  Wigner's jellium is a model for a gas of electrons. The model consists of $N$
unit negatively charged particles lying in a sea of neutralizing homogeneous
positive charge spread out according to Lebesgue measure, and interactions are
governed by the Coulomb potential. In this work we consider the quantum jellium
on quasi-one-dimensional spaces with Maxwell-Boltzmann statistics. Using the
Feynman-Kac representation, we replace particle locations with Brownian
bridges. We then adapt the approach of Lebl\'e and Serfaty (2017) to prove a
process-level large deviation principle for the empirical fields of the
Brownian bridges.
