Weak coupling limit for Schrödinger-type operators with degenerate kinetic energy for a large class of potentials
نویسندگان
چکیده
Abstract We improve results by Frank, Hainzl, Naboko, and Seiringer (J Geom Anal 17(4):559–567, 2007) Hainzl (Math Nachr 283(3):489–499, 2010) on the weak coupling limit of eigenvalues for Schrödinger-type operators whose kinetic energy vanishes a codimension one submanifold. The main technical innovation that allows us to go beyond potentials considered in (2007), (2010) is use Tomas–Stein theorem.
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2021
ISSN: ['0377-9017', '1573-0530']
DOI: https://doi.org/10.1007/s11005-021-01385-2