Large deviations in the quantum quasi-1D jellium

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dc.contributor.authorHirsch, Christianko
dc.contributor.authorJansen, Sabineko
dc.contributor.authorJung, Paulko
dc.date.accessioned2022-08-18T07:00:27Z-
dc.date.available2022-08-18T07:00:27Z-
dc.date.created2021-12-17-
dc.date.created2021-12-17-
dc.date.issued2022-03-
dc.identifier.citationProbability and Mathematical Physics, v.3, no.2, pp.381 - 430-
dc.identifier.issn2690-0998-
dc.identifier.urihttp://hdl.handle.net/10203/298010-
dc.description.abstractWigner'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.-
dc.languageEnglish-
dc.publisherMathematical Sciences Publishers-
dc.titleLarge deviations in the quantum quasi-1D jellium-
dc.typeArticle-
dc.type.rimsART-
dc.citation.volume3-
dc.citation.issue2-
dc.citation.beginningpage381-
dc.citation.endingpage430-
dc.citation.publicationnameProbability and Mathematical Physics-
dc.contributor.localauthorJung, Paul-
dc.contributor.nonIdAuthorHirsch, Christian-
dc.contributor.nonIdAuthorJansen, Sabine-
dc.description.isOpenAccessN-
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MA-Journal Papers(저널논문)
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