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John Imbrie (University of Virginia)
Friday 26 October 2018, 14:30-15:30
Feshbach-Schur RG for the Anderson Model
â ī¸ Important: SRQW02 - Quantum field theory, renormalisation and stochastic partial differential equations
- đ¤ Speaker: John Imbrie (University of Virginia)
- đ Date & Time: Friday 26 October 2018, 14:30 - 15:30
- đ Venue: Seminar Room 1, Newton Institute
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Abstract
Consider the localization problem for the Anderson model of a quantum particle moving in a random potential. We develop a renormalization-group framework based on a sequence of Feshbach-Schur maps. Each map produces an effective Hamiltonian on a lower-dimensional space by localizing modes in space and in energy. Randomness in ever-larger neighborhoods produces nontrivial eigenvalue movement and separates eigenvalues, making the next step of the RG possible. We discuss a particularly challenging case where the disorder has a discrete distribution.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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