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Conference on "Mathematical properties of large quantum systems"
Organizers: Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Robert Seiringer (McGill, Montréal) & Jan Philip Solovej (Copenhagen)


Michael Weinstein (New York, USA): "Waves in Honeycomb Structures"
Thursday 20 June 2013, 09:30 - 10:15
Amphi Hermite


We study the propagation of waves governed by the non-relativistic Schrödinger equation in two-dimensional media with honeycomb symmetry. We explain how conical singularities arise in dispersion surfaces for quasi-momenta of high symmetry (the vertices of the hexagonal Brillouin zone). We then show how the dynamics of wave-packets, which are spectrally localized at these quasi-momenta, is governed by the two-dimensional Dirac equations. This behavior plays an important role in quantum/electronic physics of graphene and in other physical systems with honeycomb symmetry.

This is joint work with C.L. Fefferman.