11 citations
3 papers
math.CA2017★ 1 cited
Representations for the derivative at zero and finite parts of the Barnes zeta function
José M. B. Noronha
We provide new representations for the finite parts at the poles and the derivative at zero of the Barnes zeta function in any dimension in the general case. These representations…
cond-mat.quant-gas2016★ 11 cited
Finite-size effects on the Bose-Einstein condensation critical temperature in a harmonic trap
José M. B. Noronha
We obtain second and higher order corrections to the shift of the Bose-Einstein critical temperature due to finite-size effects. The confinement is that of a harmonic trap with gen…
cond-mat.quant-gas2013★ 11 cited
Bose-Einstein condensation in the three-sphere and the infinite slab: analytical results
J. M. B. Noronha, D. J. Toms
We study the finite size effects on Bose-Einstein condensation (BEC) of an ideal non-relativistic Bose gas in the three-sphere (spatial section of the Einstein universe) and in a p…