2014/07/08 by L. Akant, Levent Akant, Emine Ertuğrul +9 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Non-Hermitian Physics #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1501.02743
27 pages, some important typos are corrected, journal submitted version
openalex publication_date 2014/07/08 · arxiv created 2015/05/13 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The boundary effects on the Bose-Einstein condensation of a Bose gas with a nonvanishing chemical potential on an ultra-static space-time are studied. High temperature regime, which is the relevant regime for the relativistic gas, is studied through the heat kernel expansion for both Dirichlet and Neumann boundary conditions. The high temperature expansion in the presence of a chemical potential is generated via the Mellin transform methods as applied to the harmonic sums representing the free energy and the depletion coefficient. The effects of boundary conditions on the relation between depletion coefficient and temperature are analyzed. The analysis is done for both charged and neutral bosons.