Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schr\"odinger equations for the square root density of an eigenmixture
  and % the square root of an eigendensity spin matrix   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.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: cs