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Spectral properties of some Hamiltonians modeling superconductors

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Mathematics and Physics of Anderson localization: 50 Years After

We discuss the spectral theory of some Hamiltonians which arise in the theory of superconductors. These operators are given by operator valued two-by-two matrices which describe the evolution of both electrons and holes as well as the interaction between them. We investigate the behavior of the density of states of such operators as well as localization properties. This is joint work with Bernd Metzger and Peter Muller.

This talk is part of the Isaac Newton Institute Seminar Series series.

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