On quantum system with time-periodic magnetic fields (Spectral and Scattering Theory and Related Topics)

Abstract

Spectrum and scattering theory for the quantum system with timeperiodic magnetic field is very important problem not only mathematically but also physically. Nevertheless as for such problems, only few models were considered and many open problems are still remaining. Moreover, in such model, there are many interests in the advanced studies such like nonlinear analysis, resonances and so on. Since the time-periodic magnetic field has the expected to developments in some research fields, we summarize the obtained result and introduce some advances studies.