论文标题
Schrödinger操作员的界限，在半线上受到耗散障碍的扰动
Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers
论文作者
论文摘要
我们考虑$ h_r = -d^2/ d x^2 + q + q +iγχ_{[0，r]} $的Schrödinger运算符，用于大$ r> 0 $，其中$ q \ in l^1（0，\ infty）$和$γ> 0 $。特征值和特征值数量的最大幅度的边界已证明。这些界限补充了适用于该系统的现有通用界限，适用于足够大的$ r $。
We consider Schrödinger operators of the form $H_R = - d^2/ d x^2 + q + i γχ_{[0,R]}$ for large $R>0$, where $q \in L^1(0,\infty)$ and $γ> 0$. Bounds for the maximum magnitude of an eigenvalue and for the number of eigenvalues are proved. These bounds complement existing general bounds applied to this system, for sufficiently large $R$.
