Abstract
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.
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Financial support of MINECO (Project MTM2014-57129-C2-1-P) and Junta de Castilla y León (VA057U16) is acknowledged.
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Glasser, M.L. (2018). Second Order Exchange Energy of a d-Dimensional Electron Fluid. In: Angilella, G., Amovilli, C. (eds) Many-body Approaches at Different Scales. Springer, Cham. https://doi.org/10.1007/978-3-319-72374-7_24
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DOI: https://doi.org/10.1007/978-3-319-72374-7_24
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