数学物理学报 ›› 2011, Vol. 31 ›› Issue (5): 1359-1368.

• 论文 • 上一篇    下一篇

费米子气体附近BCS-BEC跨越的Ginzburg-Landau方程组整体解的存在性

陈淑红1,2, 郭柏灵1   

  1. 1.中国计量学院 |理学院数学系 |杭州 310018|2.北京应用物理与计算数学研究所 |北京 100088
  • 收稿日期:2009-08-21 修回日期:2011-06-10 出版日期:2011-10-25 发布日期:2011-10-25
  • 基金资助:

    浙江省自然科学基金(Y6110078)资助

The Existence of Global Solution of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover

CHEN Shu-Hong1,2, GUO Bo-Ling1   

  1. 1.Department of Information and Mathematics Sciences, China Jiliang University, Hangzhou 310018;
    2.Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088
  • Received:2009-08-21 Revised:2011-06-10 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    浙江省自然科学基金(Y6110078)资助

摘要:

该文考虑费米子—玻色模型中Feshbach共振附近费米气体超流所呈现出来的依赖于时间的Ginzburg-Landau方程组. 由矩阵的基本原理以及Galerkin逼近方法, 得到了方程组整体解的存在唯一性.

关键词: 整体解的存在唯一性, 依赖于时间的Ginzburg-Landau 理论, BCS-BEC 跨越, Galerkin 逼近方法

Abstract:

In this paper the authors investigate a time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the fermion-boson model. By matrix theory and Galerkin method, the global existence and uniqueness of solution to the equations are obtained.

Key words: Existence and uniqueness of global solution, Time-dependent Ginzburg-Landau theory, BCS-BEC crossover, Galerkin method, Matrix
theory

中图分类号: 

  • 35Q55