论文标题
在强电场中的二维量子限制恒星效应上
On the two-dimensional quantum confined Stark effect in strong electric fields
论文作者
论文摘要
我们认为在具有差异边界条件的二维有限域中，一个鲜明的哈密顿量。在强场限制下，我们在某些局部凸条件下得出了低洼特征值的三届渐近膨胀。这表明激发频率在由电场方向确定的一定点上与边界曲率的平方根成正比。
We consider a Stark Hamiltonian on a two-dimensional bounded domain with Dirichlet boundary conditions. In the strong electric field limit we derive, under certain local convexity conditions, a three-term asymptotic expansion of the low-lying eigenvalues. This shows that the excitation frequencies are proportional to the square root of the boundary curvature at a certain point determined by the direction of the electric field.
