Shadow scattering by magnetic fields in two dimensions

Hideo Tamura

Annales de l'I.H.P. Physique théorique (1995)

  • Volume: 63, Issue: 3, page 253-276
  • ISSN: 0246-0211

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Tamura, Hideo. "Shadow scattering by magnetic fields in two dimensions." Annales de l'I.H.P. Physique théorique 63.3 (1995): 253-276. <http://eudml.org/doc/76695>.

@article{Tamura1995,
author = {Tamura, Hideo},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {semi-classical asymptotic behavior of total scattering cross sections; Schrödinger operators with magnetic fields compacty supported; potential scattering theory},
language = {eng},
number = {3},
pages = {253-276},
publisher = {Gauthier-Villars},
title = {Shadow scattering by magnetic fields in two dimensions},
url = {http://eudml.org/doc/76695},
volume = {63},
year = {1995},
}

TY - JOUR
AU - Tamura, Hideo
TI - Shadow scattering by magnetic fields in two dimensions
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 63
IS - 3
SP - 253
EP - 276
LA - eng
KW - semi-classical asymptotic behavior of total scattering cross sections; Schrödinger operators with magnetic fields compacty supported; potential scattering theory
UR - http://eudml.org/doc/76695
ER -

References

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  1. [1] A. Boutet De Monvel and R. Purice, Limiting absorption principle for Schrödinger Hamiltonians with magnetic fields, Commun. Partial Differ. Eqs., Vol. 19, 1994, pp. 89-117. Zbl0798.35132MR1256999
  2. [2] V. Enss and B. Simon, Finite total cross sections in nonrelativistic quantum mechanics, Commun. Math. Phys., Vol. 76, 1980, pp. 177-209. Zbl0471.35065MR587510
  3. [3] C. Gérard and A. Martinez, Principe d'absorption limite pour des opérateurs de Schrödinger à longue portée, C. R. Acad. Sci. Paris, Vol. 306, 1988, pp. 121-123. Zbl0672.35013MR929103
  4. [4] T. Ikebe and Y. Saito, Limiting absorption method and absolute continuity for the Schrödinger operators, J. Math. Kyoto Univ., Vol. 7, 1972, pp. 513-542. Zbl0257.35022MR312066
  5. [5] H. Isozaki and H. Kitada, A remark on the microlocal resolvent estimates for two-body Schrödinger operators, Publ. RIMS Kyoto Univ., Vol. 21, 1985, pp. 889-910. Zbl0611.35090MR817149
  6. [6] A. Iwatsuka, Spectral representation for Schrödinger operators with magnetic vector potentials, J. Math. Kyoto Univ., Vol. 22, 1982, pp. 223-242. Zbl0521.35014MR666972
  7. [7] S.T. Kuroda, On the essential spectrum of Schrödinger operators with vector potentials, Sci. Papers College Gen. Ed. Univ. Tokyo, Vol. 23, 1973, pp. 87-91. Zbl0279.35022MR333427
  8. [8] M. Loss and B. Thaller, Scattering of particles by long-range magnetic fields, Ann. of Phys., Vol. 176, 1987, pp. 159-180. Zbl0646.35074MR893482
  9. [9] P.A. Perry, Scattering Theory by the Enss Method, Mathematical Reports 1, Harwood Academic, 1983. Zbl0529.35004MR752694
  10. [10] D. Robert, Autour de l'Approximation Semi-classique, Birkhäuser, 1987. Zbl0621.35001MR897108
  11. [11] D. Robert and H. Tamura, Semi-classical estimates for resolvents and asymptotics for total scattering cross-sections, Ann. Inst. Henri Poincaré, Vol. 46, 1987, pp. 415-442. Zbl0648.35066
  12. [12] D. Robert and H. Tamura, Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits, Ann. Inst. Fourier Grenoble, Vol. 39, 1989, pp. 155-192. Zbl0659.35026MR1011982
  13. [13] S.N.M. Ruijsenaars, The Aharonov-Bohm effect and scattering theory, Ann. of Phys., Vol. 146, 1983, pp. 1-34. Zbl0554.47003MR701261
  14. [14] D.R. Yafaev, Mathematical Scattering Theory, General Theory, Translations of Mathematical Monographs, Vol. 105, A.M.S., 1992. Zbl0761.47001MR1180965
  15. [15] K. Yajima, The quasi-classical limit of scattering amplitude - finite range potentials -, Lect. Notes in Math., 1159, Springer, 1985. Zbl0591.35079MR824991

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