Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction

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In a recent paper we give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Here we present our results in the simplified case of a one-dimensional system of particles interacting via a delta-potential.
Original languageEnglish
Title of host publicationOperator Methods in Mathematical Physics : Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland
EditorsJan Janas, Pavel Kurasov, Ari Laptev, Sergei Naboko Naboko
PublisherSpringer
Publication date2013
Pages57-88
ISBN (Print)978-3-0348-0530-8
ISBN (Electronic)978-3-0348-0531-5
DOIs
Publication statusPublished - 2013
SeriesOperator Theory: Advances and Applications
Volume227

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