Study On The Thermodynamic Properties Of Bose Gases Under The Quantum Effect Of Gravity

When studying the "cooperation" between particles in the context of statistical physics and quantum mechanics,because the influence of gravity is minor,we usually ignore gravitational effects(in addition to the astrophysics or self-gravitational system of great mass for the research object).However,gravity is everywhere.In a quantum theory of gravity,the uncertainty principle in regular quantum mechanics is modified to the generalized uncertainty principle(GUP),which leads to the correction of the quantum state density in statistical physics.Furthermore,it may have a significant influence on the theoretical reasoning of physical properties.And some theoretical results have been subversive to traditional concepts,the above results are completely different from those deduced by traditional statistical physics,thus subverting it.In this paper,graviton theory or the generalized uncertainty principle,which is usually used for high temperature and high energy,is applied to the research and discussion of Bose-Einstein condensation and thermodynamic properties of low-temperature Bose gas in generalized external potential.The first chapter briefly introduces the quantum effect of gravity,the theoretical and experimental research status of the Bose system,the thermodynamic properties of the Bose system and the significance of the Bose-Einstein condensate by combining the quantum effect of gravity with the quantum statistical method in statistical mechanics.In the second chapter,the critical temperature of ideal Bose gas condensing in the D-dimensional generalized external potential under the quantum effect of gravity is studied,and the factors affecting the temperature of Bose-Einstein condensing are analyzed.In the third chapter,the thermodynamic properties of ideal Bose gases in different external potentials are studied under the GUP.Thermodynamic quantities,such as internal energy,heat capacity and entropy,are calculated analytically and analyzed numerically.Taking rubidium atom and sodium atom as examples,the modification of thermodynamic function of ideal Bose gas in 3-dimensional harmonic potential under gravitational quantum effect is discussed in detail when the temperature is lower than the Bose-Einstein condensate.The fourth chapter mainly studies the condensation of weakly interacting Bose gases in the generalized external potential under the quantum effect of gravity.In a real Bose system,the interactions between particles cannot be ignored.The condensation temperature of weakly interacting bosonic gas in the generalized external potential is calculated by using the local density approximation method,and the effects of gravitational quantum effect on the condensing temperature of weakly interacting Bose gas in three dimensional harmonic potential are analyzed and compared.Finally,this paper briefly summarizes and prospects the following research.