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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 4, Number 3, Pages 394–411 (Mi tmf4162)  
This article is cited in 14 scientific papers (total in 14 papers)

Hamiltonians of quantum statistics and the model Hamiltonian of the theory of superconductivity

D. Ya. Petrina
Full-text PDF (1667 kB) Citations (14)
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Abstract: An investigation is made of the general Hamiltonian of quantum statistics and the model Hamiltonian of the theory of superconductivity in an infinite volume. The Hamiltonians are given a rigorous mathematical definition as operators in a Hilbert space of sequences of translation-invariant functions. The general Hamiltonian is not symmetric but possesses a real spectrum; the model Hamiltonian is symmetric and its spectrum has a gap between the energy of the ground state and the excited states.
Received: 08.04.1970
English version:
Theoretical and Mathematical Physics, 1970, Volume 4, Issue 2, Pages 916–928
DOI: https://doi.org/10.1007/BF01038305
Bibliographic databases:
Language: Russian
Citation: D. Ya. Petrina, “Hamiltonians of quantum statistics and the model Hamiltonian of the theory of superconductivity”, TMF, 4:3 (1970), 394–411; Theoret. and Math. Phys., 4:2 (1970), 916–928
Citation in format AMSBIB
\Bibitem{Pet70}
\by D.~Ya.~Petrina
\paper Hamiltonians of quantum statistics and the model Hamiltonian of the theory of superconductivity
\jour TMF
\yr 1970
\vol 4
\issue 3
\pages 394--411
\mathnet{http://mi.mathnet.ru/tmf4162}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=462402}
\zmath{https://zbmath.org/?q=an:0201.58503}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 4
\issue 2
\pages 916--928
\crossref{https://doi.org/10.1007/BF01038305}
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  • https://www.mathnet.ru/eng/tmf/v4/i3/p394
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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