The scattering length at positive temperature Journal Article


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: 1573-0530
Publisher: Springer  
Date Published: 2012-06-01
Start Page: 237
End Page: 243
URL:
DOI: 10.1007/s11005-012-0566-5
Open access: yes (repository)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer
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