Scattering amplitude for the Schrödinger equation with strong magnetic field

Laurent Michel[1]

  • [1] LAGA, Université Paris 13, Villetaneuse

Journées Équations aux dérivées partielles (2005)

  • page 1-17
  • ISSN: 0752-0360

Abstract

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In this note, we study the scattering amplitude for the Schrödinger equation with constant magnetic field. We consider the case where the strengh of the magnetic field goes to infinity and we discuss the competition between the magnetic and the electrostatic effects.

How to cite

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Michel, Laurent. "Scattering amplitude for the Schrödinger equation with strong magnetic field." Journées Équations aux dérivées partielles (2005): 1-17. <http://eudml.org/doc/10614>.

@article{Michel2005,
abstract = {In this note, we study the scattering amplitude for the Schrödinger equation with constant magnetic field. We consider the case where the strengh of the magnetic field goes to infinity and we discuss the competition between the magnetic and the electrostatic effects.},
affiliation = {LAGA, Université Paris 13, Villetaneuse},
author = {Michel, Laurent},
journal = {Journées Équations aux dérivées partielles},
keywords = {Scattering theory; Schrödinger equation; Magnetic fields; magnetic fields; scattering theory},
language = {eng},
month = {6},
pages = {1-17},
publisher = {Groupement de recherche 2434 du CNRS},
title = {Scattering amplitude for the Schrödinger equation with strong magnetic field},
url = {http://eudml.org/doc/10614},
year = {2005},
}

TY - JOUR
AU - Michel, Laurent
TI - Scattering amplitude for the Schrödinger equation with strong magnetic field
JO - Journées Équations aux dérivées partielles
DA - 2005/6//
PB - Groupement de recherche 2434 du CNRS
SP - 1
EP - 17
AB - In this note, we study the scattering amplitude for the Schrödinger equation with constant magnetic field. We consider the case where the strengh of the magnetic field goes to infinity and we discuss the competition between the magnetic and the electrostatic effects.
LA - eng
KW - Scattering theory; Schrödinger equation; Magnetic fields; magnetic fields; scattering theory
UR - http://eudml.org/doc/10614
ER -

References

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  13. G. D. Raikov, M. Dimassi, Spectral asymptotics for quantum Hamiltonians in strong magnetic fields, Cubo Mat. Educ. 3 (2001), 317-391 Zbl1067.81536MR1961594
  14. M. Reed, B. Simon, Methods of modern mathematical physics. IV., (1978), Academic Press, New York Zbl0401.47001MR751959
  15. D. Robert, H. Tamura, Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits, Ann. Inst. Fourier (Grenoble) 39 (1989), 155-192 Zbl0659.35026MR1011982
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