Loughborough University
Browse
Kaleta-Lőrinczi2020_Article_Zero-EnergyBoundStateDecayForN.pdf (540 kB)

Zero-energy bound state decay for non-local Schrödinger operators

Download (540 kB)
journal contribution
posted on 2019-06-06, 08:40 authored by Kamil Kaleta, Jozsef Lorinczi
We 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 Physics

Volume

374

Issue

3

Pages

2151 - 2191

Citation

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 Authors

Version

  • 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

2019-05-28

Publication date

2019-07-17

Notes

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

0010-3616

eISSN

1432-0916

Language

  • en