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The spectral bound of Schrodinger operators

Abstract:
Let V : RN → [0, ∞] be a measurable function, and λ > 0 be a parameter. We consider the behaviour of the spectral bound of the operator 1/2Δ - λV as a function of λ. In particular, we give a formula for the limiting value as λ → ∞, in terms of the integrals of V over subsets of RN on which the Laplacian with Dirichlet boundary conditions has prescribed values. We also consider the question whether this limiting value is attained for finite λ. © 1996 Kluwer Academic Publishers.
Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
POTENTIAL ANALYSIS
Volume:
5
Issue:
3
Pages:
207-230
Publication date:
1996-06-05
ISSN:
0926-2601
URN:
uuid:dc3cb7fa-9ac8-4d5e-b5a8-21b6a1d0be1c
Source identifiers:
27274
Local pid:
pubs:27274

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