1998/10/08 by Klaus Kirsten, David J. Toms · 55 citations
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Condensation #Einstein #Extension (predicate logic) #Function (biology) #Ideal (ethics) #Mathematical physics #Mathematics #Partition (number theory) #Partition function (quantum field theory) #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Representation (politics) #Statistical physics #Strong Light-Matter Interactions #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.59.158
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 59(1), 158-167 (American Physical Society) · 10 pages, LaTeX, to appear in Physical Review E
arxiv created 1998/10/08 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss the phenomenon of Bose-Einstein condensation of an ideal nonrelativistic Bose gas in an arbitrarily shaped cavity. The influence of the finite extension of the cavity on all thermodynamical quantities, especially on the critical temperature of the system, is considered. We use two main methods that are shown to be equivalent. The first deals with the partition function as a sum over energy levels and uses a Mellin-Barnes integral representation to extract an asymptotic formula. The second method converts the sum over the energy levels to an integral with a suitable density of states factor obtained from spectral analysis. The application to some simple cavities is discussed.