Bose-Einstein condensation on a manifold with non-negative Ricci curvature

Levent Akant, Emine Ertuğrul, Ferzan Tapramaz, O. Teoman Turgut

Araştırma sonucu: Dergiye katkıMakalebilirkişi

1 Atıf (Scopus)

Özet

The Bose-Einstein condensation for an ideal Bose gas and for a dilute weakly interacting Bose gas in a manifold with non-negative Ricci curvature is investigated using the heat kernel and eigenvalue estimates of the Laplace operator. The main focus is on the nonrelativistic gas. However, special relativistic ideal gas is also discussed. The thermodynamic limit of the heat kernel and eigenvalue estimates is taken and the results are used to derive bounds for the depletion coefficient. In the case of a weakly interacting gas, Bogoliubov approximation is employed. The ground state is analyzed using heat kernel methods and finite size effects on the ground state energy are proposed. The justification of the c-number substitution on a manifold is given.

Orijinal dilİngilizce
Makale numarası013509
DergiJournal of Mathematical Physics
Hacim56
Basın numarası1
DOI'lar
Yayın durumuYayınlandı - 21 Oca 2015
Harici olarak yayınlandıEvet

Bibliyografik not

Publisher Copyright:
© 2015 AIP Publishing LLC.

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