文章主要研究了双势阱中Tonks-Giradeau气体的物理特性,利用修正的GP方程,得到了此种情况下的玻色约瑟夫森结方程,并据此导出了分数布居数及相位差.作为一个特例我们研究了TG气体在对称双势阱中的情况,并给以图像说明.最后预言在随时间变化的势阱中也会得到与弱相互作用典型不同的物理现象.
The physical properties of TG gas in a double well potential was studied. Using the modified Gross-Pitaevskii equation,we got the Bose-Josephson junction equations in this case,for which we deducted the phase difference and the fractional population difference. As a special case we studied the TG gas in two symmetric traps, and expounded them with the figures. Finally, we predicted that there were different obvious physical phenomena from the weakly interacting BEC in a time-dependent potential.