Geodesic
Two-dimensional hydrogen atom. Reciprocal expansions of the polar and parabolic bases of the continuous spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 222-233

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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. 
@article{TMF_1986_66_2_a6,
     author = {L. S. Davtyan and G. S. Pogosyan and A. N. Sisakyan and V. M. Ter-Antonyan},
     title = {Two-dimensional hydrogen atom. {Reciprocal} expansions of the polar and parabolic bases of the continuous spectrum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {222--233},
     publisher = {mathdoc},
     volume = {66},
     number = {2},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a6/}
}
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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. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 222-233. http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a6/