%0 Journal Article
%T A NONLOCAL EXTENSION OF THE GINZBURG-LANDAU EQUATIONS IN THE THEORY OF SUPERCONDUCTIVITY<br>超导电理论中的Гинзбург-Ландау方程的非局域推广
%A WU HANG-SHENG
%A LEI HSIAO-LIN
%A <br>吴杭生
%A 雷啸霖
%J 物理学报
%D 1965
%I 
%X The necessary conditions in the microscopic derivation of the Ginzburg-Landau (GL) equations are discussed, by showing that for a Pippard-or an intermediate-type superconductor the GL equations are valid only in a rather narrow region. Basing on the Gorkov equations for the thermodynamic Green functions of superconductor and using a nonlocal series of the "Green function of normal metal" in the magnetic field, we have derived a pair of coupled integro-differential equations for the energy-gap function and vector potential. These equations are valid for the Pippard- and intermediate-type superconductors in the same region near Tc as that for the London-type. The equations are applied to a semi-infinite superconductor in a static magnetic field. The integral expressions for energy-gap function and penetration depth are given. In the London and Pippard limit the integrals are performed analytically. For a superconductor of the Pippard-type, the corrections of energy-gap function and penetration depth due to magnetic field are calculated in the whole region near Tc. It is shown that the behaviour of a Pippard-type superconductor differs much from that predicted by the GL theory.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=2553B092536B8A37&yid=DCB97F70EF167067&vid=659D3B06EBF534A7&iid=DF92D298D3FF1E6E&sid=B7AB8E33F0FC19ED&eid=01471B003B2963CC&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0