Generalized method of eigenoscillations in diffraction theory (1999)

by M Agranovich, B Katsenelenbaum, A Sivov, N Voitovich
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Eigenfrequencies and expansions for damped wave equations

by Michael Hitrik , 2003
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A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media

by G. Baruch, et al. - JOURNAL OF COMPUTATIONAL PHYSICS , 2009
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Abstract - Cited by 1 (1 self) - Add to MetaCart
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REMARK ON MAGNETIC SCHRÖDINGER OPERATORS IN EXTERIOR DOMAINS

by Ayman Kachmar, Mikael Persson, Ayman Kachmar, Mikael Persson , 2009
"... Abstract. We study the Schrödinger operator with a constant magnetic field in the exterior of a two-dimensional compact domain. Functions in the domain of the operator are subject to a boundary condition of the third type (Robin condition). In addition to the Landau levels, we obtain that the spectr ..."
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Abstract. We study the Schrödinger operator with a constant magnetic field in the exterior of a two-dimensional compact domain. Functions in the domain of the operator are subject to a boundary condition of the third type (Robin condition). In addition to the Landau levels, we obtain that the spectrum of this operator consists of clusters of eigenvalues around the Landau levels and that they do accumulate to the Landau levels from below. We give a precise asymptotic formula for the rate of accumulation of eigenvalues in these clusters, which appear to be independent from the boundary condition. 1.