Trapped mesoscopic quantum gas in a magnetic field
P N Vorontsov-Velyaminov; R I Gorbunov; S D Ivanov; P N Vorontsov-Velyaminov; Faculty of Physics, St Petersburg University, 198904 St Petersburg, Russia; R I Gorbunov; Faculty of Physics, St Petersburg University, 198904 St Petersburg, Russia; S D Ivanov; Faculty of Physics, St Petersburg University, 198904 St Petersburg, Russia
Журнал:
Journal of Physics A: Mathematical and General
Дата:
2000-03-10
Аннотация:
Feynman-type series for grand potential , number of particles, internal energy, magnetization and susceptibility are derived for systems of noninteracting quantum particles in an external magnetic field. Numerical calculations at constant N for harmonically trapped systems of fermions and bosons in the presence of a homogeneous magnetic field are carried out with the aid of both Feynman-type series and series over single-particle states. N -convergence to universal curves for chemical potential and energy is presented. At low temperatures magnetization of the Fermi gas exhibits a pronounced quantum behaviour.
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