English

Anomalous Effects in a Trapped Bose-Einstein Condensate

Quantum Gases 2016-10-05 v1 Statistical Mechanics

Abstract

We study the anomalous density in an ultra-cold trapped bose gas in a variational framework, for both zero and finite temperature. We show that it is finite in 1D, while it is logarithmically and linearly divergent in 2D and 3D. The renormalization that we adopt is more reliable and compatible with the variational scheme. The main outcome is that the anomalous and non condensate densities are of the

Keywords

Cite

@article{arxiv.1303.5639,
  title  = {Anomalous Effects in a Trapped Bose-Einstein Condensate},
  author = {Benarous Mohamed},
  journal= {arXiv preprint arXiv:1303.5639},
  year   = {2016}
}

Comments

14 pages

R2 v1 2026-06-21T23:46:40.033Z