Abstract:
Expressions are obtained for recovering the central interaction potential of charged
particles in the case when the interaction leads to multiplication of the S matrix
defined in the complex plane of the Coulomb coupling constant by a rational S function.
A study is made of the influence of the sign of the potential on the position of the poles
of the S function and of the behavior of the phase shift.
Citation:
M. N. Popushoi, “Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy”, TMF, 63:3 (1985), 340–346; Theoret. and Math. Phys., 63:3 (1985), 550–554
\Bibitem{Pop85}
\by M.~N.~Popushoi
\paper Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy
\jour TMF
\yr 1985
\vol 63
\issue 3
\pages 340--346
\mathnet{http://mi.mathnet.ru/tmf4838}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=805516}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 63
\issue 3
\pages 550--554
\crossref{https://doi.org/10.1007/BF01017500}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AWZ6400003}
Linking options:
https://www.mathnet.ru/eng/tmf4838
https://www.mathnet.ru/eng/tmf/v63/i3/p340
This publication is cited in the following 2 articles:
M. N. Popushoi, “On the inverse problem for the scattering theory of charged particles when there is a linear relationship between the energy, the square of the orbital angular momentum, and the Coulomb coupling constant”, Theoret. and Math. Phys., 69:3 (1986), 1272–1278
I. V. Poplavskii, “Generalized Darboux–Crum–Krein transformations”, Theoret. and Math. Phys., 69:3 (1986), 1278–1282
Citation in format AMSBIB
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