Laboratoire de Mathématiques Raphaël Salem

UMR 6085 CNRS - Université de Rouen Normandie

The Iwatsuka Hamiltonian is a magnetic Schrödinger operator defined in the whole plane, whose magnetic field is constant in one direction. Its spectrum is purely absolutely continuous and has a band structure. These bands are generated by a family of real functions, called the band functions. This talk deals with the inverse problem of determining the Iwatsuka Hamiltonian by knowledge of its first band function. This is based on joint work with  M. Choulli (Lorraine), P. Hislop (Kentucky) et N. Kerraoui (Marseille).