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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 179, Number 3, Pages 387–405
DOI: https://doi.org/10.4213/tmf8577 (Mi tmf8577) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Spectral properties of three-electron systems in the Hubbard model

S. M. Tashpulatov

Institute for Nuclear Physics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (443 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf8577
Abstract: 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.
Keywords: Hubbard model, three-electron system, quartet state, triplet state, doublet state, singlet state, essential spectrum, discrete spectrum, three-electron bound state, discrete Schrödinger operator.
Received: 22.07.2013
Revised: 02.12.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 179, Issue 3, Pages 712–728
DOI: https://doi.org/10.1007/s11232-014-0173-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. M. Tashpulatov, “Spectral properties of three-electron systems in the Hubbard model”, TMF, 179:3 (2014), 387–405; Theoret. and Math. Phys., 179:3 (2014), 712–728
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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