Second Order Exchange Energy of a d-Dimensional Electron Fluid



A method is presented for reducing a 3d-fold integral occurring in higher order many-body integrals for a d-dimensional electron gas to a double integral. The result is applied to the second order exchange energy for a d-dimensional uniform electron fluid. The cases \(d=2,3\) are examined in detail.



Financial support of MINECO (Project MTM2014-57129-C2-1-P) and Junta de Castilla y León (VA057U16) is acknowledged.


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Authors and Affiliations

  1. 1.Department of PhysicsClarkson UniversityPotsdamUSA
  2. 2.Department of Theoretical PhysicsUniversity of ValladolidValladolidSpain
  3. 3.Donostia International Physics CenterSan SebastiánSpain

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