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Recent advances on quantum systems with random Hamiltonians

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The theory of random Hamiltonians was initiated by future Nobel laureates Mott and Anderson in the late 1950’s, largely at the Cavendish, and is still a hot topic in both theoretical and mathematical physics.

Until 2008, the literature in this field focused on a single-particle case; even highly imaginative physicists rarely ventured to consider what happens to two or more particles. Recent results on multi-particle systems (in which I took some modest part) provided a rare example where rigorous mathematical thinking overtook, at least for a while, libertarian physical reasoning. The talk focuses on these developments; no specific knowledge of Probability Theory or Quantum Mechanics is expected from the audience.

This talk is part of the CMS Colloquia series.

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