Hadrian Quan

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math.AP2024

Exponential localization of 2d Magnetic Schrödinger eigenfunctions via Brownian flux

Hadrian Quan

We study solutions of $\frac{1}{2} (- i \nabla - A (x))^{2} f = λ f$ on domains $Ω \subset R^{2}$ with Dirichlet boundary conditions and prove exponential decay estimates in terms of an…

math.AP2023

On localization of eigenfunctions of the magnetic Laplacian

Jeffrey S. Ovall, Hadrian Quan, Robyn Reid +1

Let $Ω \subset R^{d}$ and consider the magnetic Laplace operator given by $H (A) = (- i \nabla - A (x))^{2}$ , where $A : Ω \to R^{d}$ , subject to Dirichlet…