论文标题
具有对称潜力的一维schrödinger操作员的自动伴侣扩展
Self-Adjoint extensions of the one-dimensional Schrödinger operator with symmetric potential
论文作者
论文摘要
我们在具有对称的实价势和边界条件的一维schrödinger差异操作员的自相关扩展的域之间给出了明确的对应关系，而所得域中的函数必须满足。众所周知，每个自我接合线扩展都通过一个单位矩阵进行了参数。我们将此统一矩阵的对应关系与边界条件明确，以特殊情况恢复最熟悉的边界条件类型。我们还针对非对称的实现潜在电位暗示了这种对应关系。
We give an explicit correspondence between the domains of the self-adjoint extensions of a one-dimensional Schrödinger differential operator with symmetric real-valued potential and the boundary conditions the functions in the resulting domains must satisfy. As is well known, each self-adjoint extension is parametrized by a unitary matrix. We make the correspondence of this unitary matrix with the boundary conditions explicit, recovering the most familiar types of boundary conditions as special cases. We also demonstrate this correspondence implicitly for non-symmetric real-valued potential.
