Asymptotic behavior of eigenvalues of Schr\"odinger type operators with degenerate kinetic energy

Abstract

We study the eigenvalues of Schr\"odinger type operators T + λ V and their asymptotic behavior in the small coupling limit λ 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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