Geodesic
Microscopic derivation of Ginzburg-Landau theory
Frank, Rupert1 ; Hainzl, Christian2 ; Seiringer, Robert3 ; Solovej, Jan4
1 Department of Mathematics, Princeton University, Princeton, New Jersey 08544
2 Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
3 Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC H3A 2K6, Canada
4 Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
Journal of the American Mathematical Society, Tome 25 (2012) no. 3, pp. 667-713

Voir la notice de l'article provenant de la source American Mathematical Society

We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof.
DOI : 10.1090/S0894-0347-2012-00735-8

Frank, Rupert 1 ; Hainzl, Christian 2 ; Seiringer, Robert 3 ; Solovej, Jan 4

1 Department of Mathematics, Princeton University, Princeton, New Jersey 08544
2 Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
3 Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC H3A 2K6, Canada
4 Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark 
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Frank, Rupert; Hainzl, Christian; Seiringer, Robert; Solovej, Jan. Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society, Tome 25 (2012) no. 3, pp. 667-713. doi: 10.1090/S0894-0347-2012-00735-8

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