Semi-classical analysis of Schrödinger operators and compactness in the \(\bar\partial\)-Neumann problem

DOI10.1016/S0022-247X(02)00086-0zbMath1098.32021arXivmath/0201149OpenAlexW2099481620WikidataQ64356822 ScholiaQ64356822MaRDI QIDQ1849154

Emil J. Straube, Siqi Fu

Publication date: 28 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201149

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items

Geometric conditions which imply compactness of the \({\overline\partial}\)-Neumann operator., Heat equations in \(\mathbb {R} \times \mathbb {C}\), Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces, Pointwise estimates for relative fundamental solutions of heat equations in \({\mathbb{R} \times \mathbb{C}}\), Spectrum of the \(\overline\partial\)-Neumann Laplacian on the Fock space, Spectral properties of the canonical solution operator to \(\overline{\partial}\), Hearing the type of a domain in \(\mathbb C^2\) with the \(\bar{\partial}\)-Neumann Laplacian, Hartogs domains and the Diederich-Fornæss index, Analytic discs, plurisubharmonic hulls, and non-compactness of the \(\bar\partial\)-Neumann operator, On compactness of Hankel and the \(\overline{\partial}\)-Neumann operators on Hartogs domains in \(\mathbb {C}^2\), On compactness of the ∂̄-Neumann operator on Hartogs domains, Unnamed Item, Spectral stability of the \(\overline{\partial}\)-Neumann Laplacian: domain perturbations, Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect, Discreteness of the spectrum of Schrödinger operators with non-negative matrix-valued potentials, Some aspects of Property for

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