Weak coupling limit for Schr\"odinger operators with degenerate kinetic energy for a large class of potentials
2020
We improve results by Frank et al. [11] and Hainzl-Seiringer [19] on the weak coupling limit of eigenvalues for Schr\"odinger operators whose kinetic energy vanishes on a codimension one submanifold. The main technical innovation that allows us to go beyond the potentials considered in [11, 19] is the use of the Tomas-Stein theorem.
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