@article{AIHPA_1986__44_2_195_0, author = {Sobolev, A. V. and Yafaev, D. R.}, title = {On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {195--210}, publisher = {Gauthier-Villars}, volume = {44}, number = {2}, year = {1986}, mrnumber = {839284}, zbl = {0607.35070}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1986__44_2_195_0/} }
TY - JOUR AU - Sobolev, A. V. AU - Yafaev, D. R. TI - On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics JO - Annales de l'I.H.P. Physique théorique PY - 1986 SP - 195 EP - 210 VL - 44 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1986__44_2_195_0/ LA - en ID - AIHPA_1986__44_2_195_0 ER -
%0 Journal Article %A Sobolev, A. V. %A Yafaev, D. R. %T On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics %J Annales de l'I.H.P. Physique théorique %D 1986 %P 195-210 %V 44 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1986__44_2_195_0/ %G en %F AIHPA_1986__44_2_195_0
Sobolev, A. V.; Yafaev, D. R. On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Annales de l'I.H.P. Physique théorique, Tome 44 (1986) no. 2, pp. 195-210. http://archive.numdam.org/item/AIHPA_1986__44_2_195_0/
[1] Quantum mechanics, Moscow, Fizmatgiz, 1963 (Russian).
, ,[2] Potential scattering at high energies, Helv. Phys. Acta, t. 36, 1963, p. 838-858. | MR
,[3] Trace formulae and some asymptotic estimates of the resolvent kernel for the three-dimensional Schrödinger operator, Topics in Math. Physics, t. 1, 1966, p. 82-101 (Russian). | MR | Zbl
,[4] The scattering cross-section and its Born approximation at high energies, Helv. Phys. Acta, t. 53, 1980, p. 398-403. | MR
,[5] The quasi-classical limit of scattering amplitude I. Finite range potentials. Preprint. Tokyo, 1984. | Zbl
,[6] The eikonal approximation for the Schrödinger equation, Uspehi Mat. Nauk, t. 40, n° 5, 1985, p. 240 (Russian).
,[7] A time-dependent approach to the total scattering cross-section, J. Phys. A : Math. Gen., t. 12, 1979, p. 1469-1492. | MR | Zbl
, ,[8] Finite total cross-sections in nonrelativistic quantum mechanics, Commun. Math. Phys., t. 76, 1980, p. 177-209. | MR | Zbl
, ,[9] On the resonant scattering by a negative potential, Notes of Lomi seminars, t. 138, 1984, p. 184-193 (Russian). | MR | Zbl
,[10] The asymptotics of the spectrum of the s-matrix by a potential scattering, Dokl. Acad. Nauk USSR, t. 255, 1980, p. 1085-1087 (Russian). | MR
, ,[11] Phase analysis for scattering by a radial potential, Notes of Lomi seminars, t. 147, 1985, p. 155-178 (Russian). | MR | Zbl
, ,[12] Scattering, reactions and decay in nonrelativistic quantum mechanics, Moscow, Nauka, 1971 (Russian).
, , ,[13] Variable phase approach to potential scattering, New York, London, Academic Press, 1967. | Zbl
,[14] Handbook of mathematical functions, Dover Inc., 1972.
, ,[15] Introduction à la théorie des opérateurs linéaires non auto-adjoints dans un espace hilbertien, Paris, Dunod, 1971. | MR
, ,[16] On the theory of wave operators and scattering operators, Dokl. Acad. Nauk. USSR, t. 144, 1962, p. 475-478 (Russian). | MR | Zbl
, ,