Fermionic behavior of ideal anyons

18 Dec 2017  ·  Lundholm Douglas, Seiringer Robert ·

We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter $\alpha$... The lower bounds extend to Lieb-Thirring inequalities for all anyons except bosons. read more

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Mathematical Physics Quantum Gases Mathematical Physics Spectral Theory