Semi-classical analysis of Schrodinger operators and compactness in the d-bar-Neumann problem

Details Semi-classical analysis of Schrodinger operators and compactness in the d-bar-Neumann problem Semi-classical analysis of Schrodinger operators and compactness in the d-bar-Neumann problem

2002-01-16

arxiv.org/abs/math/0201149v1

Mathematics

Complex Variables

14 pages

Scientific paper

We study the asymptotic behavior, in a ``semi-classical limit'', of the first
eigenvalues (i.e. the groundstate energies) of a class of Schr\"{o}dinger
operators with magnetic fields and the relationship of this behavior with
compactness in the $\bar\partial$-Neumann problem on Hartogs domains in $\C^2$

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