Simon Becker

activity

20182021

most citedComputing solutions of Schrödinger equations on unbounded domains- On the brink of numerical algorithms

6 citations · 10 across the 4 of their papers we have counts for

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math.SP2020

Schrödinger and polyharmonic operators on infinite graphs: Parabolic well-posedness and p-independence of spectra

Simon Becker, Federica Gregorio, Delio Mugnolo

We analyze properties of semigroups generated by Schrödinger operators $- Δ + V$ or polyharmonic operators $- (- Δ)^{m}$ , on metric graphs both on $L^{p}$ -spaces and spaces of continuous fu…

math.SP2018

Cantor spectrum of graphene in magnetic fields

Simon Becker, Rui Han, Svetlana Jitomirskaya

We consider a quantum graph as a model of graphene in magnetic fields and give a complete analysis of the spectrum, for all constant fluxes. In particular, we show that if the redu…