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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 5, Number 1, Pages 66–72 (Mi tmf4186)  
Application of commutation relations to determine the eigenvalues of operators

A. A. Zaitsev
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Abstract: A method is proposed for constructing operators that change the eigenvalues of the generators of a given representation of a Lie algebra, i.e., if these operators are applied to the eigenfunctions of a chosen generator $F_i$ they lead to different eigenfunctions of the same generator. Equations are obtained for determining the changes of the eigenvalues of the generators. The results obtained are applied to operators in the second-quantization representation.
Received: 09.01.1970
English version:
Theoretical and Mathematical Physics, 1970, Volume 5, Issue 1, Pages 984–989
DOI: https://doi.org/10.1007/BF01035980
Bibliographic databases:
Language: Russian
Citation: A. A. Zaitsev, “Application of commutation relations to determine the eigenvalues of operators”, TMF, 5:1 (1970), 66–72; Theoret. and Math. Phys., 5:1 (1970), 984–989
Citation in format AMSBIB
\Bibitem{Zai70}
\by A.~A.~Zaitsev
\paper Application of commutation relations to determine the eigenvalues of operators
\jour TMF
\yr 1970
\vol 5
\issue 1
\pages 66--72
\mathnet{http://mi.mathnet.ru/tmf4186}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=462352}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 5
\issue 1
\pages 984--989
\crossref{https://doi.org/10.1007/BF01035980}
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