On the spectral theory of schrödinger and dirac operators with strongly singular potentials
On the spectral theory of schrödinger and dirac operators with strongly singular potentials
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DOI：
10.1007/bfb0067087
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发表时间：
1975
期刊：
影响因子：
--
通讯作者：
H. Kalf;U. Schmincke;J. Walter;R. Wüst
中科院分区：
文献类型：
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作者：
H. Kalf;U. Schmincke;J. Walter;R. Wüst
在本文中，我们想给一个调查工作的频谱理论的薛定谔和狄拉克运营商，已完成的第一次在教授G。Hellwig的研究所在技术大学的柏林和自1966年以来在他的数学研究所在亚琛。由于篇幅所限，我们将不讨论一维情形的任何结果。此外，我们将只限于第一个谱问题1）（见[50，p.302 ff.]）：（Q. 1)与薛定谔或狄拉克表达式相关联的极小算子是否具有唯一的自伴扩张（在这种情况下，极小算子称为本质自伴[76，p. 51 J]），或者与此等价的是，其闭包的谱是真实的直线的子集吗？
In the present paper we should like to give a survey of the work on the spectral theory of Schrodinger and Dirac operators that has been done first at Professor G. Hellwig's institute at the Technical University of Berlin and since 1966 at his Institute of Mathematics in Aachen. For lack of space we shall not enter into any results on the one-dimensional case. Moreover, we shall confine ourselves to the very first spectral problem 1)(see [50, p. 302 ff.]):(Q. 1) Does the minimal operator to be associated with the Schrodinger or Dirac expression have a unique selfadjoint extension (in which case the minimal operator is called essentially self-adjoint [76, p. 51 J), or what is equivalent to this, is the spectrum of its closure a subset of the real line?