  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.
