Arne Jensen: Resolvent expansions for the three dimensional magnetic Schrödinger and Pauli operators.

Date: 2024-06-10

Time: 15:45 - 16:35

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Arne Jensen, Aalborg University

We obtain asymptotic resolvent expansions at the threshold of the essential spectrum for magnetic Schroedinger and Pauli operators in dimension three. These operators are treated as perturbations of the Laplace operator in \(L^2(\mathbb{R}^3)\) and \(L^2(\mathbb{R}^3;\mathbb{C}^2)\), respectively. The main novelty of our approach is to show that the relative perturbations, which are first order differential operators, can be factorized in suitably chosen auxiliary spaces. Joint work with H. Kovarik, Brescia.