Exact expression of the ground state energy of quantum many-particle systems as a functional of the particle density

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dc.creatorLiu, Yu-Liang
dc.date2001-01-29
dc.date.accessioned2026-07-07T02:40:12Z
dc.date.available2026-07-07T02:40:12Z
dc.descriptionBy introducing a phase field and solving the eigen-functional equation of particles, we obtain the exact expressions of the ground state energy as a functional of the particle density for interacting electron/boson systems, and a two-dimensional electron gas under an external magnetic field, respectively. With the eigen-functionals of the particles, we can construct the ground state wave-function of the systems. Moreover, with the expressions of the ground state energy, we can exactly determine the ground state energy and the ground state particle density of the systems by taking $% δE_g[ρ]/δρ(x)=0$.
dc.description11 pages, latex file
dc.identifierhttps://arxiv.org/abs/cond-mat/0101428
dc.identifierhttp://arxiv.org/abs/cond-mat/0101428
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17298
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleExact expression of the ground state energy of quantum many-particle systems as a functional of the particle density
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