2016/05/23 by V. I. Yukalov, V I Yukalov
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Continuation #Mathematical statistics #Mathematical theory #Order (exchange) #Order statistic #Phenomenon #Probability and statistics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #cond-mat.quant-gas
paper · pdf · doi:10.1088/1054-660x/26/6/062001
published as Laser Phys. 26 (2016) 062001 · Latex file, 156 pages, Tutorial
openalex publication_date 2016/05/23 · arxiv created 2016/05/25 · arxiv updated 2016/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This tutorial is the continuation of the previous tutorial part, published in (2013 Laser Phys . 23 062001 ), where the basic mathematical techniques required for an accurate description of cold atoms for both types of quantum statistics are expounded. In the present part, the specifics of the correct theoretical description of atoms obeying Bose–Einstein statistics are explained, including trapped Bose atoms. In the theory of systems exhibiting the phenomenon of Bose–Einstein condensation, there exists a number of delicate mathematical points, whose misunderstanding often results in principally wrong conclusions. This is why the consideration in the present tutorial is sufficiently detailed in order that the reader could clearly understand the underlying mathematics and would avoid confusions.