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Profile
| Research fields | Mathematics in quantum theory,Linear and multilinear algebra; matrix theory,Theoretical Physics |
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| Keywords | Many-body quantum dynamics, Nonlinear PDE, Quantum Electrodynamics, Random Matrix Theory, Scattering theory |
Current contact address
| Country | Switzerland |
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| City | Zürich |
| Institution | Universität Zürich |
| Institute | Institut für Mathematik & Computational Science |
Host during sponsorship
| Prof. Dr. Laszlo Erdös | Mathematisches Institut, Ludwig-Maximilians-Universität München (LMU), München |
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| Start of initial sponsorship | 01/07/2007 |
Programme(s)
| 2006 | Sofja Kovalevskaja Award Programme |
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Nominator's project description
| In the first half of the 20th century, when physicists observed that new properties were revealed by light interacting with material, classical physics reached its limits. It was the birth of quantum mechanics, the principles of which are part of common knowledge in physics nowadays, such as the fact that material particles exhibit waves, just like light. This is a principle used in modern electron microscopes. One of the main pillars of quantum mechanics is the Schrödinger equation which, to this day, has been very successful in predicting experiments. But when it comes to examining macroscopic systems - i.e. systems composed of multitudes of the tiniest particles - the amount of data is so enormous that even the most modern computers are not powerful enough to solve the Schrödinger equation. Benjamin Schlein is trying to develop mathematical methods which will make it possible to derive simpler equations to describe the dynamics of macroscopic systems. He wants to create a solid mathematical basis on which to assess and develop further applications in quantum mechanics. |