Asymptotic behavior of the limiting phase shifts in the case of scattering by a potential without spherical symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 1, pp. 44-53
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Scattering by a potential which decreases at large distances faster than $|x|^{-1}$ is considered. The spectrum of the $S$ matrix at fixed energy is studied. The asymptotic behavior of the eigenvalues at large values of the serial number is obtained. Similar expressions are obtained when allowance is made for an electromagnetic field. The scheme is also applied to the Dirac equation.
@article{TMF_1982_51_1_a4,
author = {M. Sh. Birman and D. R. Yafaev},
title = {Asymptotic behavior of the limiting phase shifts in the case of scattering by a potential without spherical symmetry},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {44--53},
year = {1982},
volume = {51},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_1_a4/}
}
TY - JOUR AU - M. Sh. Birman AU - D. R. Yafaev TI - Asymptotic behavior of the limiting phase shifts in the case of scattering by a potential without spherical symmetry JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1982 SP - 44 EP - 53 VL - 51 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_1982_51_1_a4/ LA - ru ID - TMF_1982_51_1_a4 ER -
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M. Sh. Birman; D. R. Yafaev. Asymptotic behavior of the limiting phase shifts in the case of scattering by a potential without spherical symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 1, pp. 44-53. http://geodesic.mathdoc.fr/item/TMF_1982_51_1_a4/
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