Spectral and analytic properties of some non-local Schrödinger operators and related jump processes

We discuss recent developments in the spectral theory of non-local SchrOdinger operators via a Feynman-Kac-type approach. The processes we consider are subordinate Brownian motion and a class of jump Levy processes under a Kato-class potential. We discuss some explicitly soluble specific cases, and...

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Bibliographic Details
Main Authors: Jozsef Lorinczi, Kamil Kaleta, Samuel O. Durugo
Format: Default Article
Published: 2015
Subjects:
Other mathematical sciences not elsewhere classified
Levy processes
Non-local Schrodinger operators
Feynman-Kac semigroups
Spectral properties
Decay of eigenfunctions
Lieb-Thirring inequality
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/18913
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