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

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

2008-08-27

arxiv.org/abs/0808.3737v1

Math. Nachr. 283, 489 (2010)

Mathematics

Spectral Theory

Scientific paper

We study the eigenvalues of Schr\"odinger type operators $T +
\lambda V$ and their asymptotic behavior in the small coupling limit
$\lambda \to 0$, 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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