The scattering length at positive temperature

B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.


Journal Article | Published
Author
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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.
Publishing Year
Date Published
2012-06-01
Journal Title
Letters in Mathematical Physics
Volume
100
Issue
3
Page
237 - 243
IST-REx-ID

Cite this

Landon B, Seiringer R. The scattering length at positive temperature. Letters in Mathematical Physics. 2012;100(3):237-243. doi:10.1007/s11005-012-0566-5
Landon, B., & Seiringer, R. (2012). The scattering length at positive temperature. Letters in Mathematical Physics, 100(3), 237–243. https://doi.org/10.1007/s11005-012-0566-5
Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics 100, no. 3 (2012): 237–43. https://doi.org/10.1007/s11005-012-0566-5.
B. Landon and R. Seiringer, “The scattering length at positive temperature,” Letters in Mathematical Physics, vol. 100, no. 3, pp. 237–243, 2012.
Landon B, Seiringer R. 2012. The scattering length at positive temperature. Letters in Mathematical Physics. 100(3), 237–243.
Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:10.1007/s11005-012-0566-5.

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