Characterization of the essential spectrum of the Schrödinger operator with a magnetic field

Bernard Helffer; Abderemane Mohamed

Journées équations aux dérivées partielles (1987)

  • page 1-6
  • ISSN: 0752-0360

How to cite

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Helffer, Bernard, and Mohamed, Abderemane. "Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique." Journées équations aux dérivées partielles (1987): 1-6. <http://eudml.org/doc/93161>.

@article{Helffer1987,
author = {Helffer, Bernard, Mohamed, Abderemane},
journal = {Journées équations aux dérivées partielles},
keywords = {Schrödinger operator; magnetic field; compact resolvent; essential spectrum; electric and magnetic potentials},
language = {fre},
pages = {1-6},
publisher = {Ecole polytechnique},
title = {Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique},
url = {http://eudml.org/doc/93161},
year = {1987},
}

TY - JOUR
AU - Helffer, Bernard
AU - Mohamed, Abderemane
TI - Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique
JO - Journées équations aux dérivées partielles
PY - 1987
PB - Ecole polytechnique
SP - 1
EP - 6
LA - fre
KW - Schrödinger operator; magnetic field; compact resolvent; essential spectrum; electric and magnetic potentials
UR - http://eudml.org/doc/93161
ER -

References

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  1. [AV.—HE.—SI.] J. Avron, I. Herbst and B. Simon; Duke Math. J. 45, (1978), p.847-883. Zbl0399.35029MR80k:35054
  2. [DUF.] A. Dufresnoy; Duke Math. J. 53, (3), (1983), p.729-734. Zbl0532.35021MR84k:78005
  3. [HE.—NO.] B. Helffer et J. Nourrigat; Progress in Math. vol.58, Birkhäuser, Boston, (1985). Zbl0568.35003MR88i:35029
  4. [HOR.] L. Hörmander; Comm. Pure Appl. Math. 32, (3), (1979), p.359-443. Zbl0388.47032
  5. [IWA.] A. Iwatsuka; 1. J. Math. Kyoto Univ. 23,(3),(1983), p.475-480 Zbl0564.35021MR84k:35103
  6. A. Iwatsuka 2. J. Math. Kyoto Univ. 26,(3),(1986), p.357-374 Zbl0637.35026MR87j:35287
  7. [KOH.] J. J. Kohn; C.I..M.E. (1977),p.91-149 
  8. [MOH.] A. Mohamed; à paraître. 
  9. [PER.] Y. Persson; Math. Scand. 8 (1960), p.143-153 Zbl0145.14901

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