Ideal quantum gases in D-dimensional space and power-law potentials
Anno: 2000
Autori: Salasnich L.
Affiliazione autori: Univ Milan, Dipartimento Fis, Ist Nazl Fis Mat, Unita Milano, I-20133 Milan, Italy
Abstract: 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. (C) 2000 American Institute of Physics.
Giornale/Rivista: JOURNAL OF MATHEMATICAL PHYSICS
Volume: 41 (12) Da Pagina: 8016 A: 8024
Parole chiavi: quantum gasesDOI: 10.1063/1.1322078Citazioni: 64dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui