Phase-shift method for scattering on potentials that allow separation of variables in spheroidal coordinates
Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 2, pp. 253-259
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It is shown that angular functions arising in the separation of variables as well as the phases of corresponding radial functions represent the eigen-functions and phases of the unitary operator $SI$. The scattering amplitude and cross-sections are directly expressed in terms of these functions and phase shifts. Modified expansion for the amplitude is suggested for long-range potentials with the Coulomb behaviour at large distances.
@article{TMF_1975_22_2_a10,
author = {D. I. Abramov and I. V. Komarov},
title = {Phase-shift method for scattering on potentials that allow separation of variables in spheroidal coordinates},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {253--259},
year = {1975},
volume = {22},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a10/}
}
TY - JOUR AU - D. I. Abramov AU - I. V. Komarov TI - Phase-shift method for scattering on potentials that allow separation of variables in spheroidal coordinates JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1975 SP - 253 EP - 259 VL - 22 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a10/ LA - ru ID - TMF_1975_22_2_a10 ER -
%0 Journal Article %A D. I. Abramov %A I. V. Komarov %T Phase-shift method for scattering on potentials that allow separation of variables in spheroidal coordinates %J Teoretičeskaâ i matematičeskaâ fizika %D 1975 %P 253-259 %V 22 %N 2 %U http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a10/ %G ru %F TMF_1975_22_2_a10
D. I. Abramov; I. V. Komarov. Phase-shift method for scattering on potentials that allow separation of variables in spheroidal coordinates. Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 2, pp. 253-259. http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a10/
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