Statistic Properties Of Fermi Gas Trapped In Both Gravity Field And Magnetic Field

In recent years,the study of the influence of external potential on the property of Fermi Gas has become a hot topic.Particularly,the Fermi Gas under constraint of harmonic potential is deeply studied and achieves fruitful results.As is known to all,gravity field is an objective existence potential field.Although the gravitational force is extremely weak in the micro field,however,study shows that quantum effect of the gravitational force does exist.With experimental means more and more fine,and measurement more and more accurate,thus in the theoretical study,considering the influence of the gravity field on the statistic properties of the Fermi Gas is needed.Especially for the Fermi system with fine structure and hyperfine structure,the influence of the gravity field can not be ignored.Magnetic field is also a kind of important external potential constraint and there are many studies on the properties of Fermi Gas trapped in the strong magnetic field.However,the statistic properties of Fermi Gas trapped in both gravity field and magnetic field are not studied.So there is more practical significance to study the statistic properties of the Fermi system under the restriction of double fields.In this paper,we mainly study the statistic properties of Fermi Gas trapped in both magnetic field and gravity field.First of all,based on the semiclassical approximation,the energy spectrum of single fermion trapped in both gravity field and magnetic field is given.By using Poisson's formul,the thermodynamic potential function of Fermi Gas trapped in double fields is derived.Furthermore,by using the thermodynamic relationships,the analytical expressions of the energy?the heat capacity and the chemical potential of Fermi Gas are obtained,and the influence mechanism of gravity field on the thermodynamic properties of the system trapped in the background of strong magnetic field is analysed by numerical simulation.After that,by using thermodynamic potential function of the Fermi system trapped in double fields,the discrimination formula of the condition of mechanical stability and thermal stability of the Fermi Gas is derived.Besides,the influence of gravity field on the mechanical stability and thermal stability of the Fermi Gas trapped in the background of strong magnetic field is studied by the method of numerical simulation.Last,based on the thermodynamic potential function of the Fermi system trapped in double fields,Furthermore,by using the thermodynamic relationships,the analytical expressions of the magnetic susptibility of Fermi Gas at low temperature are obtained.The influence mechanism of gravity field on the paramagnetism of Fermi Gas trapped in the background of strong magnetic field is analysed by numerical simulation.