Microscopic Derivation of Ginzburg-Landau Theory

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Microscopic Derivation of Ginzburg-Landau Theory. / Frank, Rupert; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip.

I: Journal of the American Mathematical Society, Bind 25, Nr. 3, 2012, s. 667-713.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Frank, R, Hainzl, C, Seiringer, R & Solovej, JP 2012, 'Microscopic Derivation of Ginzburg-Landau Theory', Journal of the American Mathematical Society, bind 25, nr. 3, s. 667-713. <http://arxiv.org/abs/1102.4001>

APA

Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. P. (2012). Microscopic Derivation of Ginzburg-Landau Theory. Journal of the American Mathematical Society, 25(3), 667-713. http://arxiv.org/abs/1102.4001

Vancouver

Frank R, Hainzl C, Seiringer R, Solovej JP. Microscopic Derivation of Ginzburg-Landau Theory. Journal of the American Mathematical Society. 2012;25(3):667-713.

Author

Frank, Rupert ; Hainzl, Christian ; Seiringer, Robert ; Solovej, Jan Philip. / Microscopic Derivation of Ginzburg-Landau Theory. I: Journal of the American Mathematical Society. 2012 ; Bind 25, Nr. 3. s. 667-713.

Bibtex

@article{1f0571a2e1b84b2884594e23cabbb274,
title = "Microscopic Derivation of Ginzburg-Landau Theory",
abstract = "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. ",
author = "Rupert Frank and Christian Hainzl and Robert Seiringer and Solovej, {Jan Philip}",
year = "2012",
language = "English",
volume = "25",
pages = "667--713",
journal = "Journal of the American Mathematical Society",
issn = "0894-0347",
publisher = "American Mathematical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Microscopic Derivation of Ginzburg-Landau Theory

AU - Frank, Rupert

AU - Hainzl, Christian

AU - Seiringer, Robert

AU - Solovej, Jan Philip

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

M3 - Journal article

VL - 25

SP - 667

EP - 713

JO - Journal of the American Mathematical Society

JF - Journal of the American Mathematical Society

SN - 0894-0347

IS - 3

ER -

ID: 40301670