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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 93, Number 1, Pages 94–106 (Mi tmf5740)  

Absence of discrete spectrum of the Schrödinger operators of positive molecular ions

S. A. Vugal'ter

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
References:
Abstract: For multiatomic positive molecular ions with $N$ electrons and charges $Z_i$ of the nuclei it is shown that there are no bound states for $Z_i>\gamma N$ for some $\gamma$. It is also shown that the discrete spectrum of the Schrödinger operator of a molecular ion is empty if for at least some of the nuclei the condition $Z_i\gg N$ is satisfied, whereas the charges of the other nuclei can be small.
Received: 09.03.1992
English version:
Theoretical and Mathematical Physics, 1992, Volume 93, Issue 1, Pages 1142–1150
DOI: https://doi.org/10.1007/BF01016472
Bibliographic databases:
Language: Russian
Citation: S. A. Vugal'ter, “Absence of discrete spectrum of the Schrödinger operators of positive molecular ions”, TMF, 93:1 (1992), 94–106; Theoret. and Math. Phys., 93:1 (1992), 1142–1150
Citation in format AMSBIB
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\by S.~A.~Vugal'ter
\paper Absence of discrete spectrum of the Schr\"odinger operators of positive molecular ions
\jour TMF
\yr 1992
\vol 93
\issue 1
\pages 94--106
\mathnet{http://mi.mathnet.ru/tmf5740}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1226212}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 93
\issue 1
\pages 1142--1150
\crossref{https://doi.org/10.1007/BF01016472}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992LF86000008}
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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