Author(s):

Landon, Benjamin; Seiringer, Robert

Article Title: 
The scattering length at positive temperature

Affiliation 

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 Δ and, 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.

Journal Title:

Letters in Mathematical Physics

Volume: 
100

Issue 
3

ISSN:

15730530

Publisher:

Springer

Date Published:

20120601

Start Page: 
237

End Page:

243

URL: 

DOI: 
10.1007/s1100501205665

Open access: 
yes (repository) 