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Fiber orders and compact spaces of uncountable weight

Antonio Avilés, Ondřej F. K. Kalenda (2009)

Fundamenta Mathematicae

We study an order relation on the fibers of a continuous map and its application to the study of the structure of compact spaces of uncountable weight.

First-order semidefinite programming for the two-electron treatment of many-electron atoms and molecules

David A. Mazziotti (2007)

ESAIM: Mathematical Modelling and Numerical Analysis


The ground-state energy and properties of any many-electron atom or molecule may be rigorously computed by variationally computing the two-electron reduced density matrix rather than the many-electron wavefunction. While early attempts fifty years ago to compute the ground-state 2-RDM directly were stymied because the 2-RDM must be constrained to represent an N-electron wavefunction, recent advances in theory and optimization have made direct computation of the 2-RDM possible. The constraints in...

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