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TMF, 1977, Volume 31, Number 1, Pages 62–74 (Mi tmf2937)  

Variational principles and the virial theorem in quantum scattering theory

M. I. Lomonosov, A. E. Oganyan, K. P. Cherkasova


Abstract: Problems concerning some functionals of quantum scattering theory in three-dimensional space are studied. Variation principles for these functionals are formulated. The virial theorem for the continuous spectrum is derived with the aid of one of these variation principles. This theorem makes it possible to obtain a new representation for the spectral shift function. On the basis of this representation the new expression for the second group integral is found.

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English version:
Theoretical and Mathematical Physics, 1977, 31:1, 319–328

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Received: 24.06.1976

Citation: M. I. Lomonosov, A. E. Oganyan, K. P. Cherkasova, “Variational principles and the virial theorem in quantum scattering theory”, TMF, 31:1 (1977), 62–74; Theoret. and Math. Phys., 31:1 (1977), 319–328

Citation in format AMSBIB
\Bibitem{LomOgaChe77}
\by M.~I.~Lomonosov, A.~E.~Oganyan, K.~P.~Cherkasova
\paper Variational principles and the virial theorem in quantum scattering theory
\jour TMF
\yr 1977
\vol 31
\issue 1
\pages 62--74
\mathnet{http://mi.mathnet.ru/tmf2937}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=438963}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 31
\issue 1
\pages 319--328
\crossref{https://doi.org/10.1007/BF01041238}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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