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

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...

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Bibliographic Details
Main Authors: Kamil Kaleta, Jozsef Lorinczi
Format: Default Article
Published: 2019
Subjects:
Other mathematical sciences not elsewhere classified
Foundations of quantum mechanics
Non-local Schrodinger operator
Zero eigenvalues and resonances
Generalized eigenfunctions
FeynmanKac semigroup
Symmetric Levy process
Quantum Mechanics
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/37879
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https://hdl.handle.net/2134/37879

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