2000/08/22 by Luca Salasnich · 71 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Ideal (ethics) #Ideal gas #Ideal gas law #Law #Mathematics #Physics #Political science #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #Space (punctuation) #Theoretical physics #math-ph #math.MP
paper · pdf · doi:10.1063/1.1322078
published in Journal of Mathematical Physics 41(12), 8016-8024 (American Institute of Physics) · 18 pages, Latex, to be published in Journal of Mathematical Physics
arxiv created 2000/08/22 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate ideal quantum gases in D-dimensional space and confined in a generic external potential by using the semiclassical approximation. In particular, we derive density of states, density profiles and critical temperatures for Fermions and Bosons trapped in isotropic power-law potentials. From such results, one can easily obtain those of quantum gases in a rigid box and in a harmonic trap. Finally, we show that the Bose–Einstein condensation can set up in a confining power-law potential if and only if D/2+D/n>1, where D is the space dimension and n is the power-law exponent.