Institute of Mathematics Jena

Summer School

Spectral Theory
Schrödinger Operators

Jena, July 31 - August 3, 2018

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Keita Mikami (University of Tokyo)
Geometric Scattering for Schrödinger Operators with Asymptotically Homogeneous Potentials of Order Zero

We introduce the Scattering theory for the Schrödinger operators with potentials of order zero on asymptotically conic manifolds. We prove the existence and the completeness of the wave operators with a naturally defined free Hamiltonian.