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Molecular simulation and related topics: some open mathematical problems

Eric Cancès1,2, C Le Bris1,2 and P-L Lions3,4

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OPEN PROBLEM

This paper presents some open mathematical questions in molecular simulation and related topics. Molecular simulation is a broad field, of major practical interest, which has received little attention from the mathematical community for years. The situation is rapidly changing. We review here some mathematical questions that we find the most challenging ones among the many that remain unsolved.


PACS

31.15.ve Electron correlation calculations for atoms and ions: ground state

31.15.E- Density-functional theory

MSC

15A18 Eigenvalues, singular values, and eigenvectors

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

81V55 Molecular physics (See also 92E10)

Subjects

Atomic and molecular physics

Computational physics

Dates

Issue 9 (September 2008)

Received 19 May 2008, in final form 18 June 2008

Published 11 July 2008



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