Random Schrödinger Operators: Universal Localization, Correlations, and Interactions (09w5116)
Organizers
Jean Bellissard (Westfälisches Wilhelm Universität)
Peter Hislop (University of Kentucky)
Abel Klein (University of California, Irvine)
Gunter Stolz (University of Alabama at Birmingham)
Description
The basic theory of electrical conductivity is a simple model of an electron moving in a perfect crystal of identical atoms. However, perfect crystals do not exist in nature, so it is natural to consider impurities and defects in crystals. The properties of these real crystals are very different. One of the most striking effects is that electrons do not propagate freely and may actually be localized in space.
The mathematical theory of random Schrodinger operators provides models which allow a rigorous study of the propagation properties of electrons in disordered systems and thus an understanding of the finite conductivity observed in nature. The proposed workshop will assemble leading mathematical physicists for a discussion of recent advances and open challenges in this field.
The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).
