Kaleta-Lőrinczi2020_Article_Zero-EnergyBoundStateDecayForN.pdf (540 kB)
Zero-energy bound state decay for non-local Schrödinger operators
journal contribution
posted on 2019-06-06, 08:40 authored by Kamil Kaleta, Jozsef LorincziWe consider solutions of the eigenvalue equation at zero energy for a class of non-local Schrödinger operators with potentials decreasing to zero at infinity. Using a path integral approach, we obtain detailed results on the spatial decay at infinity of both L2 and resonance solutions. We highlight the interplay of the kinetic term and the potential in these decay behaviours, and identify the decay mechanisms resulting from specific balances of global lifetimes with or without the potential.
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Mathematical PhysicsVolume
374Issue
3Pages
2151 - 2191Citation
KALETA, K. and LORINCZI, J., 2020. Zero-energy bound state decay for non-local Schrodinger operators. Communications in Mathematical Physics, 374 (3), pp.2151-2191.Publisher
Springer © The AuthorsVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/Acceptance date
2019-05-28Publication date
2019-07-17Notes
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.ISSN
0010-3616eISSN
1432-0916Publisher version
Language
- en