Structure of Essential Spectrum and Discrete Spectra of the Energy Operator of Five-Electron Systems in the Hubbard Model. Third and Fourth Doublet States
Structure of Essential Spectrum and Discrete Spectra of the Energy Operator of Five-Electron Systems in the Hubbard Model. Third and Fourth Doublet States作者机构：Institute of Nuclear Physics of Academy of Science of Republic of Uzbekistan Tashkent Uzbekistan
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2020年第8卷第12期
页 面：2886-2918页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Essential Spectrum Discrete Spectrum Five-Electron System Bound State Anti-Bound State Hubbard Model Doublet State Sextet State Quartet State
摘 要：We consider a five-electron system in the Hubbard model with a coupling between nearest-neighbors. The structure of essential spectrum and discrete spectrum of the systems in the third and fourth doublet states in a v-dimensional lattice is investigated. We prove that the essential spectrum of the system in a third doublet state consists is the union of at most four segments, and discrete spectrum of the system is empty. We show that the essential spectrum of the system in a fourth doublet state consists of the union of at most seven segments, and discrete spectrum of the system consists of no more than one point.
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