@article{AIHPA_1986__44_4_397_0, author = {Yafaev, D. R.}, title = {The {Eikonal} approximation and the asymptotics of the total scattering cross-section for the {Schr\"odinger} equation}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {397--425}, publisher = {Gauthier-Villars}, volume = {44}, number = {4}, year = {1986}, mrnumber = {850898}, zbl = {0608.35054}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1986__44_4_397_0/} }
TY - JOUR AU - Yafaev, D. R. TI - The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation JO - Annales de l'I.H.P. Physique théorique PY - 1986 SP - 397 EP - 425 VL - 44 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1986__44_4_397_0/ LA - en ID - AIHPA_1986__44_4_397_0 ER -
%0 Journal Article %A Yafaev, D. R. %T The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation %J Annales de l'I.H.P. Physique théorique %D 1986 %P 397-425 %V 44 %N 4 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1986__44_4_397_0/ %G en %F AIHPA_1986__44_4_397_0
Yafaev, D. R. The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation. Annales de l'I.H.P. Physique théorique, Tome 44 (1986) no. 4, pp. 397-425. http://archive.numdam.org/item/AIHPA_1986__44_4_397_0/
[1] On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics, Annales de l'I. H. P., t. 44, n° 2, 1986, p. 195-210. | Numdam | MR | Zbl
, ,[2] The quasi-classical limit of scattering amplitude. I. Finite range potentials, Preprint, Tokyo, 1984.
,[3] The eikonal approximation for the Schrödinger equation, Report at the Petrovskii Conference, Moscow, Uspehi Mat. Nauk, t. 40, n° 5, 1985, p. 240 (Russian).
,[4] The quasi-classical limit of scattering amplitude. L2-approach for short range potentials, Preprint, Wien, 1984.
,[5] The asymptotics of the spectrum of S-matrix by potential scattering, Soviet Math. Dokl., t. 255, n° 5, 1980, p. 1085-1087 (Russian). | MR
, ,[6] The quantum mechanics, Moscow, Fizmatgiz, 1963 (Russian).
, ,[7] Phase analysis in the problem of scattering by a radial potential, Notes of LOMI Sci. Seminars, t. 147, 1985, p. 155-178 (Russian). | MR | Zbl
, ,[8] A time-dependent approach to the total scattering cross-section. J. Phys. A : Math. Gen., t. 12, n° 4, 1979, p. 1469-1492. | MR | Zbl
, ,[9] Finite total cross sections in nonrelativistic quantum mechanics, Commun. Math. Phys., t. 76, 1980, p. 177-209. | MR | Zbl
, ,[10] On the resonant scattering by a negative potential, Notes of LOMI Sci. Seminars, t. 138, 1984, p. 184-193 (Russian). | MR | Zbl
,[11] Methods of modern mathematical physics. III. Scattering theory, New York, Academic Press, 1979. | MR | Zbl
, ,[12] On the theory of multichannel scattering in a pair of spaces, Teor. Mat. Fiz., t. 37, n° 1, 1978, p. 48-57 (Russian). | MR
,[13] Absence of singular spectrum for certain self-adjoint operators, Commun. Math. Phys., t. 78, 1981, p. 391-400. | MR | Zbl
,[14] Spectral analysis of N-body Schrödinger operators, Ann. Math., t. 114, 1981, p. 519-567. | MR | Zbl
, , ,[15] Asymptotic methods in equations of mathematical physics, Moscow, MGU, 1982 (Russian). | MR
,[16] Semi-classical bounds for resolvents of Schrödinger operators and asymptotics for scattering phases, Comm. in PDE, t. 9 (10), 1984, p. 1017-1058. | MR | Zbl
, ,