Spectral properties of three-electron systems in the Hubbard model

被引:0
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作者
S. M. Tashpulatov
机构
[1] Academy of Sciences of the Republic of Uzbekistan,Institute for Nuclear Physics
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关键词
Hubbard model; three-electron system; quartet state; triplet state; doublet state; singlet state; essential spectrum; discrete spectrum; three-electron bound state; discrete Schrödinger operator;
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摘要
We investigate spectral properties of a three-electron system in the Hubbard model framework. We prove that the essential spectrum of the system in a quartet state consists of a single segment and the three-electron bound state is absent. We show that the essential spectrum of the system in doublet states is the union of at most three segments. We also prove that three-electron bound states exist in doublet states.
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页码:712 / 728
页数:16
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