Moritz Doll

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20182026

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math.AP2018

Schrödinger Trace Invariants for Homogeneous Perturbations of the Harmonic Oscillator

Moritz Doll, Steve Zelditch

Let $H = H_{0} + P$ denote the harmonic oscillator on $R^{d}$ perturbed by an isotropic pseudodifferential operator $P$ of order $1$ and let $U(t) = \operatorname{exp}(- it H)…

math.AP2018

Lagrangian distributions on asymptotically Euclidean manifolds

Sandro Coriasco, Moritz Doll, René M. Schulz

We develop the notion of Lagrangian distribution on scattering manifolds, meaning on the compactified cotangent bundle, which is a manifold with corners equipped with a scattering…