Large deviations in the quantum quasi-1D jellium

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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 Leblé and Serfaty (2017) to prove a process-level large deviation principle for the empirical fields of the Brownian bridges.
Publisher
Mathematical Sciences Publishers
Issue Date
2022-03
Language
English
Citation

Probability and Mathematical Physics, v.3, no.2, pp.381 - 430

ISSN
2690-0998
URI
http://hdl.handle.net/10203/298010
Appears in Collection
MA-Journal Papers(저널논문)
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