Anderson localization for the Maryland model with long range interactions
Jia Shi, Xiaoping Yuan
TL;DR
This paper proves Anderson localization in the Maryland model extended to include long-range interactions, advancing understanding of localization phenomena in complex quantum systems.
Contribution
It introduces a novel analysis demonstrating localization in the Maryland model with long-range interactions, a case not previously established.
Findings
Proves Anderson localization for the extended Maryland model
Extends localization results to models with long-range interactions
Provides mathematical framework for analyzing similar quantum systems
Abstract
In this paper, we establish Anderson localization for the Maryland model with long range interactions.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Stability and Controllability of Differential Equations · Advanced Mathematical Physics Problems