CORDIS Project
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This project investigates the universal patterns in large complex systems, focusing on the behavior of energy levels in quantum systems. It aims to develop new mathematical tools to prove the universality of these systems and analyze eigenvalue statistics, particularly in disordered quantum systems.
Large complex systems tend to develop universal patterns that often represent their essential characteristics. A pioneering vision of E.
Wigner was that the distribution of the gaps between energy levels of complicated quantum systems depends only on the basic symmetry of the model and is otherwise independent of the physical details.
This thesis has never been rigorously provedfor any realistic physical system but experimental data and extensive numerics leave no doubt as to its correctness.
Wi…
INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
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