等腰直角三角形腔中的负离子光剥离研究

Study on negative ion photodetachment in isosceles right triangle cavity

基于等腰直角三角形势阱中的能量本征值和本征波函数,利用量子力学传统方法计算了氢负离子处于一个横截面为等腰直角三角形腔内的光剥离截面.等腰直角三角形势阱中的能量本征态无法通过分离变量的方法求解,但是该问题是完全可解的.通过计算,得到了光剥离截面随能量变化的解析表达公式.公式表明,振荡与离子的位置和光子的极化有关.公式还给出了剥离截面的阈值行为.进一步研究发现,当氢负离子处在等腰直角三角形的直角顶角附近时,本文中使用量子力学传统方法得到的结果与已有的氢负离子处于直角域内时使用闭合轨道理论的方法得到的结果是一致的.

Based on the energy eigenvalues and eigenfunctions in the isosceles right triangle cavity,the negative hydrogen ion photodetachment cross section in the isosceles right triangle cavity being studied by traditional quantum mechanical method.The energy eigenstate in the isosceles right triangle cavity cannot be solved by the method of separating variables,but the problem is completely solvable.Through the calculation,the analytical expression formula of the photodetachment cross section with energy is obtained.The formulas indicate that the oscillations are related to the positions of the ion and the photon polarization.The formula also gives the threshold behavior of the photodetachment cross section.Further studies have found that when the negative hydrogen ion is near the right angle of the isosceles right triangle,the results obtained using the traditional quantum mechanical method are consistent with the results obtained by the closed orbit theory when the negative hydrogen ion is in a wedge with an opening angle of 90 degrees.