Benjamin Landon

The Scattering Length at Positive Temperature

A positive temperature analogue of the scattering length of a potential V can be defined via integrating the difference of the heat kernels of −Δ and

Bulk universality of sparse random matrices

{-\Delta + \frac{1}{2}V}

The Ground State Energy of the Multi-Polaron in the Strong Coupling Limit

, with Δ the Laplacian. An upper bound on this quantity is a crucial input in the derivation of a bound on the critical temperature of a dilute Bose gas (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009). In (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009), a bound was given in the case of finite range potentials and sufficiently low temperature. In this paper, we improve the bound and extend it to potentials of infinite range.