Spectral properties of the BCS gap equation of superfluidity

2008/02/04 by Christian Hainzl, Robert Seiringer
Mathematics · Physics and Astronomy · #cond-mat.supr-con #math-ph #math.MP

paper · pdf · doi:10.1142/9789812832382_0009

Plenary talk given by C. Hainzl at QMath10, Moeciu, Romania, September 10-15, 2007

arxiv created 2008/02/04 · arxiv updated 2017/08/23

Abstract

We present a review of recent work on the mathematical aspects of the BCS gap equation, covering our results of [arXiv:0801.4159] as well our recent joint work with Hamza and Solovej [arXiv:math-ph/0703086] and with Frank and Naboko [arXiv:0704.3564], respectively. In addition, we mention some related new results.

Citations

• Critical Temperature and Energy Gap for the BCS Equation
• The BCS Functional for General Pair Interactions
• The critical temperature for the BCS equation at weak coupling