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Some formal properties of ensemble density functionals

Authors

  • Daniel P. Joubert

    Corresponding author
    1. Centre for Theoretical Physics, School of Physics, University of Witmatersrand, PO Wits 2050, Johannesburg, South Africa
    • Centre for Theoretical Physics, School of Physics, University of Witmatersrand, PO Wits 2050, Johannesburg, South Africa
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Abstract

Formal properties of ensemble density functionals are examined. Expressions for the difference between energy functionals where the particle number differs by one are constructed in terms of their first functional derivatives for the universal energy functional, the electron–electron repulsion energy functional, and the interacting kinetic energy functional. Equations that must be satisfied by second and higher order functional derivatives are derived. It is also shown that the shape of equation image and equation image, the functional derivatives of the mutual electron–electron repulsion, and kinetic energy, respectively, are separately particle number independent for particle numbers between successive integers. © 2013 Wiley Periodicals, Inc.

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