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I am a scientific researcher at Centre of Theoretical and Computational Chemistry at the University of Oslo. I work at the ERC funded project ABACUS, studying mainly the fundamentals of density functional theory for atoms and molecules. This involves some functional analysis, convex analysis, quantum mechanics and a little chemistry.
I also stydy numerical methods for quantum systems in general, and in particular for time evolution of the manybody Schrödinger equation.
In short: a mathematically oriented physicist with chemistry aspirations.
Constrained-search formulation of DFT: by Levy or by Levy-Lieb
Lieb showed that constrained search using <i>density operators</i>, instead of pure states as Levy did, produces a universal functional which is lower semicontinuous and convex.