Persistent currents for the 2D Schrödinger operator with a strong δ-interaction on a loop
Persistent currents for the 2D Schrödinger operator with a strong δ-interaction on a loop
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DOI：
10.1088/0305-4470/35/15/309
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发表时间：
2002-01
期刊：
影响因子：
--
通讯作者：
P. Exner;K. Yoshitomi
中科院分区：
文献类型：
--
作者：
P. Exner;K. Yoshitomi
我们研究了二维磁性薛定谔算子HB，β =(−i∇−A)2−βδ（−Γ），其中Γ是光滑环，矢量势A对应于垂直于平面的均匀磁场B。得到了HB，β的负特征值在β→∞时的渐近性。它特别表明，当正β足够大时，系统表现出持久的电流。
We investigate the two-dimensional magnetic Schrodinger operator HB,β = (−i∇ − A)2 − βδ( − Γ), where Γ is a smooth loop and the vector potential A corresponds to a homogeneous magnetic field B perpendicular to the plane. The asymptotics of negative eigenvalues of HB,β for β → ∞ is found. It shows, in particular, that for large enough positive β the system exhibits persistent currents.