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Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in R^d

Student-Run Research Seminar

Speaker: Jake Reschke, UC Davis
Location: 2112 MSB
Start time: Tue, Oct 29 2019, 12:30PM

We obtain dynamics as a strongly continuous automorphism of the standard CAR algebra for a class of interacting fermion models in R^d.
This is done by introducing a UV cutoff for the two-body interaction, which makes the interactions restricted to finite volumes a bounded perturbation of the infinite volume free dynamics.