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Sbornik: Mathematics, 2014, Volume 205, Issue 12, Pages 1761–1774
DOI: https://doi.org/10.1070/SM2014v205n12ABEH004438 (Mi sm8305) 		 
A description of the location and structure of the essential spectrum of a model operator in a subspace of a Fock space

G. R. Yodgorova, F. Ismailb, Z. I. Muminovc

a Navoi State Pedagogical Institute
b Universiti Putra Malaysia
c Malaysia – Japan International Institute of Technology, Kuala Lumpur
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DOI: https://doi.org/10.1070/SM2014v205n12ABEH004438
Abstract: We consider a certain model operator acting in a subspace of a fermionic Fock space. We obtain an analogue of Faddeev's equation. We describe the location of the essential spectrum of the operator under consideration and show that the essential spectrum consists of the union of at most four segments.
Bibliography: 19 titles.
Keywords: Hamiltonian with a nonconserved bounded number of particles, creation–annihilation operators, essential spectrum, positive operator, Faddeev's equation, compact operator.
Funding agency Grant number
Academy of Sciences of the Republic of Uzbekistan ФА-Ф1-Ф045 АН РУз
Universiti Putra Malaysia 5524430
Received: 19.11.2013 and 25.09.2014
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 12, Pages 85–98
DOI: https://doi.org/10.4213/sm8305
Bibliographic databases:
Document Type: Article
UDC: 517.984
MSC: Primary 35P20; Secondary 47N50, 81Q10, 81V70
Language: English
Original paper language: Russian
Citation: G. R. Yodgorov, F. Ismail, Z. I. Muminov, “A description of the location and structure of the essential spectrum of a model operator in a subspace of a Fock space”, Mat. Sb., 205:12 (2014), 85–98; Sb. Math., 205:12 (2014), 1761–1774
Citation in format AMSBIB
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    Abstract page:475
    Russian version PDF:177
    English version PDF:9
    References:75
    First page:34
     
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