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

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

doi:10.1007/978-3-0348-0531-5_3

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

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

Department of Mathematical Sciences

6 Citations (Scopus)

Abstract

In a recent paper [7] 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 δ-potential.

Original language	English
Title of host publication	Operator Methods in Mathematical Physics : Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland
Editors	Jan Janas, Pavel Kurasov, Ari Laptev, Sergei Naboko Naboko
Publisher	Springer
Publication date	2013
Pages	57-88
ISBN (Print)	978-3-0348-0530-8
ISBN (Electronic)	978-3-0348-0531-5
DOIs	https://doi.org/10.1007/978-3-0348-0531-5_3
Publication status	Published - 2013

Series	Operator Theory: Advances and Applications
Volume	227

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10.1007/978-3-0348-0531-5_3

http://arxiv.org/abs/1103.1866

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Frank, R., Hanizl, C., Seiringer, R., & Solovej, J. P. (2013). Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. In J. Janas, P. Kurasov, A. Laptev, & S. N. Naboko (Eds.), Operator Methods in Mathematical Physics : Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland (pp. 57-88). Springer. Operator Theory: Advances and Applications Vol. 227 https://doi.org/10.1007/978-3-0348-0531-5_3

Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. / Frank, Rupert; Hanizl, Christian; Seiringer, Robert et al.

Operator Methods in Mathematical Physics : Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland. ed. / Jan Janas; Pavel Kurasov; Ari Laptev; Sergei Naboko Naboko. Springer, 2013. p. 57-88 (Operator Theory: Advances and Applications , Vol. 227).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Frank, R, Hanizl, C, Seiringer, R & Solovej, JP 2013, Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. in J Janas, P Kurasov, A Laptev & SN Naboko (eds), Operator Methods in Mathematical Physics : Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland. Springer, Operator Theory: Advances and Applications , vol. 227, pp. 57-88. https://doi.org/10.1007/978-3-0348-0531-5_3

Frank R, Hanizl C, Seiringer R, Solovej JP. Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. In Janas J, Kurasov P, Laptev A, Naboko SN, editors, Operator Methods in Mathematical Physics : Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland. Springer. 2013. p. 57-88. (Operator Theory: Advances and Applications , Vol. 227). doi: 10.1007/978-3-0348-0531-5_3

Frank, Rupert ; Hanizl, Christian ; Seiringer, Robert et al. / Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. Operator Methods in Mathematical Physics : Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland. editor / Jan Janas ; Pavel Kurasov ; Ari Laptev ; Sergei Naboko Naboko. Springer, 2013. pp. 57-88 (Operator Theory: Advances and Applications , Vol. 227).

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

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