(Click this link
for a step-by-step derivation of the "Hamilton-Jacobi Schrödinger" equation) (Let me know about link issues to PDF)
Sir Willian Rowan Hamilton realized the equivalence of the Hamilton-Jacobi equation and the eikonal in 1834. With a little bit of imaginary work theoreticians of his time could have derived a quantum mechanical Hamilton-Jacobi equation equivalent to the Schrödinger equation.
With a long delay, last week I was finally able to have a look at the book "From the Great Wall to the Great Collider - China and the Quest to Uncover the Inner Workings of the Universe", by Steve Nadis and Shing-Tung Yau. And I would like to report about my impressions here.
The following text, a short excerpt from the book "Anomaly!", recounts the time when the top quark was about to be discovered, in 1994-95. After the "evidence" paper that CDF had published in 1994, the CDF and DZERO experiments were both running for the first prize - a discovery of the last quark.
Being back in blogging mood, I decided I would make a poll among the most affectionate readers of this column - those who will come here to read "blog" pieces and not only "articles which are sponsored on the relevant spots in the main web page of the Science20 site.
The idea is that I have a few topics to offer for the next few posts, and I would offer you to choose which one you are interested to read about. Of course, you could also suggest that I write about something different from my proposed topics - but I do not guarantee that I will comply, as I might feel unfit to the requested tasks. We'll see, though.
Here is a short list of a few things I can spend my time talking about in a post here.
- recent CMS results
- recent ATLAS results
I believe it is appropriate if I restart this column today, after a two-month period of semi-inactivity, with a description of what has been going on in my private - well, semi-private - life.
A true-muonium only lives for two microseconds. These atoms are made up one positively and one negatively charged elementary particle, also known as muons. Although they have yet to be observed experimentally, a Japanese theoretical physicist has come up with new ways of creating them, in principle anyway, via particle collisions.
The first method would involve colliding a negatively charged muon and a muonium atom made up of a positive muon and an electron. The second would involve colliding a positively charged muon and a muonic hydrogen atom made up of a proton and a negative muon. .
When white light is passed through a prism, the rainbow on the other side reveals a rich palette of colors. Theoretical physicists, who have increasingly migrated toward making up stuff using math, now claim using such numbers that quantum theories of gravity must also have a 'rainbow' of sorts, composed of different versions of spacetime. They further predict that instead of a single, common spacetime, particles of different energies essentially sense slightly modified versions.
Einstein’s God in physics
In contrast to the known religious with human prayers as main attribute, Einstein’s God is a sincerely scientific one stimulating new research “I want to know God's thoughts... the rest are details”. Its distinguished substance implicitly ‘personalizes’ the answer to the ultimate “Why” of the empirical and math regularities in physics, principally independent of science successes. Without sense of false embarrassment, it is a satisfaction psychological element in physics research not hurting, but rather inciting that research.
The mass of the Higgs boson reported at the Large Hadron Collider in 2012, 125 GeV, looked lighter than the expected energy scale, about 1 TeV, say researchers at Aalto University in Finland, who now propose that there is more than one Higgs boson, and they are much heavier than the consensus.
New CERN experiments at 0.75 TeV suggested evidence of a second Higgs in that region and some scrambled to embrace it. Dr. Tommaso Dorigo of Science 2.0 dismissed it as a spurious 750 GeV signal
observed by ATLAS and CMS in their mass spectra of photon pairs, no different than other spurious signals that ATLAS and CMS have seen in the past.
As a follow-up of yesterday's post on the very opportune Pomeranchuk prize given to Stan Brodsky, I would like to report here on a funny anecdote Stan related to me today. The anecdote is interesting to all of us who believe the world of physics research is fully trans-national - well, it is, but there is apparently some more work to do to improve the situation further.