Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Luttinger Liquid in Box   We study a Luttinger Liquid in a finite one-dimensional wire with box-like
boundary conditions by considering the local distribution of the single
particle spectral weight. This corresponds to the experimental probability of
extracting a single electron at a given place and energy, which can be
interpreted as the square of an electron wave-function. For the non-interacting
case, this is given by a standing wave at the Fermi wave-vector. In the
presence of interactions, however, the wave-functions obtain additional
structure with a sharp depletion near the edges and modulations throughout the
wire. In the spinful case, these modulations correspond to the separate spin-
and charge-like excitations in the system.

31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex