Singular Schrödinger Operators as Limits Point Interaction Hamiltonians
Singular Schrödinger Operators as Limits Point Interaction Hamiltonians
复制标题
奇异薛定谔算子作为极限点相互作用哈密顿量
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
A. Teta
中科院分区：
文献类型：
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作者：
J. Brasche;R. Figari;A. Teta
In this paper we give results on the approximation of (generalized) Schrödinger operators of the form - ▵ + µ for some finite Radon measure µ on Rd. For d = 1 we shall show that weak convergence of measures µn to µ implies norm resolvent convergence of the operators -▵ + µn to -▵ + µ. In particular Schrödinger operators of the form - ▵ + µ for some finite Radon measure µ can be regularized or approximated by Hamiltonians describing point interactions. For d = 3 we shall show that a fairly large class of singular interactions can be regarded as limit of point interactions.
