CAJ | 학술논문

由粒子运动较一般的能谱关系,根据量子统计的一般程序,通过求系统巨配分函数讨论任意维理想玻色系统产生玻色-爱因斯坦凝聚（BEC）现象的临界温度和条件。在无外势约束且满足热力学极限条件下,任意维理想玻色系统能否产生BEC现象取决于系统粒子运动空间的维数与粒子能谱关系中的动量指数大小。此结论为普适性结论,能够对无外势条件下低维理想玻色系统不发生BEC现象作出解释。
유입자운동교일반적능보관계,근거양자통계적일반정서,통과구계통거배분함수토론임의유이상파색계통산생파색-애인사탄응취（BEC）현상적림계온도화조건。재무외세약속차만족열역학겁한조건하,임의유이상파색계통능부산생BEC현상취결우계통입자운동공간적유수여입자능보관계중적동량지수대소。차결론위보괄성결론,능구대무외세조건하저유이상파색계통불발생BEC현상작출해석。
According to generic relation between particle's energy and momentum, we adopt the common procedure of quanta statistics which firstly work out the grand partition function, the critical temperature and producing condition of any dimensional ideal Bose system. With no external potential and in the thermodynamics condition, it is shown that the producing condition of any dimensional ideal Bose-Einstein Condensation only lies on the size relation between space dimensionality of particle and momentum's index in energy expression, which is a universal conclusion. For it, we can explain no Bose-Einstein Condensation with no external potential and under low dimensional soaces.