Cuenin-Merz2021_Article_WeakCouplingLimitForSchrödinge.pdf (487.86 kB)
Weak coupling limit for Schrödinger-type operators with degenerate kinetic energy for a large class of potentials
journal contribution
posted on 2021-04-29, 10:08 authored by Jean-Claude CueninJean-Claude Cuenin, Konstantin MerzWe improve results by Frank, Hainzl, Naboko, and Seiringer (J Geom Anal 17(4):559–567, 2007) and Hainzl and Seiringer (Math Nachr 283(3):489–499, 2010) on the weak coupling limit of eigenvalues for Schrödinger-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 Frank, Hainzl, Naboko, and Seiringer (2007), Hainzl and Seiringer (2010) is the use of the Tomas–Stein theorem.
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School
- Science
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- Mathematical Sciences
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Letters in Mathematical PhysicsVolume
111Issue
2Publisher
SpringerVersion
- VoR (Version of Record)
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© The AuthorsPublisher statement
This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/Acceptance date
2021-03-11Publication date
2021-04-07Copyright date
2021ISSN
0377-9017eISSN
1573-0530Publisher version
Language
- en
Depositor
Dr Jean-Claude Cuenin. Deposit date: 29 April 2021Article number
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