Sharp Spectral Asymptotics for Operators with Irregular Coefficients. V. Multidimensional Schroedinger operator with a strong magnetic field. Non-Full-rank case
Ivrii, Victor
arXiv, 0510328 / Harvested from arXiv
Text on arXiv
Sharp spectral asymptotics for multidimensional Schroedinger operators with the strong magnetic field are derived under rather weak smoothness conditions. I assume that magnetic intensity matrix has constant defect r>0 at each point. In comparison with version 1 of 5.5 year ago this version contains more results (we also study some degenerations), improvements and some minor corrections.
Publié le : 2005-10-16
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35P20 
@article{0510328,
     author = {Ivrii, Victor},
     title = {Sharp Spectral Asymptotics for Operators with Irregular Coefficients. V.
  Multidimensional Schroedinger operator with a strong magnetic field.
  Non-Full-rank case},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510328}
}

Ivrii, Victor. Sharp Spectral Asymptotics for Operators with Irregular Coefficients. V.
  Multidimensional Schroedinger operator with a strong magnetic field.
  Non-Full-rank case. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510328/