Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground-state properties of the one dimensional electron liquid   We present a theory of the pair distribution function $g(z)$ and many-body
effective electron-electron interaction for one dimensional (1D) electron
liquid. Our approach involves the solution of a zero-energy scattering
Schr\"odinger equation for $\sqrt{g(z)}$ where we implemented the Fermi
hypernetted-chain approximation including the elementary diagrams corrections.
We present numerical results for $g(z)$ and the static structure factor $S(k)$
and obtain good agreement with data from diffusion Monte Carlo studies of the
1D system. We calculate the correlation energy and charge excitation spectrum
over an extensive range of electron density. Furthermore, we obtain the static
correlations in good qualitative agreement with those calculated for the
Luttinger liquid model with long-range interactions.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs