1995/08/13 by Klaus Kirsten, David J. Toms · 2 citations
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Spectral Theory in Mathematical Physics #hep-th
paper · pdf · doi:10.1016/0370-2693(95)01505-1
published as Phys.Lett. B368 (1996) 119-123 · 9 pages, latex, no figures
arxiv created 1995/08/13 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We examine the occurrence of Bose-Einstein condensation in both nonrelativistic and relativistic systems with no self-interactions in a general setting. A simple condition for the occurrence of Bose-Einstein condensation can be given if we adopt generalized ζ-functions to define the quantum theory. We show that the crucial feature governing Bose-Einstein condensation is the dimension q associated with the continuous part of the eigenvalue spectrum of the Hamiltonian for nonrelativistic systems or the spatial part of the Klein-Gordon operator for relativistic systems. In either case Bose-Einstein condensation can only occur if q≥3.