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Spectral Fluctuations of Schrödinger Operators Generated by Critical Points of the Potential

✍ Scribed by Brice Camus


Publisher
Springer
Year
2006
Tongue
English
Weight
178 KB
Volume
123
Category
Article
ISSN
0022-4715

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Critical potentials of the eigenvalue ra
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In this paper, we consider an operator H defined on a compact smooth n-manifold M by H = -+ q acting on functions with Dirichlet or Neumann boundary conditions in the case ∂ M = ∅ and with eigenvalues λ 1 (q) < λ 2 (q) ≤ λ 3 (q) ≤ • • •. We investigate critical potentials of the ratio of two consecu