Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time-dependent density-functional theory for strongly interacting
  electrons   We consider an analytically solvable model of two interacting electrons that
allows for the calculation of the exact exchange-correlation kernel of
time-dependent density functional theory. This kernel, as well as the
corresponding density response function, is studied in the limit of large
repulsive interactions between the electrons and we give analytical results for
these quantities as an asymptotic expansion in powers of the square root of the
interaction strength. We find that in the strong interaction limit the three
leading terms in the expansion of the kernel act instantaneously while memory
terms only appear in the next orders. We further derive an alternative
expansion for the kernel in the strong interaction limit on the basis of the
theory developed in [Phys. Chem. Chem. Phys. 18, 21092 (2016)] using the
formalism of strictly correlated electrons in the adiabatic approximation. We
find that the first two leading terms in this series, corresponding to the
strictly correlated limit and its zero-point vibration correction, coincide
with the two leading terms of the exact expansion. We finally analyze the
spatial non-locality of these terms and show when the adiabatic approximation
breaks down. The ability to reproduce the exact kernel in the strong
interaction limit indicates that the adiabatic strictly correlated electron
formalism is useful for studying the density response and excitation properties
of other systems with strong electronic interactions.

33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: econ
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci