Findings from published research, checked in the open

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1,545 claims from 958 papers are on the record. 46 have been checked so far; the other 1,499 have no check with a result yet.

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Status: Unchecked ×Keyword: ground state energy ×Clear all

3 claims from 2 papers

1. Physics and Astronomy › Advanced Chemical Physics Studies

   Inhomogeneous Electron Gas

   Hohenberg and Kohn · Physical Review · 1964

   The paper proves a universal functional of electron density gives the exact ground-state energy in any external potential, then examines that functional for nearly uniform and slowly varying densities.

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   1. UncheckedFor nearly uniform or very slowly varying electron densities, the universal energy functional F can be written using properties of a uniform electron gas.“In both cases $F$ can be expressed entirely in terms of the correlation energy and linear and higher order electronic polarizabilities of a uniform electron gas.”

2. Physics and Astronomy › Theoretical and Computational Physics

   Replica bounds for optimization problems and diluted spin systems

   Franz and Leone · arXiv (Cornell University) · 2002

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   1. Unchecked“We analyze a family of models that includes the Viana-Bray model, the diluted p-spin model or random XOR-SAT problem, and the random K-SAT problem, showing that the replica method provides an improvable scheme to obtain lower bounds of the free-energy at all…
   2. Unchecked“In the case of K-SAT the replica method thus gives upper bounds of the satisfiability threshold.”