Relations between N-representable n-particle densities

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24 Citations (SciVal)

Abstract

We show that the convex set that determines which n-particle densities can arise from an N-particle wavefunction becomes smaller when N increases. We also show that their boundaries have empty intersection for fermions (but not for bosons). The N-representability conditions thus become more constraining for more particles. Finally, we show that it is impossible, in a combinatorial way, to determine a unique n-particle density that integrates to a given in-particle density (where m < n). (c) 2006 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)363-366
JournalChemical Physics Letters
Volume422
Issue number4-6
DOIs
Publication statusPublished - 2006

Subject classification (UKÄ)

  • Condensed Matter Physics

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