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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 97, Number 1, Pages 94–112 (Mi tmf1726)  
This article is cited in 7 scientific papers (total in 7 papers)

Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a magnetic field

S. A. Vugal'tera, G. M. Zhislinb

a Scientific-Research Physicotechnical Institute at the Nizhnii Novgorod State University
b Scientific Research Institute of Radio Physics
Full-text PDF (1685 kB) Citations (7)
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Abstract: Theorems on the localization of the essential spectrum of given $SO(2)$ symmetry for $n$-particle Hamiltonians in an external magnetic field are proved. The energy operators are studied for systems of arbitrary particles in the absence of an external potential field and for systems of identical particles in an external potential field. Some of the results were announced in earlier papers [1, 2].
Received: 11.08.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 97, Issue 1, Pages 1171–1185
DOI: https://doi.org/10.1007/BF01014810
Bibliographic databases:
Language: Russian
Citation: S. A. Vugal'ter, G. M. Zhislin, “Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a magnetic field”, TMF, 97:1 (1993), 94–112; Theoret. and Math. Phys., 97:1 (1993), 1171–1185
Citation in format AMSBIB
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\by S.~A.~Vugal'ter, G.~M.~Zhislin
\paper Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a~magnetic field
\jour TMF
\yr 1993
\vol 97
\issue 1
\pages 94--112
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1261859}
\zmath{https://zbmath.org/?q=an:0801.35096}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 97
\issue 1
\pages 1171--1185
\crossref{https://doi.org/10.1007/BF01014810}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993NJ90800007}
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    • This publication is cited in the following 7 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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    References:44
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