Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy

preprint2008arXivOpen access

We study the eigenvalues of Schrödinger type operators $T + λV$ and their asymptotic behavior in the small coupling limit $λ\to 0$ , in the case where the symbol of the kinetic energy, $T(p)$ , strongly degenerates on a non-trivial manifold of codimension one.

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Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy

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