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Long standing mathematical physics puzzle solved, etc.
Posted on Tuesday, November 22, 2005 @ 20:39:51 UTC by vlad

Science A University of Queensland research team led by senior mathematics lecturer Dr Yao-Zhong Zhang has successfully solved a major long-standing problem in mathematical physics.

Dr Zhang and his postdoctoral fellows Wen-Li Yang and Shao-You Zhao, from the North West University in China, have discovered the determinant representation of correlation functions of the supersymmetric t-J model.

Dr Zhang said the theoretical problem had been around for many years.

“The analytic computation of correlation functions was arguably one of the most challenging and notoriously difficult problems in mathematical physics and its solution will have important implications.

“It opens doors to further research in the theory of exactly soluble models as well as in pure mathematics, statistical mechanics and condensed matter physics.”

Dr Zhang said the work had attracted a great deal of academic interest and had been described by world-leading authorities in the field as a “major breakthrough” and a “great discovery”.

A paper on the solution will appear in the January 2006 issue of the Journal of Mathematical Physics, a leading international scientific journal published by the American Institute of Physics.

A second paper has also been submitted to the prestigious mathematical physics journal Communications in Mathematical Physics.

Dr Zhang and his research team have also been approached by the International Journal of Modern Physics B to write a review article on their research.

Source: University of Queensland
-------------------

Other interesting news from PhysOrg.com:

FIRST RESULTS DESCRIBING THE NATURE OF DARK ENERGY (UPDATE), November 22
The genius of Albert Einstein, who added a "cosmological constant" to his equation for the expansion of the universe but later retracted it, may be vindicated by new research. The enigmatic dark energy that drives the accelerating expansion of the universe behaves just like Einstein's famed cosmological constant, according to the Supernova Legacy Survey. Their observations reveal that the dark energy behaves like Einstein's cosmological constant to a precision of 10 per cent.
Full story at http://www.physorg.com/news8385.html


MAGNET LAB COLLABORATION YIELDS 'R&D 100' HONOR, November 22
When it comes to learning more about the fundamental nature of matter, a little goes a long way toward advancing science and discovery: The smaller the measurement, the better the results. That's the thinking behind an innovation that has landed a National High Magnetic Field Laboratory scientist a share of a prestigious international award.
Full story at http://www.physorg.com/news8394.html

THE IMPOSSIBLE IS POSSIBLE: LASER LIGHT FROM SILICON, November 21
Silicon has made its way into everything from computers to cameras. But a silicon laser? Physically impossible - until now. A Brown University research team led by Jimmy Xu has engineered the first directly pumped silicon laser by changing the structure of the silicon crystal through a novel nanoscale technique. Results appear in an advanced online publication of Nature Materials.
Full story at http://www.physorg.com/news8365.html



 
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