New formulae for the Aharonov-Bohm wave operators

Serge Richard (1)

1 ICJ - Institut Camille Jordan

It is proved that the wave operators corresponding to Schr¨odinger operators with Aharonov- Bohm type magnetic fields can be rewritten in terms of explicit functions of the generator of dilations and of the Laplacian.

Domaines: Physique mathématique [math-ph]

Serge Richard. New formulae for the Aharonov-Bohm wave operators. Spectral and Scattering Theory for Quantum Magnetic Systems, 2008, France. pp.159 - 168. ⟨hal-00341438⟩