Pauli operators and the $\overline\partial$-Neumann problem

DOI10.13108/2017-9-3-165zbMath1463.32017OpenAlexW2776348864MaRDI QIDQ5136719

Friedrich Haslinger

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa384

zbMATH Keywords

Schrödinger operatorscompactnessPauli operators\( \overline{\partial} \)-Neumann problem

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Schrödinger operator, Schrödinger equation (35J10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10) Bergman spaces and Fock spaces (30H20)

Cites Work

• Infiniteness of zero modes for the Pauli operator with singular magnetic field
• Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces
• On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\)
• Spectral properties of Schrödinger operators with magnetic fields for a spin \({1 \over{} 2}\) particle
• On some spectral properties of the weighted \(\overline\partial\)-Neumann operator
• The \(\bar \partial\) Neumann problem and Schrödinger operators
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