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

Abstract : We generalize a “one-eigenstate” version of the density square root theorem 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 have a finite spin, the RDFT uses eigenmixture density operators to simplify predictions of ground-state energies into one-dimensional, radial calculations. We also study Schrödinger equations governing spin eigendensity matrices.
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B.G. Giraud, P. Moussa. Schrödinger equations for the square root density of an eigenmixture and the square root of an eigendensity spin matrix. Physical Review C, American Physical Society, 2010, 82, pp.024301. ⟨10.1103/PhysRevC.82.024301⟩. ⟨cea-02888112⟩

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