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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/37879

Title: Zero-energy bound state decay for non-local Schrodinger operators
Authors: Kaleta, Kamil
Lorinczi, Jozsef
Keywords: Non-local Schrodinger operator
Zero eigenvalues and resonances
Generalized eigenfunctions
FeynmanKac semigroup
Symmetric Levy process
Issue Date: 2019
Publisher: Springer
Citation: KALETA, K. and LORINCZI, J., 2019. Zero-energy bound state decay for non-local Schrodinger operators. Communications in Mathematical Physics, In Press.
Abstract: We consider solutions of the eigenvalue equation at zero energy for a class of non-local Schrodinger operators with potentials decreasing to zero at infinity. Using a path integral approach, we obtain detailed results on the spatial decay of both $L^2$ and resonance solutions at infinity. 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.
Description: This paper is in closed access until 12 months after publication.
Sponsor: We consider solutions of the eigenvalue equation at zero energy for a class of non-local Schrodinger 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 L 2 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.
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/37879
Publisher Link: https://link.springer.com/journal/220
ISSN: 0010-3616
Appears in Collections:Closed Access (Maths)

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