Semiclassical scattering by the Coulomb potential

Armin Kargol

Annales de l'I.H.P. Physique théorique (1999)

  • Volume: 71, Issue: 3, page 339-357
  • ISSN: 0246-0211

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Kargol, Armin. "Semiclassical scattering by the Coulomb potential." Annales de l'I.H.P. Physique théorique 71.3 (1999): 339-357. <http://eudml.org/doc/76838>.

@article{Kargol1999,
author = {Kargol, Armin},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Gaussian probability density; approximate semiclassical time evolution; classical Møller transformations},
language = {eng},
number = {3},
pages = {339-357},
publisher = {Gauthier-Villars},
title = {Semiclassical scattering by the Coulomb potential},
url = {http://eudml.org/doc/76838},
volume = {71},
year = {1999},
}

TY - JOUR
AU - Kargol, Armin
TI - Semiclassical scattering by the Coulomb potential
JO - Annales de l'I.H.P. Physique théorique
PY - 1999
PB - Gauthier-Villars
VL - 71
IS - 3
SP - 339
EP - 357
LA - eng
KW - Gaussian probability density; approximate semiclassical time evolution; classical Møller transformations
UR - http://eudml.org/doc/76838
ER -

References

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  2. [2] J. Dereziński and C. Gerard, Long-range scattering in the position representation, Preprint. Zbl0886.34072MR1459635
  3. [3] J. Dereziński and C. Gerard, Asymptotic Completeness of N-Particle Systems, Texts and Monographs in Physics, Springer, 1997. 
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  11. [11] H. Isozaki and H. Kitada, Modified wave operators with time-independent modifiers, J. Fac. Sci. Univ. Tokyo, Sec. 1A32 (1985) 77-104. Zbl0582.35036MR783182
  12. [12] A. Kargol, An infinite time limit for the time-dependent Born-Oppenheimer approximation, Comm. Math. Phys.166 (1994) 129-148. Zbl0821.47051MR1309544
  13. [13] A. Kargol, The Born-Oppenheimer approximation to the wave operators, Comm. Theoret. Phys., to appear. Zbl0821.47051MR1720505
  14. [14] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. III, Academic Press, New York, 1979. Zbl0405.47007
  15. [15] S.L. Robinson, The semiclassical limit of quantum dynamics II. Scattering theory, Ann. Inst. H. Poincaré48 (4) (1988) 281-296. Zbl0666.35071MR969167
  16. [16] B. Simon, Wave operators for classical particle scattering, Comm. Math. Phys.23 (1971) 37-48. Zbl0238.70012MR294899
  17. [17] D.R. Yafaev, Wave operators for the Schrödinger equation, Theor. Math. Phys.45 (1980) 992-998. Zbl0467.35076MR604521
  18. [18] K. Yajima, The quasi-classical limit of quantum scattering theory, Comm. Math. Phys.69 (1979) 101-129. Zbl0425.35076
  19. [19] K. Yajima, The quasi-classical limit of quantum scattering theory II. Long-range scattering, Duke Math. J.48 (4) (1981) 1-22. Zbl0454.35069

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