Microscopic Derivation of the Ginzburg-Landau Model

Rupert Frank; Christian Hainzl; Robert  Seiringer; Jan Philip Solovej

Microscopic Derivation of the Ginzburg-Landau Model

Rupert Frank, Christian Hainzl, Robert Seiringer, Jan Philip Solovej

Institut for Matematiske Fag

Abstract

We present a summary of our recent 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.

Originalsprog	Engelsk
Titel	Proceedings of the XVIIth International Congress on Mathematical Physics : Aalborg, Denmark, 6 – 11 August 2012
Redaktører	Arne Jensen
Udgivelsessted	Hackensack, NJ
Forlag	World Scientific
Publikationsdato	2014
Sider	575–583
ISBN (Trykt)	978-981-4449-23-6
ISBN (Elektronisk)	978-981-4449-25-0
Status	Udgivet - 2014

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http://arxiv.org/abs/1209.1080

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Microscopic Derivation of the Ginzburg-Landau Model. / Frank, Rupert; Hainzl, Christian; Seiringer, Robert et al.
Proceedings of the XVIIth International Congress on Mathematical Physics: Aalborg, Denmark, 6 – 11 August 2012. red. / Arne Jensen. Hackensack, NJ: World Scientific, 2014. s. 575–583.

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

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abstract = "We present a summary of our recent 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. ",

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AB - We present a summary of our recent 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.

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Microscopic Derivation of the Ginzburg-Landau Model

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