@article{AIHPA_1988__48_4_281_0,
author = {Robinson, S. L.},
title = {The semiclassical limit of quantum dynamics. {II} : scattering theory},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {281--296},
year = {1988},
publisher = {Gauthier-Villars},
volume = {48},
number = {4},
mrnumber = {969167},
zbl = {0666.35071},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1988__48_4_281_0/}
}
TY - JOUR AU - Robinson, S. L. TI - The semiclassical limit of quantum dynamics. II : scattering theory JO - Annales de l'I.H.P. Physique théorique PY - 1988 SP - 281 EP - 296 VL - 48 IS - 4 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1988__48_4_281_0/ LA - en ID - AIHPA_1988__48_4_281_0 ER -
Robinson, S. L. The semiclassical limit of quantum dynamics. II : scattering theory. Annales de l'I.H.P. Physique théorique, Tome 48 (1988) no. 4, pp. 281-296. https://www.numdam.org/item/AIHPA_1988__48_4_281_0/
[B] , The Elements of Real Analysis. New York-Toronto: Wiley, 1976. | Zbl | MR
[ES] and , Total cross sections in nonrelativistic scattering theory, in Quantum Mechanics in Mathematics, Chemistry and Physics, ed. My K. E. Gustafson and W. P. Reinhardt. Plenum, New York, London, 1981.
[Ha1] , Semiclassical quantum mechanics I: the h → 0 limit for coherent states. Commun. Math. Phys., t. 71, 1980, p. 77-93. | MR
[Ha2] , Semiclassical quantum mechanics III: the large order asymptotics and more general states. Ann. Phys., t. 135, 1981, p. 58-70. | MR
[Ha3] , Semiclassical quantum mechanics IV: large order asymptotics and more general states in more than one dimension. Ann. Inst. Henri Poincaré, t. 42, n° 4, 1985, p. 363-374. | Zbl | MR | Numdam
[Hu] , The S-matrix in classical mechanics. Commun. Math. Phys., t. 8, 1968, p. 282-299. | Zbl
[LS] and , Advanced Calculus. Reading, Mass., Adison-Wesley, 1968. | Zbl | MR
[R] , The semiclassical limit of quantum dynamics I: time evolution. J. Math. Phys., t. 29, n° 2, 1988, p. 412-419. | Zbl | MR
[RS1] and , Methods of Modern Mathematical Physics, vol. II, Fourier Analysis, Self-Adjointness. Academic Press, New York, London, 1975. | Zbl
[RS2] and , Methods of Modern Mathematical Physics, vol. III, Scattering Theory. Academic Press, New York, London, 1979. | Zbl | MR
[Sie] , Vorlesungen über Himmelsmechanik. Springer Verlag, Berlin, Göttingen, Heidelberg, 1956. | Zbl | MR
[Sim] , Wave operators for classical particle scattering. Commun. Math. Phys., t. 23, 1971, p. 37-48. | Zbl | MR
[SY] and , On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Preprint, Leningrad, 1985.
[Y1] , The quasi-classical limit of quantum scattering theory. Commun. Math. Phys., t. 69, 1979, p. 101-129. | Zbl
[Y2] , The quasi-classical limit of quantum scattering theory II. Long-range scattering. Duke Math. J., t. 48, n° 1, 1981, p. 1-22. | Zbl
[Y3] , The quasi-classical limit of scattering amplitude I. Finite range potentials. Preprint, Tokyo, 1984.





