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

2002/01/16 by Siqi Fu, Fu, Siqi, Emil J. Straube +1
Mathematics · Physics and Astronomy · #31C40 #32W05 #35J10 #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.CV #math.MP #msc:31C40 #msc:32W05 #msc:35J10

paper · pdf · doi:10.48550/arxiv.math/0201149

14 pages

arxiv created 2002/01/16 · arxiv updated 2009/11/30

Abstract

We study the asymptotic behavior, in a ``semi-classical limit'', of the first eigenvalues (i.e. the groundstate energies) of a class of Schrödinger operators with magnetic fields and the relationship of this behavior with compactness in the ∂-Neumann problem on Hartogs domains in \C²

Related

• Compactness in the d-bar Neumann problem, magnetic Schrodinger operators, and the Aharonov-Bohm effect
• Magnetic Schroedinger operators and the d-bar equation
• Schrödinger operators with magnetic fields and the canonical solution operator to d-bar
• Magnetic fields and boundary conditions in spectral and asymptotic analysis
• Semiclassical analysis of Schrödinger operators with magnetic wells