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arXiv · 2006.07110

Weak coupling limit for Schr\"odinger-type operators with degenerate kinetic energy for a large class of potentials

Jean-Claude Cuenin·Konstantin Merz
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Abstract

We improve results by Frank, Hainzl, Naboko, and Seiringer [12] and Hainzl and Seiringer [20] on the weak coupling limit of eigenvalues for Schr\"odinger-type operators whose kinetic energy vanishes on a codimension one submanifold. The main technical innovation that allows us to go beyond the potentials considered in [12, 20] is the use of the Tomas-Stein theorem.

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Jean-Claude Cuenin, Konstantin Merz. 2020-06-12. Weak coupling limit for Schr\"odinger-type operators with degenerate kinetic energy for a large class of potentials. https://doi.org/10.1007/s11005-021-01385-2

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