本文研究了二维反谐振子在平方反比势和外角为aπ(0≤a<2)的楔子中的逗留时间,利用费曼路径积分法得到了波函数和相应密度的精确表达式,进一步利用数值积分方法计算了逗留时间与a的函数.结果表明,随着外角增加,逗留时间单调递增.在a→2的极限上有一个很大的跳跃,这意味着当楔子成为奇异线时,与没有楔子时存在着很大的差异.换句话说,尽管奇异线在二维空间中并不占据任何区域,但是由于奇异线的存在,使得逗留时间大大缩短,从而说明了边界条件的重要性.“,”By employing the Feynman path-integral approach, we investigate the sojourn time of the two-dimensional inverted inverse quadratic oscillator in a wedge with external angle aπ ( 0≤a<2 ). The exact expressions for the wave function and the corresponding density are obtained analytically, then the sojourn time as a function of a is calculated numerically. It is shown that the sojourn time monotonically increases as the external angle increases, but there is a big jump in the limit of a→2 implying that there is a huge difference between the case when the wedge becomes a singular line and the one without a wedge. In other words, although a singular line does not occupy any area in the two-dimensional space, the sojourn time can still be reduced dramatically due to the existence of the singular line, which may indicate the importance of the boundary condition.