On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics
Annales de l'I.H.P. Physique théorique (1986)
- Volume: 44, Issue: 2, page 195-210
- ISSN: 0246-0211
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topSobolev, A. V., and 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 44.2 (1986): 195-210. <http://eudml.org/doc/76317>.
@article{Sobolev1986,
author = {Sobolev, A. V., Yafaev, D. R.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {quasi-classical limit; scattering cross-section; Schrödinger equation; radial potential},
language = {eng},
number = {2},
pages = {195-210},
publisher = {Gauthier-Villars},
title = {On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics},
url = {http://eudml.org/doc/76317},
volume = {44},
year = {1986},
}
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
PB - Gauthier-Villars
VL - 44
IS - 2
SP - 195
EP - 210
LA - eng
KW - quasi-classical limit; scattering cross-section; Schrödinger equation; radial potential
UR - http://eudml.org/doc/76317
ER -
References
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- [10] M.Sh. Birman, D.R. Yafaev, The asymptotics of the spectrum of the s-matrix by a potential scattering, Dokl. Acad. Nauk USSR, t. 255, 1980, p. 1085-1087 (Russian). MR613721
- [11] A.V. Sobolev, D.R. Yafaev, Phase analysis for scattering by a radial potential, Notes of Lomi seminars, t. 147, 1985, p. 155-178 (Russian). Zbl0588.47011MR821483
- [12] A.I. Baz, A.M. Perelomov, Ya.B. Zeldovitch, Scattering, reactions and decay in nonrelativistic quantum mechanics, Moscow, Nauka, 1971 (Russian).
- [13] F. Calogero, Variable phase approach to potential scattering, New York, London, Academic Press, 1967. Zbl0193.57501
- [14] M. Abromowitz, I.A. Stegun, Handbook of mathematical functions, Dover Inc., 1972.
- [15] I.C. Gohberg, M.G. Krein, Introduction à la théorie des opérateurs linéaires non auto-adjoints dans un espace hilbertien, Paris, Dunod, 1971. MR350445
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Citations in EuDML Documents
top- D. R. Yafaev, The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation
- X. P. Wang, Sections efficaces dans le problème à -corps
- X. P. Wang, High energy asymptotics for N-body scattering matrices with arbitrary channels
- Didier Robert, Hideo Tamura, Semi-classical estimates for resolvents and asymptotics for total scattering cross-sections
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