Spectral properties of three-electron systems in the Hubbard model

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• 作者：S. M. Tashpulatov (1)
  
• 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 Schr枚dinger operator
• 刊名：Theoretical and Mathematical Physics
• 出版年：2014
• 出版时间：June 2014
• 年：2014
• 卷：179
• 期：3
• 页码：712-728
• 全文大小：446 KB
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• 作者单位：S. M. Tashpulatov (1)
  
  1. Institute for Nuclear Physics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
  
• ISSN：1573-9333

文摘

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.