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Top 100 Papers in Physics Ranked
Rob Carr writes "What do physicists care about most? Who are the greatest minds of our time? What physics papers have had the greatest impact? Sidney Redner attempts to answer that question by looking at the citations of all journals in the Physical Review Journals since 1893. He ranked the top 100 papers based on their 'impact': the number of citations times the average age of the citations. Einstein's Relativity papers, which were not in Physical Review journals, are the most stunning absence. 'Fan Favorites' are there - Einstein does make the list for the Einstein Podolsky Rosen paper. Feynman, Dirac, Bethe, Wheeler are on the list. Stephen Hawking does not make the list. Yet Nobel Prize winner Walter Kohn, who is virtually unknown to the general public, is an author on five of the 100 papers, including the top two and one of the top 15 'hot' papers. The paper goes into the statistics of the citations, a fascinating area in it's own right. Some papers make an immediate splash, while others might wait 50 years before their importance becomes apparent. The vast majority die a quick and quiet death. It's tempting to wonder if Redner's paper conclusively proves Sturgeon's Law."
Yeah, but it's just Phys Rev. A lot of cool stuff happens that never gets published in Phys Rev. Sometimes, it's a talk at a symposium that is published and makes a big splash.
Neither. Lot's of people have been using Walter Kohn's theory. The reason why he is at the top of the list is because of the sucess of density functional theory (DFT) first in condensed matter physics and then in chemistry. A goodly portion of the unclassified CPU power used my scientists around the world is probably dedicated to examining systems with DFT.
Essentially, there are two neat things about DFT. The first is that it proves that it is possible to fully describe the state of a bunch of electrons with the 4 dimensional spin density, rather than the normal 4N coordinates (where N is the number of electrons, 3 cartestians an a spin per electron). This, combined with Kohn-Sham theory results in a method of calculating electronic structure that formally scales and N^4, but gives answers often as accurate as N^5 and higher methods. Hence, Nobel Prize :)
for example, feynman no doubt did some great physics, but he gets much, MUCH greater recognition over two other guys who did the same work (tomonaga and schwinger, they shared the nobel prize)
You're correct that Feynman was a more dynamic speaker/teacher, etc. But I think it's a bit of a jump to say that that's the only reason why he gets more attention than Schwinger and Tomonaga. For starters, they didn't all do the same work, even on QED. It's true that all three arrived at equivalent formalisms for calculating amplitudes, but that's not the same as saying they did the same work. Have you thrown away Feynman diagrams and straightforward perturbation expansions and instead tried to do things the way Schwinger did? It's a bitch! As a famous quote of the time went, "Feynman shows you how to do it; Schwinger shows you that only he can do it." And that had a lot to do with the eventual predominance of Feynman's perspective, and thus his getting more recognition than Schwinger or Tomonaga.
Furthermore, while I can't speak to Tomonaga in this regard, Feynman made a major splash in a much broader spectrum of physical investigations than Schwinger did. The work on QED was simply one of many arguably Nobel-worthy accomplishments of his. That, too, contributes to his being paid more attention to than Schwinger and Tomonaga.
Of course, you could argue that these are only things that matter to the cognoscenti; they don't explain why Feynman is more recognized by the general public. But I would claim that contrary to what physicists, and geeks who like physics, think, the general public is pretty oblivious to physicists entirely. They've heard of Einstein; they might have heard of Hawking. That's pretty much it, though. We think of Feynman as famous; the average person on the street has never heard of him.
So while I would agree that Feynman's dynamic personality, excellence in presentation, etc., is important in the way he is remembered by those who are aware of him at all, at least equally important is the fact that he did a ton of amazing new physics.
"...the number of citations times the [average citation age]..."
It seems to me that this nullifies the comparison in some regards. If you rank by this number DEscending, you get a few old papers with a lot of citations... possibly just because they're old. If you rank by this number Ascending, you get just the newest papers without significant numbers of citations. It might be better to rank by either total numbers of citations or "the number of citations *divided* by the average citation age", and use a DEscending rank. This way, recent works get a 'fair' (or 'fairer') comparison against older works.
Let S_n = {nst+us+vt : s,t in Z \ {0}, u,v in {-1,1}}. For all n in Z where |n| > 2, Z \ S_n is infinite... right?
Well, sure, it is not going to win this guy a Nobel prize, but it is interesting. Maybe not "research" by many definitions of the word, but definitely interesting.
For example, while I am quite familiar with DFT and have read most (if not all) of the Kohn papers mentioned in the article, I would not have guessed he would have placed so high. But that is the neat thing. This paper shows how much physics and chemistry interact. Many of the other paper in this top 100 list are probably more cited in the chemistry literature than in physics (e.g. Carr-Parinello)
sPh
From a theory of Hohenberg and Kohn, approximation methods for treating an inhomogeneous system of interacting electrons are developed. These methods are exact for systems of slowly varying or high density. For the ground state, they lead to self-consistent equations analogous to the Hartree and Hartree-Fock equations, respectively. In these equations the exchange and correlation portions of the chemical potential of a uniform electron gas appear as additional effective potentials. (The exchange portion of our effective potential differs from that due to Slater by a factor of 23.) Electronic systems at finite temperatures and in magnetic fields are also treated by similar methods. An appendix deals with a further correction for systems with short-wavelength density oscillations.
I kinda sorta knew what they were talking about up until Hartree and Hartree-Fock. After that I have no idea. For most of these papers, you really do need some graduate level education to know what's going on..