Energy dependence with the number of particles: Density and reduced density matrices functionals

The energy of a physical domain within a molecular system considered as a quantum open system is analyzed as a functional of the electron distribution dependence with the number of particles. Our attention is focused upon the constrained-search functionals of the electron density, the 1- and 2-reduc...

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Autores principales: Miranda-Quintana, R.A., Bochicchio, R.C.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00092614_v593_n_p35_MirandaQuintana
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Sumario:The energy of a physical domain within a molecular system considered as a quantum open system is analyzed as a functional of the electron distribution dependence with the number of particles. Our attention is focused upon the constrained-search functionals of the electron density, the 1- and 2-reduced density matrices (1-, 2-RDMs) for grand-canonical states. It is shown that functionals of the 2-RDM depend on the number of particles if the ground state energy is not a convex function of them. © 2014 Elsevier B.V. All rights reserved.