Spectral Analysis of Schrödinger Operators with Magnetic Fields
Spectral Analysis of Schrödinger Operators with Magnetic Fields
复制标题
磁场下薛定谔算子的谱分析
DOI：
10.1006/jfan.1996.0106
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发表时间：
1996
影响因子：
1.7
通讯作者：
N. Ueki
中科院分区：
文献类型：
--
作者：
H. Matsumoto;N. Ueki
摘要通过考虑相应的经典力学和相应的Dirac算子，确定了一般维欧氏空间中二次薛定谔算子的谱。将所得结果应用于磁场作用下薛定谔算子本征值的半经典逼近研究。
Abstract The spectra of quadratic Schrodinger operators in general dimensional Euclidean spaces are determined by considering the corresponding classical mechanics and the corresponding Dirac operators. The results are applied to the study on the semiclassical approximation of the eigenvalues of Schrodinger operators with magnetic fields.