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

Abstract

We study the eigenvalues of Schrödinger 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.

References in corpus (3)

• Bound states in a 2D short range potential induced by spin-orbit interaction
• On the number of bound states for weak perturbations of spin-orbit Hamiltonians
• Trapped modes for the elastic plate with a perturbation of Young's modulus

Cited by in corpus (1)

• Weakly coupled bound states of Pauli operators