Semi-classical analysis of Schrodinger operators and compactness in the d-bar-Neumann problem
Abstract
We study the asymptotic behavior, in a ``semi-classical limit'', of the first eigenvalues (i.e. the groundstate energies) of a class of Schr\"odinger operators with magnetic fields and the relationship of this behavior with compactness in the ∂-Neumann problem on Hartogs domains in 2
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