東大数理セミナー情報 --- 関数解析セミナー

開催情報水曜日15:00~16:00数理科学研究科棟(駒場) 370号室
担当者中村 周

2012年02月20日(月)

16:30 - 17:30 数理科学研究科棟(駒場) 128号室
Jan Philip SOLOVEJ 氏 (コペンハーゲン大学)
『 Microscopic derivation of the Ginzburg-Landau model 』(ENGLISH)
I will discuss how the \emph{Ginzburg-Landau} (GL) model of superconductivity arises as an asymptotic limit of the microscopic Bardeen-Cooper-Schrieffer (BCS) model. The asymptotic limit may be seen as a semiclassical limit and one of the main difficulties is to derive a semiclassical expansion with minimal regularity assumptions. It is not rigorously understood how the BCS model approximates the underlying many-body quantum system. I will formulate the BCS model as a variational problem, but only heuristically discuss its relation to quantum mechanics.