The scattering length at positive temperature
Abstract
A positive temperature analogue of the scattering length of a potential V can be defined via integrating the difference of the heat kernels of - and - + 12 V, with 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 SU. In SU 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.
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