Weakly coupled bound states of Pauli operators
Weakly coupled bound states of Pauli operators
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DOI：
10.1007/s00526-010-0339-x
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发表时间：
2011-01-01
影响因子：
2.1
通讯作者：
Vugalter, Semjon
中科院分区：
文献类型：
--
作者：
Frank, Rupert L.;Morozov, Sergey;Vugalter, Semjon
我们考虑受弱耦合吸引势扰动的二维Pauli算符。我们证明了对于任意小的耦合，除了由Aharonov-Casher零模产生的本征值外，还有两个或一个(取决于磁场通量是否为整数)附加本征值，并计算了它们在弱耦合极限下的渐近性。
We consider the two-dimensional Pauli operator perturbed by a weakly coupled, attractive potential. We show that besides the eigenvalues arising from the Aharonov-Casher zero modes there are two or one (depending on whether the flux of the magnetic field is integer or not) additional eigenvalues for arbitrarily small coupling and we calculate their asymptotics in the weak coupling limit.