Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction

  • Rupert L. FrankEmail author
  • Christian Hainzl
  • Robert Seiringer
  • Jan Philip Solovej
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 227)


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 \( \delta \)-potential.


Ginzburg–Landau theory BCS theory semiclassical analysis superfluidity superconductivity. 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Rupert L. Frank
    • 1
    Email author
  • Christian Hainzl
    • 2
  • Robert Seiringer
    • 3
  • Jan Philip Solovej
    • 4
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Mathematisches InstitutUniversität TübingenTübingenGermany
  3. 3.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada
  4. 4.Department of MathematicsUniversity of CopenhagenCopenhagenDenmark

Personalised recommendations