Propagation of singularities for perturbed harmonic oscillators and Landau Hamiltonian

Hamiltonians in Magnetic Fields

02 October 14:00 - 15:00

Shu Nakamura - University of Tokyo

I will discuss the recurrence (or non-recurrence) of singularities of harmonic oscillators and Landau Hamiltonians with metric perturbations of short-range type. I will also discuss the microlocal smoothing and microlocal singularities of solutions to more general Schr\"odinger operators, which is related to the smoothness of the kernel of the evolution operators. This talk is partly based on joint work with Shikuan Mao.
Rafael D. Benguria
Pontificia Universidad Católica de Chile
Arne Jensen
Aalborg University
Georgi Raikov
Pontificia Universidad Católica de Chile
Grigori Rozenblioum
Chalmers/University of Gothenburg
Jan Philip Solovej
University of Copenhagen