@article{AIHPA_1999__71_3_339_0,
author = {Kargol, Armin},
title = {Semiclassical scattering by the {Coulomb} potential},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {339--357},
year = {1999},
publisher = {Gauthier-Villars},
volume = {71},
number = {3},
mrnumber = {1714348},
zbl = {0969.81058},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1999__71_3_339_0/}
}
Kargol, Armin. Semiclassical scattering by the Coulomb potential. Annales de l'I.H.P. Physique théorique, Tome 71 (1999) no. 3, pp. 339-357. https://www.numdam.org/item/AIHPA_1999__71_3_339_0/
[1] and , On some oscillatory integral transforms in L2(Rn), Japanese J. Math. 4 (1978) 233-261. | MR
[2] and , Long-range scattering in the position representation, Preprint. | MR
[3] and , Asymptotic Completeness of N-Particle Systems, Texts and Monographs in Physics, Springer, 1997.
[4] , Asymptotic convergence and the Coulomb interaction, J. Math. Phys. 5 (6) (1964) 729-738. | MR
[5] , A construction of the fundamental solution for Schrödinger equation, J. d'Analyse Math. 35 (1979) 41-96. | Zbl | MR
[6] , Semiclassical quantum mechanics I. ħ → 0 limit for coherent states, Comm. Math. Phys. 71 (1980) 77-93. | MR
[7] , A time-dependent Born-Oppenheimer approximation, Comm. Math. Phys. 77 (1980) 1-19. | Zbl | MR
[8] , Semiclassical quantum mechanics IV. Large order asymptotics and more general states in more than one dimension, Ann. Inst. H. Poincaré 42 (1985) 363-374. | Zbl | MR | Numdam
[9] , Classical scattering with long range forces, Comm. Math. Phys. 35 (1974) 193-214. | Zbl | MR
[10] , The existence of wave operators in scattering theory, Math. Z. 149 (1976) 69-91. | Zbl | MR
[11] and , Modified wave operators with time-independent modifiers, J. Fac. Sci. Univ. Tokyo, Sec. 1A 32 (1985) 77-104. | Zbl | MR
[12] , An infinite time limit for the time-dependent Born-Oppenheimer approximation, Comm. Math. Phys. 166 (1994) 129-148. | Zbl | MR
[13] , The Born-Oppenheimer approximation to the wave operators, Comm. Theoret. Phys., to appear. | MR
[14] and , Methods of Modern Mathematical Physics, Vol. III, Academic Press, New York, 1979. | Zbl
[15] , The semiclassical limit of quantum dynamics II. Scattering theory, Ann. Inst. H. Poincaré 48 (4) (1988) 281-296. | Zbl | MR | Numdam
[16] , Wave operators for classical particle scattering, Comm. Math. Phys. 23 (1971) 37-48. | Zbl | MR
[17] , Wave operators for the Schrödinger equation, Theor. Math. Phys. 45 (1980) 992-998. | Zbl | MR
[18] , The quasi-classical limit of quantum scattering theory, Comm. Math. Phys. 69 (1979) 101-129. | Zbl
[19] , The quasi-classical limit of quantum scattering theory II. Long-range scattering, Duke Math. J. 48 (4) (1981) 1-22. | Zbl





