Rupert L. Frank

activity

20102025

most citedEigenvalue bounds for Schrödinger operators with complex potentials

144 citations · 163 across the 8 of their papers we have counts for

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math.SP2024

Open problem: Violation of locality for Schrödinger operators with complex potentials

Jean-Claude Cuenin, Rupert L. Frank

We explain in which sense Schrödinger operators with complex potentials appear to violate locality (or Weyl's asymptotics), and we pose three open problems related to this phenomen…

math.AP2024

Minimizing Schrödinger eigenvalues for confining potentials

Rupert L. Frank

We consider the problem of minimizing the lowest eigenvalue of the Schrödinger operator $- Δ + V$ in $L^{2} (R^{d})$ when the integral $\int e^{- t V} d x$ is given for some $t > 0$ . W…