Mathematical and Numerical Methods for Complex Quantum Systems

Mar 26 - 30, 2014

University of Illinois at Chicago
Mathematics, Statistics and Computer Science

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CONFERENCE SCHEDULE

CONFERENCE LECTURES

ABSTRACT

Complex quantum systems arise in the description of matter at microscopic and nano-scopic scales. The mathematical formulation and the efficient numerical simulation of such systems is a notoriously difficult problem due to the appearance of, e.g., multiple scales, high dimensional configurations spaces, multi-particle interactions, nonlinear effects, and/or degeneracies of eigenspaces. An interplay between mathematical analysis and numerical simulations is usually needed in order to obtain reliable models. This workshop will focus on recent developments and open challenges in the numerical and mathematical study of complex quantum systems with applications in molecular dynamics, condensed matter physics, and semiconductor materials, including graphene modeling.

GOALS

The goal of this workshop is to bring together experts in the mathematical analysis and the numerical simulation of complex quantum systems. Participants will include applied mathematicians, mathematical physicists and experts from theoretical chemistry. Emphasis will be placed on multi-scale problems (arising, for example, in the adiabatic description of quantum systems), band-mixing (including surface hopping algortihms), mean-field equations, and the reduction of high-dimensional systems to effective lower dimensional models. Relativistic equations for graphene will also be featured.

REGISTRATION CLOSED

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FUNDING

A limited amount of travel and local lodging is available for researchers in the early stages of their career who want to attend the full program, especially for graduate students and post-doctoral fellows.

INFORMATION FOR PARTICIPANTS

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ACKNOWLEDGMENT

Funding provided by the NSF through the KI-net Grant.