M. Laguel et A. Smail, ON THE EFFECTIVE HAMILTONIAN ASSOCIATED TO THE MAGNETIC SCHRODINGER OPERATOR WITH PERIODIC POTENTIAL IN DIMENSION-2, Consensus development conference summaries, 316(7), 1993, pp. 685-689
We consider the Schrodinger operator with a periodic potential and a w
eak and constant magnetic field and we prove that the symbol associate
d to the effective hamiltonian, in the case of a simple band, is an an
alytic classical formal symbol.