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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 Loss (Atlanta, USA): "Spectral gap for the Kac model with hard sphere collisions"
Thursday 20 June 2013, 11:00 - 11:45
Amphi Hermite


In 1956 Kac invented a master equation describing randomly colliding particles whose collision times arrive in a Poisson stream with a constant rate, i.e., a rate independent of the energy of the colliding particles (Maxwellian molecules). This talk is about joint work with Eric Carlen and Maria C. Carvalho on the analogous model where the jump rate between two particles depends on the  energy of the colliding particles. The main result is a positive lower bound on the gap that is independent of the particle number and hence verifying Kac's conjecture also for this model.