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

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

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 \( \delta \)-potential.

Keywords

Ginzburg–Landau theory BCS theory semiclassical analysis superfluidity superconductivity. 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Rupert L. Frank
    • 1
  • 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

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