TW today at RZ's defense reception and got a bit inspired. I had this idea but it was rather vague, TW liked it a lot and helped me walk through some details. Our caged particle has a reasonable high zero point energy (of course check if it is sufficient to liberate the particle) yet still the ground state gets effectively localized. I want to relate that to the deterministic chaos in the classical limit - inject K.E. and perturb the potential, what would the phase space density look like? BTW I do not think Anderson has anything to do with it despite SKG's obsession with the idea.
Edit: Essentially it is a 3d problem (2d peripheral + 1d radial). Be wary of the limited exchange between them.
Tuesday, October 23, 2007
Monday, October 15, 2007
Benford's Law
Let's say you are given a batch of real-world data. Tell me what the distribution of the first digit is like. Evenly distributed between 1 and 9? Wrong! Benford's Law states that 30% of the cases the leading digit is 1.
Saturday, October 13, 2007
Before Sunrise / Before Sunset
So I was watching the film Before Sunrise on this Friday night and at the same time text messaging with D. I told her I was watching this film. D SMS-ed: "... the two have wonderfully interesting conversation". I replied: "It's funny to watch a movie of just talking. Wouldn't it make more sense to write a novella?" And then I found it strikingly coincident with the plot in the sequel, which I watched right after and particularly didn't like. In fact I felt very bad after watching it, not because I felt sorry for the characters, well actually I thought they deserved it, but because the way that everything was meant. Good story(-ies), but so sad because every detail in it was so real and inevitable.
