Chapter

Tan Relations and the Contact Parameter

Lev Pitaevskii and Sandro Stringari

in Bose-Einstein Condensation and Superfluidity

Published in print January 2016 | ISBN: 9780198758884
Published online March 2016 | e-ISBN: 9780191818721 | DOI: https://dx.doi.org/10.1093/acprof:oso/9780198758884.003.0018

Series: International Series of Monographs on Physics

Tan Relations and the Contact Parameter

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This chapter is devoted to the derivation of various thermodynamic relations, known as Tan relations, involving the so-called contact parameter. This physical quantity, which determines the behaviour of the momentum distribution of an interacting gas at large momenta, plays a crucial role in characterizing various thermodynamic quantities, like the dependence of the energy on the scattering length (sweep theorem), the relation between the energy and the momentum distribution, the behaviour of the static structure factor at large wave vectors, and the virial theorem in the presence of harmonic trapping.

Keywords: Tan relations; contact parameter; total contact parameter; momentum distribution; sweep theorem; scattering length; energy and momentum distribution; static structure factor; virial theorem

Chapter.  3916 words.  Illustrated.

Subjects: Condensed Matter Physics

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