Principal problems in Bose-Einstein condensation of dilute gases
V.I. Yukalov

TL;DR
This paper surveys the key theoretical challenges in understanding Bose-Einstein condensation in dilute gases, emphasizing the importance of resolving contradictions to better interpret experimental results.
Contribution
It critically analyzes existing theoretical issues in Bose-Einstein condensation, providing clarity on fundamental problems for future research and experimental interpretation.
Findings
Identification of key theoretical contradictions
Analysis of uniform and trapped gas models
Emphasis on resolving theoretical issues for experimental insight
Abstract
A survey is given of the present state of the art in studying Bose-Einstein condensation of dilute atomic gases. The bulk of attention is focused on the principal theoretical problems, though the related experiments are also mentioned. Both uniform and nonuniform trapped gases are considered. Existing theoretical contradictions are critically analysed. A correct understanding of the principal theoretical problems is necessary for gaining a more penetrating insight into experiments with trapped atoms and for their proper interpretation.
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