Schrödinger equations for the square root density of an eigenmixture and % the square root of an eigendensity spin matrix

Details Schrödinger equations for the square root density of an eigenmixture and % the square root of an eigendensity spin matrix Schrödinger equations for the square root density of an eigenmixture and % the square root of an eigendensity spin matrix

2009-06-15

arxiv.org/abs/0906.2668v1

Physics

Nuclear Physics

Nuclear Theory

8 pages

Scientific paper

We generalize a "one eigenstate" theorem of Levy, Perdew and Sahni (LPS) to the case of densities coming from eigenmixture density operators. The generalization is of a special interest for the radial density functional theory (RDFT) for nuclei, a consequence of the rotational invariance of the nuclear Hamiltonian; when nuclear ground states (GSs) have a finite spin, the RDFT uses eigenmixture density operators to simplify predictions of GS energies into one-dimensional, radial calculations. We also study Schr\"odinger equations governing spin eigendensity matrices.

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