New formulae for the Aharonov-Bohm wave operators

Abstract

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

11 pages

References in corpus (5)

• Levinson's theorem for Schroedinger operators with point interaction: a topological approach
• On the structure of the wave operators in one dimensional potential scattering
• The topological meaning of Levinson's theorem, half-bound states included
• Topological boundary maps in physics: General theory and applications
• Levinson theorem for Aharonov-Bohm scattering in two dimensions