Seminar | August 31 | 2-3:30 p.m. | 891 Evans Hall
Lin Lin, University of California, Berkeley
Quantum physics requires the solution of PDEs in high dimensional spaces, but this is hard. Various numerical schemes have been developed to solve these PDEs approximately in the past decades. Understandably, some high fidelity models can only be applied to systems of very small sizes, while relatively low fidelity models can be applied to much larger systems. The theory (or sometimes more accurately, "recipe") of embedding allows one to marry different approximations together to handle large systems with relatively high fidelity. These theories are widely used in quantum physics and chemistry, but there is little mathematical understanding available. We plan to investigate some of the work in the literature from a mathematical perspective.
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