Random Schrödinger operators with complex decaying potentials

We prove that the eigenvalues of a continuum random Schrödinger operator −∆ + Vω of Anderson type, with complex decaying potential, can be bounded (with high probability) in terms of an Lq norm of the potential for all q ≤ d + 1. This shows that in the random setting, the exponent q can be essential...

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Bibliographic Details
Main Authors: Jean-Claude Cuenin, Konstantin Merz
Format: Default Article
Published: 2025
Subjects:
Applied mathematics
Pure mathematics
random Schrödinger operator
long-range potential
complex eigenvalue estimates
Lieb-Thirring
Online Access:https://hdl.handle.net/2134/24460324.v1
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