https://doi.org/10.1007/s100530070015
Fermion gases in magnetic fields: a semiclassical treatment
INFM-BO and Laboratorio di Montecuccolino, via dei Colli 16, 40136 Bologna, Italy
and Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale,
University of Bologna, 40136 Bologna, Italy
Received:
10
March
2000
Published online: 15 November 2000
The study of quantum degenerate gases has received much interest in these last years essentially thanks to the extremely important experimental results of the achievement of Bose-Einstein condensation of atoms and, very recently, of almost complete degeneracy of atomic fermion gases. Here we want to present the results of a semi-analytical method for the study of an interacting degenerate fermion gas based on semiclassical kinetic theory; special care has been devoted to the study of a rotating electron gas, in a cylindrically symmetrical configuration, radially confined by a uniform magnetic field. The model will lead to a particular Thomas-Fermi equation which is generalized to take into account finite temperature and average velocity of the gas, and which is further developed to consider the effects of external fields.
PACS: 05.30.Fk – Fermion systems and electron gas / 31.15.Bs – Statistical model calculations (including Thomas-Fermi and Thomas-Fermi-Dirac models) / 03.65.Sq – Semiclassical theories and applications
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
