by Computational Sciences
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Chapman University’s Computational Sciences provides a unique interdisciplinary approach to solving critically important problems using mathematics, physics, chemistry, biology, statistics and computing. Through the modeling, simulation, data mining, and study of specific phenomena via computer analysis and engineering, students learn to apply extraordinary technology and processes to answer the world’s most complex questions.
|1||VideoThe Frontiers of Fundamental Physics||Is there physics beyond the Standard Model? The world is swirling with the announcement of the Higgs boson particle. Here, Nobel Laureate Dr. David Gross explores the principles that might unify all the forces of nature and help scientists understand the origin and history of the universe. He also discusses what it might mean to have a final theory of fundamental physics and whether science is capable of discovering it. Gross was named co-winner of the 2004 Nobel Prize for his part in constructing the mathematical structure of the Higgs boson theory. The announcement of Higgs Boson theory validates years of using the Standard Model and says "yes"; there is physics beyond the Standard Model. Additionally, Gross has been a central figure in the theoretical developments surrounding the emergence of quantum chromodynamics (QCD) as the accepted theory of the strong (nuclear) force. His discovery, with his student Frank Wilczek, of asymptotic freedom—the primary feature of non-Abelian gauge theories—led Gross and Wilczek to the formulation of QCD. Asymptotic freedom is a phenomenon where the nuclear force weakens at short distances, which explains why experiments at very high energy can be understood as if nuclear particles are made of non-interacting quarks. The flip side of asymptotic freedom is that the force between quarks grows stronger as one tries to separate them. This is the reason why the nucleus of an atom can never be broken into its quark constituents. Filmed by Panther Productions.||3/21/2012||Free||View In iTunes|
|2||VideoCan the Future Affect the Present without Violating Causality?||National Medal of Science winner, Dr. Yakir Aharonov discusses the properties of pre- and post-selected ensembles in quantum mechanics and the way to observe these properties through the use of a new type of non-disturbing measurement called 'weak measurement'. A number of these new experiments have already been successfully performed. He further discusses another type of measurement which does not disturb the observed quantum system. The main result of this new approach is the realization that the basic difference between classical and quantum mechanics is the non-local aspects of quantum dynamics. Theoretical analysis of the outcomes of these experiments have produced several very rich results. First, it has shed new light on the most puzzling features of quantum mechanics, such as interference, entanglement, etc. Secondly, it has uncovered a host of new quantum phenomena, which were previously hidden. Dr. Yakir Aharonov, professor of physics at Chapman University, was awarded the nation’s highest science honor, the National Medal of Science, at the White House last fall, and is considered a likely candidate for the Nobel Prize.||12/14/2011||Free||View In iTunes|
|3||VideoWeak measurements and the discovery of a new kind of mathematics called superoscillations||We are taught that if waves with a variety of wavelengths are superposed, then we cannot create structures whose details are smaller than the shortest wavelength in the original superposition. But this is not correct. That is, even if the smallest wave has a wavelength of 1m, we can create arbitrarily detailed structures, say, with feature sizes of 1mm. This miracle comes with a penalty: outside the superoscillatory region, the wave must be exponentially large. For example, if we wanted to reproduce a Beethoven symphony with sound frequencies not larger than 1Hz, then somebody (possibly far away) would have to listen to sounds exp(10^19) louder. The new kind of mathematics we’ve been developing here at Chapman (a/k/a Superoscillations) has had significant implications for signal processing and has led to new kinds of microscopes which can resolve sub-wavelength structures without the use of evanescent waves. We were led to this discovery as a result of our work in quantum mechanics concerning the relationship between past, present, future and weak measurements. In this talk Dr. Anahronov will describe how this came about along with some new exciting discoveries concerning the nature of super oscillations. Filmed by Panther Productions.||12/15/2011||Free||View In iTunes|