Frank, Rupert L. and Hainzl, Christian and Seiringer, Robert and Solovej, Jan Philip (2013) Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. In: Operator Methods in Mathematical Physics. Operator Theory: Advances and Applications. No.227. Springer , Basel, pp. 57-88. ISBN 978-3-0348-0531-5. https://resolver.caltech.edu/CaltechAUTHORS:20170501-083839909
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Abstract
In a recent paper [7] we give the first rigorous derivation of the celebrated Ginzburg-Landau (GL)the ory, starting from the microscopic Bardeen- Cooper-Schrieffer (BCS)mo del. Here we present our results in the simplified case of a one-dimensional system of particles interacting via a δ-potential.
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| Additional Information: | © 2013 Springer Basel. First Online: 12 December 2012. Part of this work was carried out at the Erwin Schrödinger Institute for Mathematical Physics in Vienna, Austria, and the authors are grateful for the support and hospitality during their visit. Financial support via U.S. NSF grants DMS-0800906 (C.H.) and PHY-0845292 (R.S.) and a grant from the Danish council for independent research (J.P.S.) is gratefully acknowledged. | |||||||||||||||
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| Subject Keywords: | Ginzburg–Landau theory; BCS theory; semiclassical analysis; superfluidity; superconductivity | |||||||||||||||
| Series Name: | Operator Theory: Advances and Applications | |||||||||||||||
| Issue or Number: | 227 | |||||||||||||||
| Classification Code: | Mathematics Subject Classification (2010). Primary 82D50; Secondary 81Q20, 35Q56 | |||||||||||||||
| DOI: | 10.1007/978-3-0348-0531-5_3 | |||||||||||||||
| Record Number: | CaltechAUTHORS:20170501-083839909 | |||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170501-083839909 | |||||||||||||||
| Official Citation: | Frank R.L., Hainzl C., Seiringer R., Solovej J.P. (2013) Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction. In: Janas J., Kurasov P., Laptev A., Naboko S. (eds) Operator Methods in Mathematical Physics. Operator Theory: Advances and Applications, vol 227. Birkhäuser, Basel | |||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||||||||
| ID Code: | 77091 | |||||||||||||||
| Collection: | CaltechAUTHORS | |||||||||||||||
| Deposited By: | Ruth Sustaita | |||||||||||||||
| Deposited On: | 01 May 2017 16:17 | |||||||||||||||
| Last Modified: | 15 Nov 2021 17:28 |
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