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 TMF, 1986, Volume 66, Number 2, Pages 222–233 (Mi tmf4617)

Two-dimensional hydrogen atom. Reciprocal expansions of the polar and parabolic bases of the continuous spectrum

L. S. Davtyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan

Abstract: An expansion of the parabolic basis of the two-dimensional hydrogen atom with respect to the polar basis and its inverse expansion are found in the region of the continuous spectrum. The connection between these expansions and the expansions corresponding to them in the discrete spectrum is traced. The group-theoretical significance of the two-dimensional Coulomb phase shift is established.

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English version:
Theoretical and Mathematical Physics, 1986, 66:2, 146–153

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Citation: L. S. Davtyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan, “Two-dimensional hydrogen atom. Reciprocal expansions of the polar and parabolic bases of the continuous spectrum”, TMF, 66:2 (1986), 222–233; Theoret. and Math. Phys., 66:2 (1986), 146–153

Citation in format AMSBIB
\Bibitem{DavPogSis86} \by L.~S.~Davtyan, G.~S.~Pogosyan, A.~N.~Sisakyan, V.~M.~Ter-Antonyan \paper Two-dimensional hydrogen atom. Reciprocal expansions of the polar and parabolic bases of the continuous spectrum \jour TMF \yr 1986 \vol 66 \issue 2 \pages 222--233 \mathnet{http://mi.mathnet.ru/tmf4617} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=838276} \transl \jour Theoret. and Math. Phys. \yr 1986 \vol 66 \issue 2 \pages 146--153 \crossref{https://doi.org/10.1007/BF01017766} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986E417400007} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. L. S. Davtyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan, “Transformations between parabolic bases of the two-dimensional hydrogen atom in the continuous spectrum”, Theoret. and Math. Phys., 74:2 (1988), 157–161
2. V. V. Pupyshev, “Two-dimensional Coulomb scattering of a quantum particle: Wave functions and Green's functions”, Theoret. and Math. Phys., 186:2 (2016), 213–230
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